-
1
-
-
0009624216
-
A note on the sampling principle for continuous signals
-
A. V. Balakrishnan (1957), A note on the sampling principle for continuous signals, IRE Trans. Inform. Theory IT-3, 143–146.
-
(1957)
IRE Trans. Inform. Theory
, vol.IT-3
, pp. 143-146
-
-
Balakrishnan, A.V.1
-
2
-
-
84865025366
-
Light-scattering in homogeneous media regarded as reflexion from appropriate thermal elastic wave
-
A. B. Bhatia and K. S. Krishnan (1948), Light-scattering in homogeneous media regarded as reflexion from appropriate thermal elastic wave, Proc. Roy. Soc. London Ser. A 192, 181–194.
-
(1948)
Proc. Roy. Soc. London Ser. A
, vol.192
, pp. 181-194
-
-
Bhatia, A.B.1
Krishnan, K.S.2
-
3
-
-
17944386712
-
Digital typography
-
C. Bigelow and D. Day (1983), Digital typography, Scientific American (2) 249, 94–105.
-
(1983)
Scientific American
, vol.249
, Issue.2
, pp. 94-105
-
-
Bigelow, C.1
Day, D.2
-
4
-
-
0004261798
-
-
van Nostrand, Princeton, N. J
-
H. S. Black (1953), Modulation theory, van Nostrand, Princeton, N. J.
-
(1953)
Modulation Theory
-
-
Black, H.S.1
-
5
-
-
0016070943
-
Sampling theorem and the number of degrees of freedom of an image
-
V. Blažek (1974), Sampling theorem and the number of degrees of freedom of an image, Optics Comm. 11, 144–147.
-
(1974)
Optics Comm.
, vol.11
, pp. 144-147
-
-
Blažek, V.1
-
6
-
-
0016956120
-
Optical information processing by the Fabry-Perot resonator
-
—— (1976), Optical information processing by the Fabry-Perot resonator, Optical Quantum Electronics 8, 237–240.
-
(1976)
Optical Quantum Electronics
, vol.8
, pp. 237-240
-
-
Blažek, V.1
-
7
-
-
0004032164
-
-
Academic Press, New York
-
R. P. Boas, Jr. (1954), Entire functions, Academic Press, New York.
-
(1954)
Entire Functions
-
-
Boas, R.P.1
-
8
-
-
84972502044
-
Summation formulas and band-limited signals
-
—— (1972), Summation formulas and band-limited signals, Tôhoku Math. J. 24, 121–125.
-
(1972)
Tôhoku Math. J.
, vol.24
, pp. 121-125
-
-
Boas, R.P.1
-
9
-
-
5644229395
-
Continuous analogs of series
-
R. P. Boas, Jr. and H. Pollard (1973), Continuous analogs of series, Amer. Math. Monthly 80, 18–25.
-
(1973)
Amer. Math. Monthly
, vol.80
, pp. 18-25
-
-
Boas, R.P.1
Pollard, H.2
-
10
-
-
84915440675
-
On sampling the zeros of bandwidth limited signals
-
F. E. Bond and C. R. Cahn (1958), On sampling the zeros of bandwidth limited signals, IRE Trans. Inform. Theory IT-4, 110–113.
-
(1958)
IRE Trans. Inform. Theory
, vol.IT-4
, pp. 110-113
-
-
Bond, F.E.1
Cahn, C.R.2
-
11
-
-
33646880896
-
Sur l’interpolation
-
E. Borel (1897), Sur l’interpolation, C. R. Acad. Sci. Paris 124, 673–676.
-
(1897)
C. R. Acad. Sci. Paris
, vol.124
, pp. 673-676
-
-
Borel, E.1
-
12
-
-
84968493123
-
Sur la recherche des singularités d’une fonction définie par un développement de Taylor
-
—— (1898), Sur la recherche des singularités d’une fonction définie par un développement de Taylor, C. R. Acad. Sci. Paris 127, 1001–1003.
-
(1898)
C. R. Acad. Sci. Paris
, vol.127
, pp. 1001-1003
-
-
Borel, E.1
-
13
-
-
0039292587
-
Mémoire sur les séries divergentes
-
—— (1899), Mémoire sur les séries divergentes, Ann. École Norm. Sup. (3) 16, 9–131.
-
(1899)
Ann. École Norm. Sup.
, vol.16
, Issue.3
, pp. 9-131
-
-
Borel, E.1
-
14
-
-
0002900223
-
On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
-
J. L. Brown, Jr. (1967), On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem, J. Math. Anal. Appl. 18, 75–84
-
(1967)
J. Math. Anal. Appl.
, vol.18
, pp. 75-84
-
-
Brown, J.L.1
-
16
-
-
0019058669
-
First order sampling of bandpass signals—a new approach
-
—— (1980), First order sampling of bandpass signals—a new approach, IEEE Trans. Inform. Theory IT-26, 613–615.
-
(1980)
IEEE Trans. Inform. Theory
, vol.IT-26
, pp. 613-615
-
-
Brown, J.L.1
-
17
-
-
0019530054
-
Multi-channel sampling of low-pass signals
-
—— (1981), Multi-channel sampling of low-pass signals, IEEE Trans. Circuits and Systems CAS-28, 101–106.
-
(1981)
IEEE Trans. Circuits and Systems
, vol.CAS-28
, pp. 101-106
-
-
Brown, J.L.1
-
19
-
-
84968483268
-
Trigonometrische Interpolation
-
IIA9aTeubner, Leipzig
-
H. Burkhardt (1899–1916), Trigonometrische Interpolation, Enzyklopädie Math. Wiss. IIA9a, Teubner, Leipzig.
-
(1899)
Enzyklopädie Math. Wiss.
-
-
Burkhardt, H.1
-
20
-
-
0001114755
-
A survey of the Whittaker–Shannon sampling theorem and some of its extensions
-
P. L. Butzer (1983), A survey of the Whittaker–Shannon sampling theorem and some of its extensions, J. Math. Res. Exposition 3, 185–212.
-
(1983)
J. Math. Res. Exposition
, vol.3
, pp. 185-212
-
-
Butzer, P.L.1
-
21
-
-
0020097421
-
Dyadic calculus and sampling theorems for functions with multi-dimensional domain. I, II
-
P. L. Butzer and W. Engels (1982), Dyadic calculus and sampling theorems for functions with multi-dimensional domain. I, II, Inform, and Control 52, 333–363.
-
(1982)
Inform, and Control
, vol.52
, pp. 333-363
-
-
Butzer, P.L.1
Engels, W.2
-
24
-
-
0042888830
-
The Euler–MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis
-
P. L. Butzer and R. Stens (1983), The Euler–MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis, Linear Algebra Appl. 52/53, 141–155.
-
(1983)
Linear Algebra Appl.
, vol.52-53
, pp. 141-155
-
-
Butzer, P.L.1
Stens, R.2
-
25
-
-
0001152466
-
Sampling theorem for the Fourier transform of a distribution with bounded support
-
L. L. Campbell (1968), Sampling theorem for the Fourier transform of a distribution with bounded support, SIAM J. Appl. Math. 16, 626–636.
-
(1968)
SIAM J. Appl. Math.
, vol.16
, pp. 626-636
-
-
Campbell, L.L.1
-
26
-
-
0011599880
-
On certain integral functions of order one
-
M. L. Cartwright (1936), On certain integral functions of order one, Quart. J. Math. Oxford Ser. 7, 46–55.
-
(1936)
Quart. J. Math. Oxford Ser.
, vol.7
, pp. 46-55
-
-
Cartwright, M.L.1
-
27
-
-
0347432129
-
Mémoire sur diverses formules d’analyse
-
A. L. Cauchy (1841), Mémoire sur diverses formules d’analyse, C. R. Acad. Sci. Paris 12, 283–298.
-
(1841)
C. R. Acad. Sci. Paris
, vol.12
, pp. 283-298
-
-
Cauchy, A.L.1
-
28
-
-
84951612684
-
Esspressione di funzioni intere che in posti dati arbitrariamente prendono valori prestabiliti
-
P. Cazzaniga (1882), Esspressione di funzioni intere che in posti dati arbitrariamente prendono valori prestabiliti, Ann. Mat. Pura Appl. (2) 10, 278–290.
-
(1882)
Ann. Mat. Pura Appl.
, vol.10
, Issue.2
, pp. 278-290
-
-
Cazzaniga, P.1
-
29
-
-
0015627686
-
Walsh transform of sampled time functions and the sampling principle
-
D. K. Cheng and D. L. Johnson (1973), Walsh transform of sampled time functions and the sampling principle, Proc. IEEE 61, 674–675.
-
(1973)
Proc. IEEE
, vol.61
, pp. 674-675
-
-
Cheng, D.K.1
Johnson, D.L.2
-
30
-
-
84966261604
-
Extensions of Hardy spaces and their use in analysis
-
R. R. Coifman and G. Weiss (1977), Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83, 569–645.
-
(1977)
Bull. Amer. Math. Soc.
, vol.83
, pp. 569-645
-
-
Coifman, R.R.1
Weiss, G.2
-
31
-
-
33646865577
-
On the cardinal function of interpolation-theory
-
W. L. Ferrar (1925), On the cardinal function of interpolation-theory, Proc. Roy. Soc. Edinburgh 45, 267–282.
-
(1925)
Proc. Roy. Soc. Edinburgh
, vol.45
, pp. 267-282
-
-
Ferrar, W.L.1
-
32
-
-
33646889622
-
On the cardinal function of interpolation-theory
-
—— (1926), On the cardinal function of interpolation-theory, Proc. Roy. Soc. Edinburgh 46, 323–333.
-
(1926)
Proc. Roy. Soc. Edinburgh
, vol.46
, pp. 323-333
-
-
Ferrar, W.L.1
-
33
-
-
33746168795
-
A note on the sampling theorem
-
L. J. Fogel (1955), A note on the sampling theorem, IRE Trans. Inform. Theory 1, 47–48.
-
(1955)
IRE Trans. Inform. Theory
, vol.1
, pp. 47-48
-
-
Fogel, L.J.1
-
34
-
-
0003585251
-
-
Band 8, Königl. Gesellschaft Wiss. Gottingen, Teubner, Leipzig
-
C. F. Gauss (1900), Carl Friedrich Gauss Werke, Band 8, Königl. Gesellschaft Wiss. Gottingen, Teubner, Leipzig.
-
(1900)
Carl Friedrich Gauss Werke
-
-
Gauss, C.F.1
-
36
-
-
84968509146
-
The analytic representation of bandpass signals
-
E. A. Gonzáles-Velasco and E. Sanvicente (1980), The analytic representation of bandpass signals, J. Franklin Inst. 310, 135–142.
-
(1980)
J. Franklin Inst.
, vol.310
, pp. 135-142
-
-
Gonzáles-Velasco, E.A.1
Sanvicente, E.2
-
37
-
-
0011557189
-
ptheory of cardinal series
-
ptheory of cardinal series, Ann. of Math. (2) 78, 567–581.
-
(1963)
Ann. of Math.
, vol.78
, Issue.2
, pp. 567-581
-
-
Gosselin, R.P.1
-
38
-
-
84935251884
-
Singular integrals and cardinal series
-
—— (1972), Singular integrals and cardinal series, Studia Math. 44, 39–45.
-
(1972)
Studia Math.
, vol.44
, pp. 39-45
-
-
Gosselin, R.P.1
-
39
-
-
84968506072
-
Sur les fonctions entières
-
M. Guichard (1884), Sur les fonctions entières, Ann, Sci. École Norm. Sup. (3) 1, 427–432.
-
(1884)
Ann, Sci. École Norm. Sup.
, vol.1
, Issue.3
, pp. 427-432
-
-
Guichard, M.1
-
40
-
-
84986987022
-
La série de Taylor et son prolongement analytique
-
J. Hadamard (1901), La série de Taylor et son prolongement analytique, Scientia 12, 1–100.
-
(1901)
Scientia
, vol.12
, pp. 1-100
-
-
Hadamard, J.1
-
41
-
-
0038114883
-
General methods for the derivation of sampling theorems
-
A. H. Haddad, K. Yao and J. B. Thomas (1967), General methods for the derivation of sampling theorems, IEEE Trans. Inform. Theory IT-13, 227–230.
-
(1967)
IEEE Trans. Inform. Theory
, vol.IT-13
, pp. 227-230
-
-
Haddad, A.H.1
Yao, K.2
Thomas, J.B.3
-
42
-
-
0039609461
-
Notes on special systems of orthogonal functions. IV: The orthogonal functions of Whittaker’s cardinal series
-
G. H. Hardy (1941), Notes on special systems of orthogonal functions. IV: The orthogonal functions of Whittaker’s cardinal series, Proc. Cambridge Philos. Soc. 37, 331–348.
-
(1941)
Proc. Cambridge Philos. Soc.
, vol.37
, pp. 331-348
-
-
Hardy, G.H.1
-
43
-
-
16244414279
-
An interpolation series associated with the Bessel–Hankel transform
-
J. R. Higgins (1972), An interpolation series associated with the Bessel–Hankel transform, J. London Math. Soc. 5, 707–714.
-
(1972)
J. London Math. Soc.
, vol.5
, pp. 707-714
-
-
Higgins, J.R.1
-
44
-
-
84943458546
-
A sampling theorem for irregularly spaced sample points
-
—— (1976), A sampling theorem for irregularly spaced sample points, IEEE Trans. Inform. Theory IT-22, 621–622.
-
(1976)
IEEE Trans. Inform. Theory
, vol.IT-22
, pp. 621-622
-
-
Higgins, J.R.1
-
46
-
-
84968488715
-
ptheory of the cardinal series” by R. P. Gosselin
-
ptheory of the cardinal series” by R. P. Gosselin, Math. Rev. 27 # 6086, 1163.
-
(1964)
Math. Rev.
, vol.27
-
-
Hirschman, I.I.1
-
47
-
-
33646860428
-
Some general aspects of the sampling theorem
-
D. L. Jagerman and L. J. Fogel (1956), Some general aspects of the sampling theorem, IEEE Trans. Inform. Theory 2, 139–156.
-
(1956)
IEEE Trans. Inform. Theory
, vol.2
, pp. 139-156
-
-
Jagerman, D.L.1
Fogel, L.J.2
-
48
-
-
0017558676
-
The Shannon sampling theorem—its various extensions and applications:, a tutorial review
-
A. J. Jerri (1977), The Shannon sampling theorem—its various extensions and applications:, a tutorial review, Proc. IEEE 65, 1565–1596.
-
(1977)
Proc. IEEE
, vol.65
, pp. 1565-1596
-
-
Jerri, A.J.1
-
49
-
-
84942069389
-
On the general theory of functions
-
P. E. B. Jourdain (1905), On the general theory of functions, J. Reine Angew. Math. 128, 169–210.
-
(1905)
J. Reine Angew. Math.
, vol.128
, pp. 169-210
-
-
Jourdain, P.E.B.1
-
50
-
-
0014938215
-
Sampling theorem in Walsh–Fourier analysis
-
S. C. Kak (1970), Sampling theorem in Walsh–Fourier analysis, Electronics Lett. 6, 447–448.
-
(1970)
Electronics Lett.
, vol.6
, pp. 447-448
-
-
Kak, S.C.1
-
51
-
-
84968509144
-
Proof of sampling theorem in sequency analysis
-
M. Kawamura and S. Tanaka (1978), Proof of sampling theorem in sequency analysis, Systems–Comput.–Controls 9, 10–15.
-
(1978)
Systems–Comput.–Controls
, vol.9
, pp. 10-15
-
-
Kawamura, M.1
Tanaka, S.2
-
52
-
-
0017512527
-
Progress in the Soviet Union on the theory and applications of bandlimited functions
-
Y. I. Khurgin and V. P. Yakovlev (1977), Progress in the Soviet Union on the theory and applications of bandlimited functions, Proc. IEEE 65, 1005–1029.
-
(1977)
Proc. IEEE
, vol.65
, pp. 1005-1029
-
-
Khurgin, Y.I.1
Yakovlev, V.P.2
-
53
-
-
0002850312
-
Sampling theorem in abstract harmonic analysis
-
I. Kluvánek (1965), Sampling theorem in abstract harmonic analysis, Mat.-Fyz. Časopis Sloven. Akad. Vied 15, 43–48.
-
(1965)
Mat.-Fyz. Časopis Sloven. Akad. Vied
, vol.15
, pp. 43-48
-
-
Kluvánek, I.1
-
54
-
-
49649145668
-
Positive definite signals with maximal energy
-
—— (1972), Positive definite signals with maximal energy, J. Math. Anal. Appl. 39, 580–585.
-
(1972)
J. Math. Anal. Appl.
, vol.39
, pp. 580-585
-
-
Kluvánek, I.1
-
55
-
-
36849136620
-
Exact interpolation of bandlimited functions
-
A. Kohlenberg (1953), Exact interpolation of bandlimited functions, J. Appl. Phys. 24, 1432–1436.
-
(1953)
J. Appl. Phys.
, vol.24
, pp. 1432-1436
-
-
Kohlenberg, A.1
-
56
-
-
77954824787
-
On the Shannon theory of information transmission in the case of continuous signals
-
A. N. Kolmogorov (1956), On the Shannon theory of information transmission in the case of continuous signals, IRE Trans. Inform. Theory IT-2, 102–108.
-
(1956)
IRE Trans. Inform. Theory
, vol.IT-2
, pp. 102-108
-
-
Kolmogorov, A.N.1
-
57
-
-
84968470654
-
ε-Kapazität von Mengen in Funktional Räumen
-
VEB Deutscher Verlag Wiss., Berlin. (Translated from the Russian)
-
ε-Kapazität von Mengen in Funktional Räumen, Math. Forschungsberichte 10, VEB Deutscher Verlag Wiss., Berlin. (Translated from the Russian)
-
(1960)
Math. Forschungsberichte
, vol.10
-
-
Kolmogorov, A.N.1
Tihomirov, V.M.2
-
59
-
-
0002237684
-
A generalised sampling theorem
-
H. P. Kramer (1957), A generalised sampling theorem, J. Math. Phys. 63, 68–72.
-
(1957)
J. Math. Phys.
, vol.63
, pp. 68-72
-
-
Kramer, H.P.1
-
60
-
-
0005686439
-
The digital form of operators on band-limited functions
-
—— (1973), The digital form of operators on band-limited functions, J. Math. Anal. Appl. 44, 275–287.
-
(1973)
J. Math. Anal. Appl.
, vol.44
, pp. 275-287
-
-
Kramer, H.P.1
-
61
-
-
84932847861
-
Sampling, data transmission, and the Nyquist rate
-
H. J. Landau (1967a), Sampling, data transmission, and the Nyquist rate, Proc. IEEE 55, 1701–1706.
-
(1967)
Proc. IEEE
, vol.55
, pp. 1701-1706
-
-
Landau, H.J.1
-
62
-
-
0002884848
-
Necessary density conditions for sampling and interpolation of certain entire functions
-
—— (1967b), Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117, 37–52.
-
(1967)
Acta Math.
, vol.117
, pp. 37-52
-
-
Landau, H.J.1
-
63
-
-
84944487979
-
Prolate spheroidal wave functions, Fourier analysis and uncertainty. III
-
H. J. Landau and H. O. Pollack (1962), Prolate spheroidal wave functions, Fourier analysis and uncertainty. III, Bell System Tech. J. 41, 1295–1336.
-
(1962)
Bell System Tech. J.
, vol.41
, pp. 1295-1336
-
-
Landau, H.J.1
Pollack, H.O.2
-
64
-
-
84939700451
-
A discussion of sampling theorems
-
D. A. Linden (1959), A discussion of sampling theorems, Proc. IRE 47, 1219–1226.
-
(1959)
Proc. IRE
, vol.47
, pp. 1219-1226
-
-
Linden, D.A.1
-
65
-
-
0003544238
-
A generalisation of the sampling theorem
-
D. A. Linden and N. M. Abramson (1960), A generalisation of the sampling theorem, Inform, and Control 3, 26–31
-
(1960)
Inform, and Control
, vol.3
, pp. 26-31
-
-
Linden, D.A.1
Abramson, N.M.2
-
67
-
-
3342949824
-
Zur Entstehung des Abtasttheorems
-
H. D. Lüke (1978), Zur Entstehung des Abtasttheorems, Nachr. Techn. Z. 31, 271–274.
-
(1978)
Nachr. Techn. Z.
, vol.31
, pp. 271-274
-
-
Lüke, H.D.1
-
68
-
-
84931470909
-
Laplace’s transformation and integral functions
-
A. J. Macintyre (1938), Laplace’s transformation and integral functions, Proc. London Math. Soc. 45, 1–20.
-
(1938)
Proc. London Math. Soc.
, vol.45
, pp. 1-20
-
-
Macintyre, A.J.1
-
69
-
-
0003393811
-
-
3rd ed., Springer-Verlag, Berlin
-
W. Magnus, F. Oberhettinger and R. P. Soni (1966), Formulas and theorems for the special functions of mathematical physics, 3rd ed., Springer-Verlag, Berlin.
-
(1966)
Formulas and Theorems for the Special Functions of Mathematical Physics
-
-
Magnus, W.1
Oberhettinger, F.2
Soni, R.P.3
-
70
-
-
84939067736
-
Walsh functions and the sampling principle
-
U. S. Naval Research Lab
-
M. Maqusi (1972), Walsh functions and the sampling principle, Proc. Walsh Functions Sympos., U. S. Naval Research Lab.
-
(1972)
Proc. Walsh Functions Sympos.
-
-
Maqusi, M.1
-
71
-
-
0020272847
-
The application of random reference sequences to the reconstruction of clipped differentiable signals
-
E. Masry (1982), The application of random reference sequences to the reconstruction of clipped differentiable signals, IEEE Trans. Acoust. Speech Signal Process. ASSP-30, 953–963.
-
(1982)
IEEE Trans. Acoust. Speech Signal Process
, vol.ASSP-30
, pp. 953-963
-
-
Masry, E.1
-
72
-
-
0016495390
-
Sampling expansion for band-limited signals through some special functions
-
F. C. Mehta (1975), Sampling expansion for band-limited signals through some special functions, J. Cybernetics 61–68.
-
(1975)
J. Cybernetics
, pp. 61-68
-
-
Mehta, F.C.1
-
73
-
-
0018486624
-
The processing of hexagonally sampled two dimensional signals
-
R. M. Mersereau (1979), The processing of hexagonally sampled two dimensional signals, Proc. IEEE 67, 930–949.
-
(1979)
Proc. IEEE
, vol.67
, pp. 930-949
-
-
Mersereau, R.M.1
-
76
-
-
0000738946
-
Convolution, differential equations and entire functions of exponential type
-
D. H. Mugler (1976), Convolution, differential equations and entire functions of exponential type, Trans. Amer. Math. Soc. 216, 145–187.
-
(1976)
Trans. Amer. Math. Soc.
, vol.216
, pp. 145-187
-
-
Mugler, D.H.1
-
77
-
-
49149146678
-
The discrete Paley–Wiener theorem
-
—— (1980), The discrete Paley–Wiener theorem, J. Math. Anal. Appl. 75, 172–179.
-
(1980)
J. Math. Anal. Appl.
, vol.75
, pp. 172-179
-
-
Mugler, D.H.1
-
78
-
-
84968470586
-
Le problème d’échantillonnage et de l’interpolation d’un signal
-
J. Neveu (1965), Le problème d’échantillonnage et de l’interpolation d’un signal, C. R. Acad. Sci. Paris 260, 49–51.
-
(1965)
C. R. Acad. Sci. Paris
, vol.260
, pp. 49-51
-
-
Neveu, J.1
-
79
-
-
33646868258
-
On some central difference formulas of interpolation
-
K. Ogura (1920), On some central difference formulas of interpolation, Tôhoku Math. J. 17, 232–241.
-
(1920)
Tôhoku Math. J.
, vol.17
, pp. 232-241
-
-
Ogura, K.1
-
82
-
-
71249130663
-
A simple proof and some extensions of sampling theorems
-
Stanford Univ., Stanford
-
E. Parzen (1956), A simple proof and some extensions of sampling theorems, Tech. Rep. 7, Stanford Univ., Stanford.
-
(1956)
Tech. Rep.
, vol.7
-
-
Parzen, E.1
-
84
-
-
0001069518
-
Sampling and reconstruction of wave number-limited functions in N-dimensional Euclidean spaces
-
D. P. Petersen and D. Middleton (1962), Sampling and reconstruction of wave number-limited functions in N-dimensional Euclidean spaces, Inform, and Control 5, 279–323.
-
(1962)
Inform, and Control
, vol.5
, pp. 279-323
-
-
Petersen, D.P.1
Middleton, D.2
-
85
-
-
0015770753
-
Walsh functions—introduction to the theory
-
(Proc. NATO Advanced Study Inst. Signal Processing, J. W. R. Griffiths et al., eds.), Academic Press, London and New York
-
F. Pichler (1973), Walsh functions—introduction to the theory, Signal Processing (Proc. NATO Advanced Study Inst. Signal Processing, J. W. R. Griffiths et al., eds.), Academic Press, London and New York, pp. 23–41.
-
(1973)
Signal Processing
, pp. 23-41
-
-
Pichler, F.1
-
86
-
-
0013430410
-
Mémoire sur la manière d’exprimer les fonctions, par des séries de quantités périodiques, et sur l’usage de cette transformation dans la résolution de différens problèmes
-
S.-D. Poisson (1820), Mémoire sur la manière d’exprimer les fonctions, par des séries de quantités périodiques, et sur l’usage de cette transformation dans la résolution de différens problèmes, J. École Roy. Polytechnique 11, 417–489.
-
(1820)
J. École Roy. Polytechnique
, vol.11
, pp. 417-489
-
-
Poisson, S.-D.1
-
88
-
-
21244480110
-
A multidimensional sampling theorem
-
R. T. Prosser (1966), A multidimensional sampling theorem, J. Math. Anal. Appl. 16, 574–584.
-
(1966)
J. Math. Anal. Appl.
, vol.16
, pp. 574-584
-
-
Prosser, R.T.1
-
89
-
-
77957184708
-
A non-linear analogue of the cardinal series
-
C. Ryavec (1979), A non-linear analogue of the cardinal series, Quart. J. Math. Oxford Ser. 30, 223–227.
-
(1979)
Quart. J. Math. Oxford Ser.
, vol.30
, pp. 223-227
-
-
Ryavec, C.1
-
90
-
-
84856043672
-
A mathematical theory of communication
-
C. E. Shannon (1948), A mathematical theory of communication, Bell System Tech. J. 27, 379–423.
-
(1948)
Bell System Tech. J.
, vol.27
, pp. 379-423
-
-
Shannon, C.E.1
-
91
-
-
84911837213
-
Communication in the presence of noise
-
—— (1949), Communication in the presence of noise, Proc. IRE 37, 10–21.
-
(1949)
Proc. IRE
, vol.37
, pp. 10-21
-
-
Shannon, C.E.1
-
93
-
-
84968472326
-
Interpolated derivatives
-
B. Spain (1940), Interpolated derivatives, Proc. Roy. Soc. Edinburgh 60, 134–140.
-
(1940)
Proc. Roy. Soc. Edinburgh
, vol.60
, pp. 134-140
-
-
Spain, B.1
-
95
-
-
84968498440
-
Error analysis in the Walsh sampling theorem
-
Baltimore. Inst, for Electrical and Electronics Engineers, Service Center, Piscataway, N. J
-
W. Splettstösser (1980), Error analysis in the Walsh sampling theorem, IEEE Sympos. Electromagnetic Computibility, Baltimore. Inst, for Electrical and Electronics Engineers, Service Center, Piscataway, N. J., pp. 366–370.
-
(1980)
IEEE Sympos. Electromagnetic Computibility
, pp. 366-370
-
-
Splettstösser, W.1
-
96
-
-
0020180443
-
Sampling approximation of continuous functions with multidimensional domain
-
—— (1982), Sampling approximation of continuous functions with multidimensional domain, IEEE Trans. Inform. Theory IT-28, 809–814.
-
(1982)
IEEE Trans. Inform. Theory
, vol.IT-28
, pp. 809-814
-
-
Splettstösser, W.1
-
98
-
-
0018545218
-
Sampling theorems in polar coordinates
-
H. Stark (1979), Sampling theorems in polar coordinates, J. Opt. Soc. Amer. 69, 1519–1525.
-
(1979)
J. Opt. Soc. Amer.
, vol.69
, pp. 1519-1525
-
-
Stark, H.1
-
99
-
-
84975624281
-
Image reconstruction using polar sampling theorems
-
H. Stark and C. S. Sarna (1979), Image reconstruction using polar sampling theorems, Appl. Optics 18, 2086–2088.
-
(1979)
Appl. Optics
, vol.18
, pp. 2086-2088
-
-
Stark, H.1
Sarna, C.S.2
-
100
-
-
33646855678
-
Uber eine Klasse von ganzen Funktionen und ihre Anwendung auf die Zahlentheorie
-
J. F. Steffensen (1914), Uber eine Klasse von ganzen Funktionen und ihre Anwendung auf die Zahlentheorie, Acta Math. 37, 75–112.
-
(1914)
Acta Math.
, vol.37
, pp. 75-112
-
-
Steffensen, J.F.1
-
101
-
-
0019002682
-
Error estimates for sampling sums based on convolution integrals
-
R. L. Stens (1980), Error estimates for sampling sums based on convolution integrals, Inform. and Control 45, 37–47.
-
(1980)
Inform. and Control
, vol.45
, pp. 37-47
-
-
Stens, R.L.1
-
102
-
-
0010815554
-
Uber eine Interpolations—formeln von de la Vallée Poussin
-
M. Theis (1919), Uber eine Interpolations—formeln von de la Vallée Poussin, Math. Z. 3, 93–113.
-
(1919)
Math. Z.
, vol.3
, pp. 93-113
-
-
Theis, M.1
-
103
-
-
34247382252
-
Reciprocal formulae involving series and integrals
-
E. C. Titchmarsh (1926a), Reciprocal formulae involving series and integrals, Math. Z. 25, 321–347.
-
(1926)
Math. Z.
, vol.25
, pp. 321-347
-
-
Titchmarsh, E.C.1
-
104
-
-
84960569555
-
The zeros of certain integral functions
-
—— (1926b), The zeros of certain integral functions, Proc. London Math. Soc. 25, 283–302.
-
(1926)
Proc. London Math. Soc.
, vol.25
, pp. 283-302
-
-
Titchmarsh, E.C.1
-
107
-
-
34247356300
-
Sur la formule d’interpolation de Lagrange
-
203–224
-
G. Valiron (1925), Sur la formule d’interpolation de Lagrange, Bull. Sci. Math. (2) 49, 181–192; 203–224.
-
(1925)
Bull. Sci. Math.
, vol.49
, Issue.2
, pp. 181-192
-
-
Valiron, G.1
-
108
-
-
0346801622
-
Sur la convergence des formules d’interpolation entre ordonnées equidistantes
-
Ch.-J. de la Vallée Poussin (1908), Sur la convergence des formules d’interpolation entre ordonnées equidistantes, Acad. Roy. Belg. Bull. Cl. Sci. 1, 319–410.
-
(1908)
Acad. Roy. Belg. Bull. Cl. Sci.
, vol.1
, pp. 319-410
-
-
de la Vallée Poussin, C.H.1
-
109
-
-
5244251737
-
The cardinal series in Hilbert space
-
J. D. Weston (1949a), The cardinal series in Hilbert space, Proc. Cambridge Philos. Soc. 45, 335–341.
-
(1949)
Proc. Cambridge Philos. Soc.
, vol.45
, pp. 335-341
-
-
Weston, J.D.1
-
110
-
-
33646880895
-
A note on the theory of cummunication
-
—— (1949b), A note on the theory of cummunication, Philos. Mag. (303) 40, 449–453.
-
(1949)
Philos. Mag.
, vol.40
, Issue.303
, pp. 449-453
-
-
Weston, J.D.1
-
111
-
-
0001693842
-
On the functions which are represented by the expansions of the interpolation theory
-
E. T. Whittaker (1915), On the functions which are represented by the expansions of the interpolation theory, Proc. Roy. Soc. Edinburgh 35, 181–194.
-
(1915)
Proc. Roy. Soc. Edinburgh
, vol.35
, pp. 181-194
-
-
Whittaker, E.T.1
-
112
-
-
84959700878
-
On the cardinal function of interpolation theory
-
J. M. Whittaker (1929a), On the cardinal function of interpolation theory, Proc. Edinburgh Math. Soc. 1, 41–46.
-
(1929)
Proc. Edinburgh Math. Soc.
, vol.1
, pp. 41-46
-
-
Whittaker, J.M.1
-
113
-
-
84959600837
-
On the “Fourier theory” of the cardinal function
-
—— (1929b), On the “Fourier theory” of the cardinal function, Proc. Edinburgh Math. Soc. 1, 169–176.
-
(1929)
Proc. Edinburgh Math. Soc.
, vol.1
, pp. 169-176
-
-
Whittaker, J.M.1
-
115
-
-
84928114166
-
On nonuniform sampling of bandwidth-limited signals
-
J. L. Yen (1956), On nonuniform sampling of bandwidth-limited signals, IRE Trans. Circuit Theory CT-3, 251–257.
-
(1956)
IRE Trans. Circuit Theory
, vol.CT-3
, pp. 251-257
-
-
Yen, J.L.1
-
117
-
-
0005721148
-
Band-limited functions and the sampling theorem
-
M. Zakai (1965), Band-limited functions and the sampling theorem, Inform. and Control 8, 143–158.
-
(1965)
Inform. and Control
, vol.8
, pp. 143-158
-
-
Zakai, M.1
-
118
-
-
84968504552
-
-
Doctoral Diss. Technische Univ. München
-
+Doctoral Diss. Technische Univ. München.
-
(1981)
+
-
-
Ziegler, W.1
-
119
-
-
84953751498
-
-
2nd ed., Cambridge Univ. Press, Cambridge
-
A. Zygmund (1959), Trigonometric series, Vol. II. 2nd ed., Cambridge Univ. Press, Cambridge.
-
(1959)
Trigonometric Series
, vol.2
-
-
Zygmund, A.1
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