-
1
-
-
0347480334
-
Approximation of an analytic function on a finite real interval by bandlimited function and conjecture on properties of prolate spheroidal functions
-
Boyd, J. P.: Approximation of an analytic function on a finite real interval by bandlimited function and conjecture on properties of prolate spheroidal functions. Appl. Comput. Harmon. Anal. 15, 168-176 (2003).
-
(2003)
Appl. Comput. Harmon. Anal.
, vol.15
, pp. 168-176
-
-
Boyd, J.P.1
-
2
-
-
0003906492
-
-
1st edn., Belmont: Wadsworth & Brooks/Cole Advanced Books & Software
-
Folland, G. B.: Fourier Analysis and Its Applications, 1st edn. Wadsworth & Brooks/Cole Advanced Books & Software, Belmont (1992).
-
(1992)
Fourier Analysis and Its Applications
-
-
Folland, G.B.1
-
4
-
-
84968465441
-
Eigenvalue behavior of certain convolution equations
-
Landau, H. J.: Eigenvalue behavior of certain convolution equations. Trans. Am. Math. Soc. 115, 242-256 (1965).
-
(1965)
Trans. Am. Math. Soc.
, vol.115
, pp. 242-256
-
-
Landau, H.J.1
-
5
-
-
84857887285
-
Prolate spheroidal wave functions, Fourier analysis and uncertainty-II
-
Landau, H. J., Pollak, H. O.: Prolate spheroidal wave functions, Fourier analysis and uncertainty-II. Bell Syst. Tech. J. 41, 65-84 (1961).
-
(1961)
Bell Syst. Tech. J.
, vol.41
, pp. 65-84
-
-
Landau, H.J.1
Pollak, H.O.2
-
6
-
-
84944487979
-
Prolate spheroidal wave functions, Fourier analysis and uncertainty-III
-
Landau, H. J., Pollak, H. O.: Prolate spheroidal wave functions, Fourier analysis and uncertainty-III. Bell Syst. Tech. J. 41, 1295-1336 (1962).
-
(1962)
Bell Syst. Tech. J.
, vol.41
, pp. 1295-1336
-
-
Landau, H.J.1
Pollak, H.O.2
-
7
-
-
85025750330
-
Eigenvalue distribution of time and frequency limiting
-
Landau, H. J., Widom, H.: Eigenvalue distribution of time and frequency limiting. J. Math. Anal. Appl. 77, 469-481 (1980).
-
(1980)
J. Math. Anal. Appl.
, vol.77
, pp. 469-481
-
-
Landau, H.J.1
Widom, H.2
-
8
-
-
0036570428
-
Laplace transform of spherical Bessel functions
-
Ludu, A., O'Connell, R. F.: Laplace transform of spherical Bessel functions. Phys. Scr. 65, 369-372 (2002).
-
(2002)
Phys. Scr.
, vol.65
, pp. 369-372
-
-
Ludu, A.1
O'Connell, R.F.2
-
9
-
-
2442585496
-
Prolate spheroidal wave functions, an introduction to the Slepian series and its properties
-
Moore, I. C., Cada, M.: Prolate spheroidal wave functions, an introduction to the Slepian series and its properties. Appl. Comput. Harmon. Anal. 16(3), 208-230 (2004).
-
(2004)
Appl. Comput. Harmon. Anal.
, vol.16
, Issue.3
, pp. 208-230
-
-
Moore, I.C.1
Cada, M.2
-
10
-
-
84856210413
-
On the eigenfunctions corresponding to the bandpass kernel the case of degeneracy
-
Morrison, J. A.: On the eigenfunctions corresponding to the bandpass kernel the case of degeneracy. In: Quart. Appl. Math., vol. 21, pp. 13-19 (1963).
-
(1963)
Quart. Appl. Math.
, vol.21
, pp. 13-19
-
-
Morrison, J.A.1
-
11
-
-
0012149742
-
Essential dimension as a well-defined number of degrees of freedom of finite-convolution operators appearing in optics
-
Newsam, G., Barakat, R.: Essential dimension as a well-defined number of degrees of freedom of finite-convolution operators appearing in optics. J. Opt. Soc. Am. 2(11), 2040-2045 (1985).
-
(1985)
J. Opt. Soc. Am.
, vol.2
, Issue.11
, pp. 2040-2045
-
-
Newsam, G.1
Barakat, R.2
-
12
-
-
33751002629
-
Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit
-
Rokhlin, V., Xiao, H.: Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit. Appl. Comput. Harmon. Anal. 22, 105-123 (2007).
-
(2007)
Appl. Comput. Harmon. Anal.
, vol.22
, pp. 105-123
-
-
Rokhlin, V.1
Xiao, H.2
-
13
-
-
77952583485
-
Differential operator related to the generalized superradiance integral equation
-
SenGupta, I.: Differential operator related to the generalized superradiance integral equation. J. Math. Anal. Appl. 369, 101-111 (2010).
-
(2010)
J. Math. Anal. Appl.
, vol.369
, pp. 101-111
-
-
Sengupta, I.1
-
14
-
-
78149414329
-
Spectral analysis for a three-dimensional superradiance problem
-
SenGupta, I.: Spectral analysis for a three-dimensional superradiance problem. J. Math. Anal. Appl. 375, 762-776 (2011).
-
(2011)
J. Math. Anal. Appl.
, vol.375
, pp. 762-776
-
-
Sengupta, I.1
-
15
-
-
33746171197
-
Spatiospectral concentration on a sphere
-
Simons, F. J., Dahlen, F. A., Wieczorek, M. A.: Spatiospectral concentration on a sphere. SIAM Rev. 48(3), 504-536 (2006).
-
(2006)
SIAM Rev.
, vol.48
, Issue.3
, pp. 504-536
-
-
Simons, F.J.1
Dahlen, F.A.2
Wieczorek, M.A.3
-
16
-
-
84939751170
-
Prolate spheroidal wave functions, Fourier analysis and uncertainty-I
-
Slepian, D., Pollak, H. O.: Prolate spheroidal wave functions, Fourier analysis and uncertainty-I. Bell Syst. Tech. J. 40, 43-64 (1961).
-
(1961)
Bell Syst. Tech. J.
, vol.40
, pp. 43-64
-
-
Slepian, D.1
Pollak, H.O.2
-
17
-
-
84916160159
-
Prolate spheroidal wave functions, Fourier analysis and uncertainty-IV: extensions to many dimensions; generalized prolate spheroidal functions
-
Slepian, D.: Prolate spheroidal wave functions, Fourier analysis and uncertainty-IV: extensions to many dimensions; generalized prolate spheroidal functions. Bell Syst. Tech. J. 43, 3009-3058 (1964).
-
(1964)
Bell Syst. Tech. J.
, vol.43
, pp. 3009-3058
-
-
Slepian, D.1
-
18
-
-
85171835557
-
Some asymptotic expansions for prolate spheroidal wave functions
-
Slepian, D.: Some asymptotic expansions for prolate spheroidal wave functions. J. Math. Phys. 44, 99-140 (1965).
-
(1965)
J. Math. Phys.
, vol.44
, pp. 99-140
-
-
Slepian, D.1
-
19
-
-
0017961888
-
Prolate spheroidal wave functions, Fourier analysis and uncertainty-V
-
Slepian, D.: Prolate spheroidal wave functions, Fourier analysis and uncertainty-V. Bell Syst. Tech. J. 57, 1371-1430 (1978).
-
(1978)
Bell Syst. Tech. J.
, vol.57
, pp. 1371-1430
-
-
Slepian, D.1
-
20
-
-
0020786063
-
Some comments on Fourier analysis, uncertainty and modeling
-
Slepian, D.: Some comments on Fourier analysis, uncertainty and modeling. SIAM Rev. 25(3), 379-393 (1983).
-
(1983)
SIAM Rev.
, vol.25
, Issue.3
, pp. 379-393
-
-
Slepian, D.1
-
21
-
-
77956575471
-
Analysis of spectral approximations using prolate spheroidal wave functions
-
Wang, L.-L.: Analysis of spectral approximations using prolate spheroidal wave functions. Math. Comput. 79, 807-827 (2009).
-
(2009)
Math. Comput.
, vol.79
, pp. 807-827
-
-
Wang, L.-L.1
-
23
-
-
0001292373
-
Asymptotic behavior of the eigenvalues of certain integral equations. II
-
Widom, H.: Asymptotic behavior of the eigenvalues of certain integral equations. II. Arch. Ration. Mech. Anal. 17, 215-229 (1964).
-
(1964)
Arch. Ration. Mech. Anal.
, vol.17
, pp. 215-229
-
-
Widom, H.1
-
25
-
-
0035420586
-
Prolate spheroidal wavefunctions, quadrature and interpolation
-
Xiao, H., Rokhlin, V., Yarvin, N.: Prolate spheroidal wavefunctions, quadrature and interpolation. Inverse Probl. 17, 805-838 (2001).
-
(2001)
Inverse Probl.
, vol.17
, pp. 805-838
-
-
Xiao, H.1
Rokhlin, V.2
Yarvin, N.3
|