-
3
-
-
52849111643
-
Beurling-Landau type theorems for non-uniform sampling in shift invariant spline spaces
-
Aldroubi A., and Gröchenig K. Beurling-Landau type theorems for non-uniform sampling in shift invariant spline spaces. J. Fourier Anal. Appl. 6 (2000) 91-101
-
(2000)
J. Fourier Anal. Appl.
, vol.6
, pp. 91-101
-
-
Aldroubi, A.1
Gröchenig, K.2
-
5
-
-
0028546458
-
The fractional Fourier transform and time-frequency representations
-
Almeida L.B. The fractional Fourier transform and time-frequency representations. IEEE Trans. Signal Processing 42 (1994) 3084-3091
-
(1994)
IEEE Trans. Signal Processing
, vol.42
, pp. 3084-3091
-
-
Almeida, L.B.1
-
7
-
-
5844297152
-
Theory of reproducing kernels
-
Aronszajn N. Theory of reproducing kernels. Trans. Am. Math. Soc. 68 (1950) 337-404
-
(1950)
Trans. Am. Math. Soc.
, vol.68
, pp. 337-404
-
-
Aronszajn, N.1
-
9
-
-
0001767332
-
A general bilinear vector integral
-
Bartle R.G. A general bilinear vector integral. Studia Math. 15 (1956) 337-352
-
(1956)
Studia Math.
, vol.15
, pp. 337-352
-
-
Bartle, R.G.1
-
10
-
-
0002237285
-
Irregular frames and sampling
-
Chui C.K. (Ed), Academic Press, San Diego
-
Benedetto J.J. Irregular frames and sampling. In: Chui C.K. (Ed). Wavelets-A Tutorial in Theory and Applications (1992), Academic Press, San Diego 445-507
-
(1992)
Wavelets-A Tutorial in Theory and Applications
, pp. 445-507
-
-
Benedetto, J.J.1
-
11
-
-
0002192277
-
Frame decompositions, sampling, and uncertainty principle inequalities
-
Benedetto J.J., and Frazier M.W. (Eds), CRC Press, Boca Raton, FL
-
Benedetto J.J. Frame decompositions, sampling, and uncertainty principle inequalities. In: Benedetto J.J., and Frazier M.W. (Eds). Wavelets: Mathematics and Applications Chap. 7 (1994), CRC Press, Boca Raton, FL
-
(1994)
Wavelets: Mathematics and Applications
, vol.Chap. 7
-
-
Benedetto, J.J.1
-
13
-
-
0003900766
-
Introduction to modern sampling theory
-
Benedetto J.J., and Ferreira P.J.S.G. (Eds), Birkhauser Boston, Cambridge, MA
-
Benedetto J.J., and Ferreira P.J.S.G. Introduction to modern sampling theory. In: Benedetto J.J., and Ferreira P.J.S.G. (Eds). Modern Sampling Theory: Mathematics and Applications Chap. 1 (2001), Birkhauser Boston, Cambridge, MA
-
(2001)
Modern Sampling Theory: Mathematics and Applications
, vol.Chap. 1
-
-
Benedetto, J.J.1
Ferreira, P.J.S.G.2
-
14
-
-
0003900766
-
-
Benedetto J.J., and Ferreira P.J.S.G. (Eds), Birkhauser Boston, Cambridge, MA
-
In: Benedetto J.J., and Ferreira P.J.S.G. (Eds). Modern Sampling Theory: Mathematics and Applications (2001), Birkhauser Boston, Cambridge, MA
-
(2001)
Modern Sampling Theory: Mathematics and Applications
-
-
-
15
-
-
34247488213
-
Frames and irregular sampling
-
Benedetto J.J., and Heller W. Frames and irregular sampling. Math. Note 10 Suppl. 1 (1990) 181-194
-
(1990)
Math. Note
, vol.10
, Issue.SUPPL. 1
, pp. 181-194
-
-
Benedetto, J.J.1
Heller, W.2
-
17
-
-
84915440675
-
On sampling the zeros of bandwidth limited signals
-
Bond F.E., and Chan C.R. On sampling the zeros of bandwidth limited signals. IRE Trans. Inf. Theory IT-4 (1958) 110-113
-
(1958)
IRE Trans. Inf. Theory
, vol.IT-4
, pp. 110-113
-
-
Bond, F.E.1
Chan, C.R.2
-
18
-
-
33646880896
-
Sur l'interpolation
-
Borel E. Sur l'interpolation. C. R. Acad. Sci. Paris 124 (1897) 673-676
-
(1897)
C. R. Acad. Sci. Paris
, vol.124
, pp. 673-676
-
-
Borel, E.1
-
19
-
-
0011325577
-
Reconstruction of MRI images from non-uniform sampling and its application to intrascan motion correction in functional MRI
-
Benedetto J.J., and Ferreira P.J.S.G. (Eds), Birkhauser Boston, Cambridge, MA
-
Bourgeois M., Wajer F., van Ormondt D., and Graveron-Demilly D. Reconstruction of MRI images from non-uniform sampling and its application to intrascan motion correction in functional MRI. In: Benedetto J.J., and Ferreira P.J.S.G. (Eds). Modern Sampling Theory: Mathematics and Applications Chap. 16 (2001), Birkhauser Boston, Cambridge, MA
-
(2001)
Modern Sampling Theory: Mathematics and Applications
, vol.Chap. 16
-
-
Bourgeois, M.1
Wajer, F.2
van Ormondt, D.3
Graveron-Demilly, D.4
-
20
-
-
0002900223
-
On the error in reconstructing non-bandlimited functions by means of the bandpass sampling theorem
-
Brown Jr. J.L. On the error in reconstructing non-bandlimited functions by means of the bandpass sampling theorem. J. Math. Anal. Appl. 18 (1967) 75-84
-
(1967)
J. Math. Anal. Appl.
, vol.18
, pp. 75-84
-
-
Brown Jr., J.L.1
-
21
-
-
4544384719
-
Sampling of bandlimited signals: Fundamental results and some extensions
-
Bose N.K., and Rao C.R. (Eds), Elsevier, Amsterdam
-
Brown Jr. J.L. Sampling of bandlimited signals: Fundamental results and some extensions. In: Bose N.K., and Rao C.R. (Eds). Handbook of Statistics Vol. 10 (1993), Elsevier, Amsterdam 59-101
-
(1993)
Handbook of Statistics
, vol.10
, pp. 59-101
-
-
Brown Jr., J.L.1
-
22
-
-
0001114755
-
A survey of Whittaker-Shannon sampling theorem and some of its extensions
-
Butzer P.L. A survey of Whittaker-Shannon sampling theorem and some of its extensions. J. Math. Res. Exposition 3 (1983) 185-212
-
(1983)
J. Math. Res. Exposition
, vol.3
, pp. 185-212
-
-
Butzer, P.L.1
-
23
-
-
0343058144
-
A self-contained approach to Mellin transform analysis for square intrrgable functions: Applications
-
Butzer P.L., and Jansche S. A self-contained approach to Mellin transform analysis for square intrrgable functions: Applications. Integral Transform. Spec. Funct. 8 3-4 (1999) 175-198
-
(1999)
Integral Transform. Spec. Funct.
, vol.8
, Issue.3-4
, pp. 175-198
-
-
Butzer, P.L.1
Jansche, S.2
-
24
-
-
0002915692
-
Kramer's sampling theorem in signal analysis and its role in mathematics
-
Blackledge J.M. (Ed), Oxford Univ. Press, London
-
Butzer P.L., and Nasri-Roudsari G. Kramer's sampling theorem in signal analysis and its role in mathematics. In: Blackledge J.M. (Ed). Image Processing: Mathematical Methods and Applications (1997), Oxford Univ. Press, London 49-95
-
(1997)
Image Processing: Mathematical Methods and Applications
, pp. 49-95
-
-
Butzer, P.L.1
Nasri-Roudsari, G.2
-
26
-
-
0042888830
-
The Euler-MacLaurin summation formula, the sampling theorem and approximate integration over the real axis
-
Butzer P.L., and Stens R.L. The Euler-MacLaurin summation formula, the sampling theorem and approximate integration over the real axis. Linear Algebra Appl. 52-53 (1983) 141-155
-
(1983)
Linear Algebra Appl.
, vol.52-53
, pp. 141-155
-
-
Butzer, P.L.1
Stens, R.L.2
-
27
-
-
0026838009
-
Sampling theory for not necessarily band-limited functions: A historical overview
-
Butzer P.L., and Stens R.L. Sampling theory for not necessarily band-limited functions: A historical overview. SIAM Rev. 34 (1992) 40-53
-
(1992)
SIAM Rev.
, vol.34
, pp. 40-53
-
-
Butzer, P.L.1
Stens, R.L.2
-
28
-
-
0014843347
-
On harmonizable stochastic processes
-
Cambanis S., and Liu B. On harmonizable stochastic processes. Inf. Control 17 (1970) 183-202
-
(1970)
Inf. Control
, vol.17
, pp. 183-202
-
-
Cambanis, S.1
Liu, B.2
-
29
-
-
0016882691
-
Zakai's class of band-limited of functions and processes: Its characterization and properties
-
Cambanis S., and Masry E. Zakai's class of band-limited of functions and processes: Its characterization and properties. SIAM J. Appl. Math. 30 (1976) 10-21
-
(1976)
SIAM J. Appl. Math.
, vol.30
, pp. 10-21
-
-
Cambanis, S.1
Masry, E.2
-
30
-
-
0001152466
-
Sampling theorem for the Fourier transform of a distribution with compact support
-
Campbell L.L. Sampling theorem for the Fourier transform of a distribution with compact support. SIAM J. Appl. Math. 16 (1968) 626-636
-
(1968)
SIAM J. Appl. Math.
, vol.16
, pp. 626-636
-
-
Campbell, L.L.1
-
31
-
-
0001736880
-
The art of frame theory
-
Casazza P.G. The art of frame theory. Taiwan. J. Math. 2 (2000) 129-201
-
(2000)
Taiwan. J. Math.
, vol.2
, pp. 129-201
-
-
Casazza, P.G.1
-
32
-
-
0347432129
-
Mémoire sur diverses formules d'analyse
-
Cauchy A.L. Mémoire sur diverses formules d'analyse. C. R. Acad. Sci. Paris 12 (1841) 283-298
-
(1841)
C. R. Acad. Sci. Paris
, vol.12
, pp. 283-298
-
-
Cauchy, A.L.1
-
33
-
-
34247504968
-
Méthode pour développer des fonctions d'une ou plusieurs variables en séries composées de fonctions de même espèce
-
Gauthier-Villars, Paris
-
Cauchy A.L. Méthode pour développer des fonctions d'une ou plusieurs variables en séries composées de fonctions de même espèce. Oeuvres de Cauchy, série II, tome VII (1893), Gauthier-Villars, Paris 366-392
-
(1893)
Oeuvres de Cauchy, série II, tome VII
, pp. 366-392
-
-
Cauchy, A.L.1
-
34
-
-
5644238491
-
Bimeasures and sampling theorems for weakly harmonizable processes
-
Chang D.K., and Rao M.M. Bimeasures and sampling theorems for weakly harmonizable processes. Stochastic Anal. Appl. 1 (1983) 21-55
-
(1983)
Stochastic Anal. Appl.
, vol.1
, pp. 21-55
-
-
Chang, D.K.1
Rao, M.M.2
-
36
-
-
0003833285
-
-
Soc. for Industr. & Appl. Math., Philadelphia
-
Daubechies I. Ten Lectures on Wavelets (1992), Soc. for Industr. & Appl. Math., Philadelphia
-
(1992)
Ten Lectures on Wavelets
-
-
Daubechies, I.1
-
37
-
-
0000430630
-
Some properties of functions of exponential type
-
Duffin R., and Schaeffer A. Some properties of functions of exponential type. Bull. Am. Math. Soc. 44 (1938) 236-240
-
(1938)
Bull. Am. Math. Soc.
, vol.44
, pp. 236-240
-
-
Duffin, R.1
Schaeffer, A.2
-
38
-
-
84968468760
-
A class of nonharmonic Fourier series
-
Duffin R., and Schaeffer A. A class of nonharmonic Fourier series. Trans. Am. Math. Soc. 72 (1952) 341-366
-
(1952)
Trans. Am. Math. Soc.
, vol.72
, pp. 341-366
-
-
Duffin, R.1
Schaeffer, A.2
-
40
-
-
0002375729
-
Interpolation and sampling theories, and linear ordinary boundary value problems
-
Higgins J.R., and Stens R.L. (Eds), Oxford Univ. Press, Oxford
-
Everitt W.N., and Nasri-Roudsari G. Interpolation and sampling theories, and linear ordinary boundary value problems. In: Higgins J.R., and Stens R.L. (Eds). Sampling Theory in Fourier and Signal Analysis: Advanced Topics Chap. 5 (1999), Oxford Univ. Press, Oxford
-
(1999)
Sampling Theory in Fourier and Signal Analysis: Advanced Topics
, vol.Chap. 5
-
-
Everitt, W.N.1
Nasri-Roudsari, G.2
-
41
-
-
0000338940
-
Irregular sampling theorems and series expansions of band-limited functions
-
Feichtinger H.G., and Gröchenig K. Irregular sampling theorems and series expansions of band-limited functions. J. Math. Anal. Appl. 167 (1992) 530-556
-
(1992)
J. Math. Anal. Appl.
, vol.167
, pp. 530-556
-
-
Feichtinger, H.G.1
Gröchenig, K.2
-
42
-
-
0000979681
-
Iterative reconstruction of multivariate band-limited functions from irregular sampling values
-
Feichtinger H.G., and Gröchenig K. Iterative reconstruction of multivariate band-limited functions from irregular sampling values. SIAM J. Math. Anal. 23 (1992) 244-261
-
(1992)
SIAM J. Math. Anal.
, vol.23
, pp. 244-261
-
-
Feichtinger, H.G.1
Gröchenig, K.2
-
43
-
-
0011367688
-
Error analysis in regular and irregular sampling theory
-
Feichtinger H.G., and Gröchenig K. Error analysis in regular and irregular sampling theory. Appl. Anal. 50 (1993) 167-189
-
(1993)
Appl. Anal.
, vol.50
, pp. 167-189
-
-
Feichtinger, H.G.1
Gröchenig, K.2
-
44
-
-
0000548718
-
Theory and practice of irregular sampling
-
Benedetto J.J., and Frazier M.W. (Eds), CRC Press, Boca Raton, FL
-
Feichtinger H.G., and Gröchenig K. Theory and practice of irregular sampling. In: Benedetto J.J., and Frazier M.W. (Eds). Wavelets: Mathematics and Applications Chap. 8 (1994), CRC Press, Boca Raton, FL
-
(1994)
Wavelets: Mathematics and Applications
, vol.Chap. 8
-
-
Feichtinger, H.G.1
Gröchenig, K.2
-
45
-
-
21844510105
-
Efficient numerical methods in non-uniform sampling theory
-
Feichtinger H.G., Gröchenig K., and Strohmer T. Efficient numerical methods in non-uniform sampling theory. Num. Math. 69 (1995) 423-440
-
(1995)
Num. Math.
, vol.69
, pp. 423-440
-
-
Feichtinger, H.G.1
Gröchenig, K.2
Strohmer, T.3
-
46
-
-
33646889622
-
On the cardinal function of interpolation theory
-
Ferrar W.L. On the cardinal function of interpolation theory. Proc. R. Soc. Edinb. 46 (1926) 323-333
-
(1926)
Proc. R. Soc. Edinb.
, vol.46
, pp. 323-333
-
-
Ferrar, W.L.1
-
47
-
-
0034268765
-
Orthogonal sampling formulas: A unified approach
-
García A.G. Orthogonal sampling formulas: A unified approach. SIAM Rev. 42 3 (2000) 499-512
-
(2000)
SIAM Rev.
, vol.42
, Issue.3
, pp. 499-512
-
-
García, A.G.1
-
48
-
-
0035449846
-
The discrete Kramer sampling theorem and indeterminate moment problems
-
García A.G., and Hernández-Medina M.A. The discrete Kramer sampling theorem and indeterminate moment problems. J. Comp. Appl. Math. 134 (2001) 13-22
-
(2001)
J. Comp. Appl. Math.
, vol.134
, pp. 13-22
-
-
García, A.G.1
Hernández-Medina, M.A.2
-
50
-
-
34247524494
-
On sampling stationary stochastic processes
-
García A.G., and Muñoz-Bouzo M.J. On sampling stationary stochastic processes. Appl. Anal. 75 1-2 (2000) 73-84
-
(2000)
Appl. Anal.
, vol.75
, Issue.1-2
, pp. 73-84
-
-
García, A.G.1
Muñoz-Bouzo, M.J.2
-
51
-
-
34247549120
-
Sampling generalized stationary processes
-
Zayed A.I. (Ed). Orlando, May 2001, Univ. of Central Florida, Orlando
-
García A.G., and Muñoz-Bouzo M.J. Sampling generalized stationary processes. In: Zayed A.I. (Ed). SAMPTA 2001. Orlando, May 2001 (2001), Univ. of Central Florida, Orlando 107-110
-
(2001)
SAMPTA 2001
, pp. 107-110
-
-
García, A.G.1
Muñoz-Bouzo, M.J.2
-
55
-
-
84966222310
-
Reconstruction algorithms in irregular sampling
-
Gröchenig K. Reconstruction algorithms in irregular sampling. Math. Comput. 59 (1992) 181-194
-
(1992)
Math. Comput.
, vol.59
, pp. 181-194
-
-
Gröchenig, K.1
-
56
-
-
0027815286
-
Acceleration of the frame algorithm
-
Gröchenig K. Acceleration of the frame algorithm. IEEE Trans. Signal Processing 41 (1993) 3331-3340
-
(1993)
IEEE Trans. Signal Processing
, vol.41
, pp. 3331-3340
-
-
Gröchenig, K.1
-
57
-
-
38248999298
-
A discrete theory of irregular sampling
-
Gröchenig K. A discrete theory of irregular sampling. Linear Algebra Appl. 193 (1993) 129-150
-
(1993)
Linear Algebra Appl.
, vol.193
, pp. 129-150
-
-
Gröchenig, K.1
-
58
-
-
0039527356
-
Irregular sampling, Toeplitz matrices, and the approximation of exponential functions of exponential type
-
Gröchenig K. Irregular sampling, Toeplitz matrices, and the approximation of exponential functions of exponential type. Math. Comput. 68 (1999) 749-765
-
(1999)
Math. Comput.
, vol.68
, pp. 749-765
-
-
Gröchenig, K.1
-
60
-
-
0039609461
-
Notes on special systems of orthogonal functions, IV: The orthogonal functions of Whittaker's cardinal
-
Hardy G.H. Notes on special systems of orthogonal functions, IV: The orthogonal functions of Whittaker's cardinal. Proc. Camb. Philos. Soc. 37 (1941) 331-348
-
(1941)
Proc. Camb. Philos. Soc.
, vol.37
, pp. 331-348
-
-
Hardy, G.H.1
-
61
-
-
16244414279
-
An interpolation series associated with the Bessel-Hankel transform
-
Higgins J.R. An interpolation series associated with the Bessel-Hankel transform. J. Lond. Math. Soc. 5 (1972) 707-714
-
(1972)
J. Lond. Math. Soc.
, vol.5
, pp. 707-714
-
-
Higgins, J.R.1
-
62
-
-
84968515233
-
Five short stories about cardinal series
-
Higgins J.R. Five short stories about cardinal series. Bull. Am. Math. Soc. 12 (1985) 45-89
-
(1985)
Bull. Am. Math. Soc.
, vol.12
, pp. 45-89
-
-
Higgins, J.R.1
-
64
-
-
34247473764
-
Derivative sampling-A paradigm example of multichannel methods
-
Higgins J.R., and Stens R.L. (Eds), Oxford Univ. Press, Oxford
-
Higgins J.R. Derivative sampling-A paradigm example of multichannel methods. In: Higgins J.R., and Stens R.L. (Eds). Sampling Theory in Fourier and Signal Analysis: Advanced Topics Chap. 3 (1999), Oxford Univ. Press, Oxford
-
(1999)
Sampling Theory in Fourier and Signal Analysis: Advanced Topics
, vol.Chap. 3
-
-
Higgins, J.R.1
-
65
-
-
0345734850
-
The sampling theorem and several equivalent results in analysis
-
Higgins J.R., Schmeisser G., and Voss J.J. The sampling theorem and several equivalent results in analysis. J. Comp. Anal. Appl. 2 (2000) 333-371
-
(2000)
J. Comp. Anal. Appl.
, vol.2
, pp. 333-371
-
-
Higgins, J.R.1
Schmeisser, G.2
Voss, J.J.3
-
67
-
-
0021446572
-
Sampling expansions for functions band-limited in the distributional sense
-
Hoskins R.F., and De Sousa Pinto J. Sampling expansions for functions band-limited in the distributional sense. SIAM J. Appl. Math. 44 (1984) 605-610
-
(1984)
SIAM J. Appl. Math.
, vol.44
, pp. 605-610
-
-
Hoskins, R.F.1
De Sousa Pinto, J.2
-
69
-
-
0017558676
-
The Shannon sampling theorem and its various extensions and applications: A tutorial review
-
Jerri A. The Shannon sampling theorem and its various extensions and applications: A tutorial review. Proc. IEEE 68 11 (1977) 1565-1596
-
(1977)
Proc. IEEE
, vol.68
, Issue.11
, pp. 1565-1596
-
-
Jerri, A.1
-
71
-
-
0012713238
-
-
(in Russian)
-
(in Russian). Kotel'nikov V. On the carrying capacity of the "ether" and wire in telecommunications, Material for the first All-Union Conference on Questions of Communications. Izd. Red. Upr. Svyazy RKKA (1933)
-
(1933)
Izd. Red. Upr. Svyazy RKKA
-
-
Kotel'nikov, V.1
-
72
-
-
0002237684
-
A generalized sampling theorem
-
Kramer H.P. A generalized sampling theorem. J. Math. Phys. 63 (1957) 68-72
-
(1957)
J. Math. Phys.
, vol.63
, pp. 68-72
-
-
Kramer, H.P.1
-
73
-
-
33745729674
-
La formule d'echantillonnage et A. L. Cauchy
-
Lacaze B. La formule d'echantillonnage et A. L. Cauchy. Traitement du Signal 15 4 (1998) 289-295
-
(1998)
Traitement du Signal
, vol.15
, Issue.4
, pp. 289-295
-
-
Lacaze, B.1
-
74
-
-
0002884848
-
Necessary density conditions for sampling and interpolation of certain entire functions
-
Landau H.L. Necessary density conditions for sampling and interpolation of certain entire functions. Acta Math. 117 (1967) 37-52
-
(1967)
Acta Math.
, vol.117
, pp. 37-52
-
-
Landau, H.L.1
-
75
-
-
84932847861
-
Sampling data transmission and the Nyquist rate
-
Landau H.L. Sampling data transmission and the Nyquist rate. Proc. IEEE 55 (1967) 1701-1706
-
(1967)
Proc. IEEE
, vol.55
, pp. 1701-1706
-
-
Landau, H.L.1
-
76
-
-
0010121673
-
An overview of time and frequency limiting
-
Price J.F. (Ed), Plenum, New York
-
Landau H.J. An overview of time and frequency limiting. In: Price J.F. (Ed). Fourier Techniques and Applications (1985), Plenum, New York
-
(1985)
Fourier Techniques and Applications
-
-
Landau, H.J.1
-
77
-
-
0347766979
-
Characterization of band-limited functions and proceses
-
Lee A.J. Characterization of band-limited functions and proceses. Inf. Control 31 (1976) 258-271
-
(1976)
Inf. Control
, vol.31
, pp. 258-271
-
-
Lee, A.J.1
-
79
-
-
0001904342
-
A sampling theorem for stationary (wide sense) stochastic processes
-
Lloyd S.P. A sampling theorem for stationary (wide sense) stochastic processes. Trans. Am. Math. Soc. 44 (1959) 1-12
-
(1959)
Trans. Am. Math. Soc.
, vol.44
, pp. 1-12
-
-
Lloyd, S.P.1
-
88
-
-
77958407025
-
The fractional order Fourier and its application to quantum mechanics
-
Namias V. The fractional order Fourier and its application to quantum mechanics. J. Inst. Math. Appl. 25 (1980) 241-265
-
(1980)
J. Inst. Math. Appl.
, vol.25
, pp. 241-265
-
-
Namias, V.1
-
89
-
-
0025842349
-
General sampling theorems in reproducing kernel Hilbert spaces
-
Nashed M.Z., and Walter G.G. General sampling theorems in reproducing kernel Hilbert spaces. Math. Control Signals Syst. 4 (1991) 373-412
-
(1991)
Math. Control Signals Syst.
, vol.4
, pp. 373-412
-
-
Nashed, M.Z.1
Walter, G.G.2
-
91
-
-
79957590676
-
Certain topics in telegraph tranmission theory
-
Nyquist H. Certain topics in telegraph tranmission theory. AIEE Trans. 47 (1928) 617-644
-
(1928)
AIEE Trans.
, vol.47
, pp. 617-644
-
-
Nyquist, H.1
-
92
-
-
33646879276
-
On a certain transcendental integral function in the theory of interpolation
-
Ogura K. On a certain transcendental integral function in the theory of interpolation. Tôhoku Math. J. 17 (1920) 64-72
-
(1920)
Tôhoku Math. J.
, vol.17
, pp. 64-72
-
-
Ogura, K.1
-
93
-
-
0027641018
-
Fourier transforms of fractional order and their optical interpretation
-
Ozaktas H.M., and Mendlovic D. Fourier transforms of fractional order and their optical interpretation. Optics Commun. 101 (1993) 163-169
-
(1993)
Optics Commun.
, vol.101
, pp. 163-169
-
-
Ozaktas, H.M.1
Mendlovic, D.2
-
96
-
-
0017554734
-
Generalized sampling expansion
-
Papoulis A. Generalized sampling expansion. IEEE Trans. Circuits Syst. 24 (1977) 652-654
-
(1977)
IEEE Trans. Circuits Syst.
, vol.24
, pp. 652-654
-
-
Papoulis, A.1
-
99
-
-
0001064565
-
Basicity of an exponential system and Muckenhoupt's condition
-
Pavlov B.S. Basicity of an exponential system and Muckenhoupt's condition. Math. Dokl. 20 (1979) 655-659
-
(1979)
Math. Dokl.
, vol.20
, pp. 655-659
-
-
Pavlov, B.S.1
-
100
-
-
0005729849
-
On the problem of interpolation of random processes
-
Piranashvili Z.A. On the problem of interpolation of random processes. Theor. Probl. Appl. 7 (1967) 647-657
-
(1967)
Theor. Probl. Appl.
, vol.7
, pp. 647-657
-
-
Piranashvili, Z.A.1
-
101
-
-
0030081231
-
Reproducing kernels and the use of root loci of specific functions in the recovery of signals from nonuniform samples
-
Plotkin E.I., Romero J., and Swamy M.N.S. Reproducing kernels and the use of root loci of specific functions in the recovery of signals from nonuniform samples. Signal Processing 49 (1996) 11-23
-
(1996)
Signal Processing
, vol.49
, pp. 11-23
-
-
Plotkin, E.I.1
Romero, J.2
Swamy, M.N.S.3
-
102
-
-
0348062701
-
The summation formulae of Poisson, Plana, Euler-MacLaurin and their relationship
-
Rachman Q.I., and Schmeisser G. The summation formulae of Poisson, Plana, Euler-MacLaurin and their relationship. J. Math. Sci. 28 (1994) 151-171
-
(1994)
J. Math. Sci.
, vol.28
, pp. 151-171
-
-
Rachman, Q.I.1
Schmeisser, G.2
-
104
-
-
0000291780
-
Harmonizable processes: Structure theory
-
Rao M.M. Harmonizable processes: Structure theory. Enseign. Math. 28 no. 3-4 (1982) 295-351
-
(1982)
Enseign. Math.
, vol.28
, Issue.3-4
, pp. 295-351
-
-
Rao, M.M.1
-
105
-
-
0024769433
-
A stable nonuniform sampling expansion involving derivatives
-
Rawn M.D. A stable nonuniform sampling expansion involving derivatives. IEEE Trans. Inf. Theory 35 (1989) 1223-1227
-
(1989)
IEEE Trans. Inf. Theory
, vol.35
, pp. 1223-1227
-
-
Rawn, M.D.1
-
110
-
-
0023425008
-
An irregular sampling theorem for functions bandlimited in a generalized sense
-
Seip K. An irregular sampling theorem for functions bandlimited in a generalized sense. SIAM J. Appl. Math. 47 (1987) 1112-1116
-
(1987)
SIAM J. Appl. Math.
, vol.47
, pp. 1112-1116
-
-
Seip, K.1
-
111
-
-
0001454791
-
2(-π, π)
-
2(-π, π). J. Funct. Anal. 130 (1995) 131-160
-
(1995)
J. Funct. Anal.
, vol.130
, pp. 131-160
-
-
Seip, K.1
-
112
-
-
84911837213
-
Communication in the presence of noise
-
Shannon C.E. Communication in the presence of noise. Proc. IRE 137 (1949) 10-21
-
(1949)
Proc. IRE
, vol.137
, pp. 10-21
-
-
Shannon, C.E.1
-
113
-
-
0016927066
-
On bandwidth
-
Slepian D. On bandwidth. Proc. IEEE 64 (1976) 292-300
-
(1976)
Proc. IEEE
, vol.64
, pp. 292-300
-
-
Slepian, D.1
-
114
-
-
0020786063
-
Some comments on Fourier analysis, uncertainty and modelling
-
Slepian D. Some comments on Fourier analysis, uncertainty and modelling. SIAM Rev. 28 (1983) 389-393
-
(1983)
SIAM Rev.
, vol.28
, pp. 389-393
-
-
Slepian, D.1
-
115
-
-
84939751170
-
Prolate spheroidal wave functions, Fourier analysis and uncertainty
-
Slepian D., and Pollak H.O. Prolate spheroidal wave functions, Fourier analysis and uncertainty. Bell Syst. Tech. J. 40 (1961) 43-64
-
(1961)
Bell Syst. Tech. J.
, vol.40
, pp. 43-64
-
-
Slepian, D.1
Pollak, H.O.2
-
117
-
-
13544266127
-
Polar, spiral, and generalized sampling and interpolation
-
Marks II R.J. (Ed), Springer-Verlag, New York
-
Stark H. Polar, spiral, and generalized sampling and interpolation. In: Marks II R.J. (Ed). Advanced Topics in Shannon Sampling and Interpolation Theory Chap. 6 (1992), Springer-Verlag, New York
-
(1992)
Advanced Topics in Shannon Sampling and Interpolation Theory
, vol.Chap. 6
-
-
Stark, H.1
-
118
-
-
0020718095
-
A unified approach to sampling theorems for derivatives and Hilbert transforms
-
Stens R.L. A unified approach to sampling theorems for derivatives and Hilbert transforms. Signal Processing 5 (1983) 139-151
-
(1983)
Signal Processing
, vol.5
, pp. 139-151
-
-
Stens, R.L.1
-
120
-
-
0004073954
-
-
Am. Math Soc., Providence, RI
-
Szegö G. Orthogonal Polynomials Vol. 23 (1991), Am. Math Soc., Providence, RI
-
(1991)
Orthogonal Polynomials
, vol.23
-
-
Szegö, G.1
-
121
-
-
84960569555
-
The zeros of certain integral functions
-
Titchmarsh E.C. The zeros of certain integral functions. Proc. Lond. Math. Soc. 26 (1926) 283-302
-
(1926)
Proc. Lond. Math. Soc.
, vol.26
, pp. 283-302
-
-
Titchmarsh, E.C.1
-
122
-
-
0034171723
-
Sampling-50 years after Shannon
-
Unser M. Sampling-50 years after Shannon. Proc. IEEE 88 4 (2000) 569-587
-
(2000)
Proc. IEEE
, vol.88
, Issue.4
, pp. 569-587
-
-
Unser, M.1
-
123
-
-
21844518988
-
Oscillatory properties of Paley-Wiener functions
-
Walker W.J. Oscillatory properties of Paley-Wiener functions. Indian J. Pure Appl. Math. 25 (1994) 1253-1258
-
(1994)
Indian J. Pure Appl. Math.
, vol.25
, pp. 1253-1258
-
-
Walker, W.J.1
-
124
-
-
0347588833
-
Sampling bandlimited functions of polynomial growth
-
Walter G.G. Sampling bandlimited functions of polynomial growth. SIAM J. Math. Anal. 19 (1988) 1198-1203
-
(1988)
SIAM J. Math. Anal.
, vol.19
, pp. 1198-1203
-
-
Walter, G.G.1
-
127
-
-
0001693842
-
On the functions which are represented by the expansion on the interpolation theory
-
Whittaker E.T. On the functions which are represented by the expansion on the interpolation theory. Proc. R. Soc. Edinb. A 35 (1915) 181-194
-
(1915)
Proc. R. Soc. Edinb. A
, vol.35
, pp. 181-194
-
-
Whittaker, E.T.1
-
129
-
-
0030107597
-
On bandlimited signals with fractional Fourier transform
-
Xia X. On bandlimited signals with fractional Fourier transform. IEEE Signal Processing Lett. 3 3 (1996) 72-74
-
(1996)
IEEE Signal Processing Lett.
, vol.3
, Issue.3
, pp. 72-74
-
-
Xia, X.1
-
130
-
-
0000687222
-
Applications of reproducing kernel Hilbert spaces-Bandlimited signal models
-
Yao K. Applications of reproducing kernel Hilbert spaces-Bandlimited signal models. Inf. Control 11 (1967) 429-444
-
(1967)
Inf. Control
, vol.11
, pp. 429-444
-
-
Yao, K.1
-
132
-
-
0005721148
-
Band-limited functions and sampling theorem
-
Zakai M. Band-limited functions and sampling theorem. Inf. Control 8 (1965) 143-158
-
(1965)
Inf. Control
, vol.8
, pp. 143-158
-
-
Zakai, M.1
-
133
-
-
0026141901
-
On Kramer sampling theorem associated with general Sturm-Liouville problems and Lagrange interpolation
-
Zayed A.I. On Kramer sampling theorem associated with general Sturm-Liouville problems and Lagrange interpolation. SIAM J. Appl. Math. 51 (1991) 575-604
-
(1991)
SIAM J. Appl. Math.
, vol.51
, pp. 575-604
-
-
Zayed, A.I.1
-
136
-
-
84951599257
-
A generalized sampling theorem with the inverse of an arbitrary square summable sequence as sampling points
-
Zayed A.I. A generalized sampling theorem with the inverse of an arbitrary square summable sequence as sampling points. J. Fourier Anal. Appl. 2 3 (1996) 303-314
-
(1996)
J. Fourier Anal. Appl.
, vol.2
, Issue.3
, pp. 303-314
-
-
Zayed, A.I.1
-
137
-
-
0030413251
-
On the relationship between the Fourier and fractional Fourier transform
-
Zayed A.I. On the relationship between the Fourier and fractional Fourier transform. IEEE Signal Processing Lett. 5 (1996) 310-311
-
(1996)
IEEE Signal Processing Lett.
, vol.5
, pp. 310-311
-
-
Zayed, A.I.1
-
138
-
-
0032047886
-
A convolution and product theorem for the fractional Fourier transform
-
Zayed A.I. A convolution and product theorem for the fractional Fourier transform. IEEE Signal Processing Lett. 5 4 (1998) 101-103
-
(1998)
IEEE Signal Processing Lett.
, vol.5
, Issue.4
, pp. 101-103
-
-
Zayed, A.I.1
-
139
-
-
0032138891
-
Hilbert transform associated with the fractional Fourier transform
-
Zayed A.I. Hilbert transform associated with the fractional Fourier transform. IEEE Signal Processing Lett. 5 8 (1998) 206-208
-
(1998)
IEEE Signal Processing Lett.
, vol.5
, Issue.8
, pp. 206-208
-
-
Zayed, A.I.1
-
140
-
-
0033177623
-
New sampling formulae for the fractional Fourier transform
-
Zayed A.I., and García A.G. New sampling formulae for the fractional Fourier transform. Signal Processing 77 (1999) 111-114
-
(1999)
Signal Processing
, vol.77
, pp. 111-114
-
-
Zayed, A.I.1
García, A.G.2
-
141
-
-
0025449055
-
On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems
-
Zayed A.I., Hinsen G., and Butzer P.L. On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems. SIAM J. Appl. Math. 50 (1990) 893-909
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 893-909
-
-
Zayed, A.I.1
Hinsen, G.2
Butzer, P.L.3
-
142
-
-
84953751498
-
-
Cambridge Univ. Press, Cambridge, UK
-
Zygmund A. Trigonometric Series (1957), Cambridge Univ. Press, Cambridge, UK
-
(1957)
Trigonometric Series
-
-
Zygmund, A.1
|