-
1
-
-
0003127877
-
Kramer-type sampling theorems associated with Fredholm integral operators
-
M. H. Annaby and M. A. El-Sayed, Kramer-type sampling theorems associated with Fredholm integral operators, Methods Appl. Anal. 2 (1995), 76-91.
-
(1995)
Methods Appl. Anal.
, vol.2
, pp. 76-91
-
-
Annaby, M.H.1
El-Sayed, M.A.2
-
2
-
-
0009974492
-
A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues
-
M. H. Annaby and H. A. Hassan, A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues, Internat. J. Math. Math. Sci. 21 (1998), 571-580.
-
(1998)
Internat. J. Math. Math. Sci.
, vol.21
, pp. 571-580
-
-
Annaby, M.H.1
Hassan, H.A.2
-
4
-
-
85088332737
-
Sampling integrodifferential transforms arising from second order differential operators
-
Submitted
-
M. H. Annaby and G. Freiling, Sampling integrodifferential transforms arising from second order differential operators, Submitted to Math. Nachr.
-
Math. Nachr.
-
-
Annaby, M.H.1
Freiling, G.2
-
5
-
-
0000722218
-
On the asymptotics of the solutions of certain linear differential equations containing a parameter
-
G. D. Birkhoff, On the asymptotics of the solutions of certain linear differential equations containing a parameter, Trans. Amer. Math. Soc. 9 (1908), 219-231.
-
(1908)
Trans. Amer. Math. Soc.
, vol.9
, pp. 219-231
-
-
Birkhoff, G.D.1
-
6
-
-
0000433118
-
Boundary value and expansion problems of ordinary linear differential equations
-
G. D. Birkhoff, Boundary value and expansion problems of ordinary linear differential equations, Trans. Amer. Math. Soc. 9 (1908), 379-395.
-
(1908)
Trans. Amer. Math. Soc.
, vol.9
, pp. 379-395
-
-
Birkhoff, G.D.1
-
7
-
-
0004032164
-
-
Academic Press, New York
-
R. Boas, Entire Functions, Academic Press, New York, 1954.
-
(1954)
Entire Functions
-
-
Boas, R.1
-
8
-
-
0001114755
-
A survey of the Whittaker-Shannon sampling theorem and some of its extensions
-
P. L. Butzer, A survey of the 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
-
10
-
-
0028443011
-
Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems
-
P. L. Butzer and G. Schöttler, Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems, J. Comput. Appl. Math. 51 (1994), 159-177.
-
(1994)
J. Comput. Appl. Math.
, vol.51
, pp. 159-177
-
-
Butzer, P.L.1
Schöttler, G.2
-
11
-
-
0000932728
-
A comparison of the sampling theorems of Kramer and Whittaker
-
L. L. Campbell, A comparison of the sampling theorems of Kramer and Whittaker, SIAM J. Appl. Math. 12 (1964), 117-130.
-
(1964)
SIAM J. Appl. Math.
, vol.12
, pp. 117-130
-
-
Campbell, L.L.1
-
13
-
-
0001541502
-
x, - Extension of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions
-
x, - extension of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions, Integral Equations Operator Theory 7 (1984), 459-615.
-
(1984)
Integral Equations Operator Theory
, vol.7
, pp. 459-615
-
-
Dijksma, A.1
Langer, H.2
De Snoo, H.S.V.3
-
14
-
-
0002966304
-
Symmetric Sturm-Liouville operators with eigenvalue depending boundary conditions
-
A. Dijksma, H. Langer and H. S. V. De Snoo, Symmetric Sturm-Liouville operators with eigenvalue depending boundary conditions, AMS-CMS Conference Proceedings 8 (1987), 87-116.
-
(1987)
AMS-CMS Conference Proceedings
, vol.8
, pp. 87-116
-
-
Dijksma, A.1
Langer, H.2
De Snoo, H.S.V.3
-
15
-
-
0007043611
-
Über das asymptotische Verhalten von Lösungen der linearen differentialgleichung M(y) = λN(y) für grosse werte von |λ|
-
W. Eberhard, Über das asymptotische Verhalten von Lösungen der linearen Differentialgleichung M(y) = λN(y) für grosse Werte von |λ|, Math. Zeit. 119 (1971), 160-170.
-
(1971)
Math. Zeit.
, vol.119
, pp. 160-170
-
-
Eberhard, W.1
-
16
-
-
0007141669
-
Nicht S-hermitesche Rand- und Eigenwertprobleme
-
W. Eberhard and G. Freiling, Nicht S-hermitesche Rand-und Eigenwertprobleme, Math. Zeit. 133 (1973), 187-202.
-
(1973)
Math. Zeit.
, vol.133
, pp. 187-202
-
-
Eberhard, W.1
Freiling, G.2
-
17
-
-
0002672031
-
Das verhalten der greenschen matrix und der entwicklung nach eigenfunktionen N-regulärer eigenwertprobleme
-
W. Eberhard and G. Freiling, Das Verhalten der Greenschen Matrix und der Entwicklung nach Eigenfunktionen N-regulärer Eigenwertprobleme, Math. Zeit. 136 (1974), 13-30.
-
(1974)
Math. Zeit.
, vol.136
, pp. 13-30
-
-
Eberhard, W.1
Freiling, G.2
-
18
-
-
0007133590
-
Stone-reguläre eigenwertprobleme
-
W. Eberhard and G. Freiling, Stone-reguläre Eigenwertprobleme, Math. Zeit. 160 (1978), 139-161.
-
(1978)
Math. Zeit.
, vol.160
, pp. 139-161
-
-
Eberhard, W.1
Freiling, G.2
-
19
-
-
0002772914
-
Sturm-Liouville boundary value problems and lagrange interpolation series
-
W. N. Everitt, G. Schöttler and P. L. Butzer, Sturm-Liouville boundary value problems and Lagrange interpolation series, Rend. Math. Appl. 14 (1994), 87-126.
-
(1994)
Rend. Math. Appl.
, vol.14
, pp. 87-126
-
-
Everitt, W.N.1
Schöttler, G.2
Butzer, P.L.3
-
20
-
-
0002375729
-
Interpolation and sampling theorems and linear ordinary boundary value problems
-
(Higgins, J. R. and Stens, R. L. eds) Oxford: Clarendon Press (to appear)
-
W. N. Everitt and G. Nasri-Roudasri, Interpolation and sampling theorems and linear ordinary boundary value problems. In: Sampling Theory in Fourier and Signal Analysis: Advanced Topics (Higgins, J. R. and Stens, R. L. eds) Oxford: Clarendon Press (to appear).
-
Sampling Theory in Fourier and Signal Analysis: Advanced Topics
-
-
Everitt, W.N.1
Nasri-Roudasri, G.2
-
21
-
-
0040466676
-
Reguläre eigenwertprobleme mit mehrpunkt-integral-randbedingungen
-
G. Freiling, Reguläre Eigenwertprobleme mit Mehrpunkt-Integral-Randbedingungen, Math. Zeit. 171 (1980), 113-131.
-
(1980)
Math. Zeit.
, vol.171
, pp. 113-131
-
-
Freiling, G.1
-
22
-
-
0007093093
-
Rand-eigenwertprobleme N(y) = λP(y) bei λ-abhängigen randbedingungen
-
G. Heisecke, Rand-Eigenwertprobleme N(y) = λP(y) bei λ-abhängigen Randbedingungen, Mitt. Math. Sem. Giessen 145 (1980), 1-74.
-
(1980)
Mitt. Math. Sem. Giessen
, vol.145
, pp. 1-74
-
-
Heisecke, G.1
-
24
-
-
84968515233
-
Five short stories about the cardinal series
-
J. R. Higgins, Five short stories about the cardinal series, Bull. Amer. Math. Soc. 12 (1985), 45-89.
-
(1985)
Bull. Amer. Math. Soc.
, vol.12
, pp. 45-89
-
-
Higgins, J.R.1
-
25
-
-
0017558676
-
The shannon sampling theorem-its various extensions and applications: A tutorial review
-
A. J. Jerri, The Shannon sampling theorem-its various extensions and applications: A tutorial review, Proc. IEEE 65 (1977), 1565-1598.
-
(1977)
Proc. IEEE
, vol.65
, pp. 1565-1598
-
-
Jerri, A.J.1
-
26
-
-
0000701478
-
The exact value of the Paley-Wiener constant
-
M. I. Kadec, The exact value of the Paley-Wiener constant, Sov. Math. Dokl. 5 (1964), 559-561.
-
(1964)
Sov. Math. Dokl.
, vol.5
, pp. 559-561
-
-
Kadec, M.I.1
-
27
-
-
0007046027
-
Über die definiten selbstadjungierten eigenwertaufgaben bei gewöhnlichen differentialgleichungen I
-
E. Kamke, Über die definiten selbstadjungierten Eigenwertaufgaben bei gewöhnlichen Differentialgleichungen I, Math. Zeit. 45 (1939), 759-787.
-
(1939)
Math. Zeit.
, vol.45
, pp. 759-787
-
-
Kamke, E.1
-
28
-
-
0040995904
-
Über die definiten selbstadjungierten eigenwertaufgaben bei gewöhnlichen differentialgleichungen II
-
E. Kamke, Über die definiten selbstadjungierten Eigenwertaufgaben bei gewöhnlichen Differentialgleichungen II, Math. Zeit. 46 (1940), 231-250.
-
(1940)
Math. Zeit.
, vol.46
, pp. 231-250
-
-
Kamke, E.1
-
29
-
-
0006767157
-
Über die definiten selbstadjungierten eigenwertaufgaben bei gewöhnlichen differentialgleichungen III
-
E. Kamke, Über die definiten selbstadjungierten Eigenwertaufgaben bei gewöhnlichen Differentialgleichungen III, Math. Zeit. 46 (1940), 251-286.
-
(1940)
Math. Zeit.
, vol.46
, pp. 251-286
-
-
Kamke, E.1
-
30
-
-
0040466675
-
Über die definiten selbstadjungierten eigenwertaufgaben bei gewöhnlichen differentialgleichungen IV
-
E. Kamke, Über die definiten selbstadjungierten Eigenwertaufgaben bei gewöhnlichen Differentialgleichungen IV, Math. Zeit. 48 (1942/43), 67-100.
-
(1942)
Math. Zeit.
, vol.48
, pp. 67-100
-
-
Kamke, E.1
-
31
-
-
0004178798
-
-
Akademische Verlagsgesellschaft Geest & Portig, Leipzig
-
E. Kamke, Differentialgleichungen I, Akademische Verlagsgesellschaft Geest & Portig, Leipzig, 1969.
-
(1969)
Differentialgleichungen I
-
-
Kamke, E.1
-
32
-
-
0007142425
-
Abgeleitete Birkhoff-Reihen bei randeigenwertproblemen zu N(y) = λP(y) mit λ-abhängigen Randbedingungen
-
F. J. Kaufmann, Abgeleitete Birkhoff-Reihen bei Randeigenwertproblemen zu N(y) = λP(y) mit λ-abhängigen Randbedingungen, Mitt. Math. Sem. Giessen Heft 190 (1989).
-
(1989)
Mitt. Math. Sem. Giessen Heft
, vol.190
-
-
Kaufmann, F.J.1
-
33
-
-
33747444473
-
A generalized sampling theorem
-
H. P. Kramer, A generalized sampling theorem, J. Math. Phys. 38 (1959), 68-72.
-
(1959)
J. Math. Phys.
, vol.38
, pp. 68-72
-
-
Kramer, H.P.1
-
37
-
-
0011622201
-
-
Amer. Math. Soc. Providence, Rhode Island
-
N. Levinson, Gap and Density Theorems, Amer. Math. Soc. Providence, Rhode Island, 1940.
-
(1940)
Gap and Density Theorems
-
-
Levinson, N.1
-
39
-
-
0009974493
-
Regularity of self-adjoint boundary conditions
-
A. Minkin, Regularity of self-adjoint boundary conditions, Mat. Zametki 22 (1977), 835-846.
-
(1977)
Mat. Zametki
, vol.22
, pp. 835-846
-
-
Minkin, A.1
-
43
-
-
0002280884
-
S-hermitesche rand-eigenwertprobleme I
-
F. W. Schäfke and A. Schneider, S-hermitesche Rand-Eigenwertprobleme I, Math. Ann. 162 (1965), 9-26.
-
(1965)
Math. Ann.
, vol.162
, pp. 9-26
-
-
Schäfke, F.W.1
Schneider, A.2
-
44
-
-
34250520731
-
S-hermitesche rand-eigenwertprobleme II
-
F. W. Schäfke and A. Schneider, S-hermitesche Rand-Eigenwertprobleme II, Math. Ann. 165 (1966), 235-260.
-
(1966)
Math. Ann.
, vol.165
, pp. 235-260
-
-
Schäfke, F.W.1
Schneider, A.2
-
45
-
-
0013544525
-
S-hermitesche rand-eigenwertprobleme III
-
F. W. Schäfke and A. Schneider, S-hermitesche Rand-Eigenwertprobleme III, Math. Ann. 177 (1968), 67-94.
-
(1968)
Math. Ann.
, vol.177
, pp. 67-94
-
-
Schäfke, F.W.1
Schneider, A.2
-
46
-
-
0007044650
-
Zur einordnung selbstadjungierter rand-eigenwertprobleme bei gewöhnlichen differentialgleichungen in die theorie S-hermitescher rand-eigenwertprobleme
-
A. Schneider, Zur Einordnung selbstadjungierter Rand-Eigenwertprobleme bei gewöhnlichen Differentialgleichungen in die Theorie S-hermitescher Rand-Eigenwertprobleme, Math. Ann. 178 (1968), 277-294.
-
(1968)
Math. Ann.
, vol.178
, pp. 277-294
-
-
Schneider, A.1
-
47
-
-
84911837213
-
Communications in the presence of noise
-
C. E. Shannon, Communications in the presence of noise, Proc. IRE 37 (1949), 10-21.
-
(1949)
Proc. IRE
, vol.37
, pp. 10-21
-
-
Shannon, C.E.1
-
48
-
-
84985311463
-
Kamke problems. Properties of the eigenfunctions
-
A. A. Shkalikov and C. Tretter, Kamke problems. Properties of the eigenfunctions, Math. Nachr. 170 (1994), 251-275.
-
(1994)
Math. Nachr.
, vol.170
, pp. 251-275
-
-
Shkalikov, A.A.1
Tretter, C.2
-
49
-
-
0001606576
-
Spectral analysis for linear pencils N - λP of ordinary differential operators
-
A. A. Shkalikov and C. Tretter, Spectral analysis for linear pencils N - λP of ordinary differential operators, Math. Nachr. 179 (1996), 275-305.
-
(1996)
Math. Nachr.
, vol.179
, pp. 275-305
-
-
Shkalikov, A.A.1
Tretter, C.2
-
50
-
-
84966229831
-
A comparison of the series of Fourier and Birkhoff
-
M. H. Stone, A comparison of the series of Fourier and Birkhoff, Trans. Amer. Math. Soc. 28 (1926), 695-761.
-
(1926)
Trans. Amer. Math. Soc.
, vol.28
, pp. 695-761
-
-
Stone, M.H.1
-
51
-
-
0003087755
-
Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions
-
J. D. Tamarkin, Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions, Math. Zeit. 27 (1927), 1-54.
-
(1927)
Math. Zeit.
, vol.27
, pp. 1-54
-
-
Tamarkin, J.D.1
-
53
-
-
51249169825
-
On fundamental systems for differential equations of Kamke type
-
C. Tretter, On fundamental systems for differential equations of Kamke type, Math Zeit. 219 (1995), 609-626.
-
(1995)
Math Zeit.
, vol.219
, pp. 609-626
-
-
Tretter, C.1
-
55
-
-
0009975497
-
Sampling theorems associated with Sturm-Liouville systems
-
P. Weiss, Sampling theorems associated with Sturm-Liouville systems, Bull. Amer. Math. Soc. 163 (1957), 242.
-
(1957)
Bull. Amer. Math. Soc.
, vol.163
, pp. 242
-
-
Weiss, P.1
-
56
-
-
0001693842
-
On the functions which are represented by the expansion of the interpolation theory
-
E. T. Whittaker, On the functions which are represented by the expansion of the interpolation theory. Proc. Roy. Soc. Edin. Sect. A 35 (1915), 181-194.
-
(1915)
Proc. Roy. Soc. Edin. Sect. A
, vol.35
, pp. 181-194
-
-
Whittaker, E.T.1
-
59
-
-
0025449055
-
On lagrange interpolations and Kramer-type sampling theorems associated with Sturm-Liouville problems
-
A. I. Zayed, G. Hinsen and P. L. Butzer, On Lagrange interpolations 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
-
60
-
-
0002704845
-
On lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems
-
A. I. Zayed, M. A. El-Sayed and M. H. Annaby, On Lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems, J. Math. Anal. Appl. 158 (1991), 269-284.
-
(1991)
J. Math. Anal. Appl.
, vol.158
, pp. 269-284
-
-
Zayed, A.I.1
El-Sayed, M.A.2
Annaby, M.H.3
|