Slepian functions on the sphere, generalized Gaussian quadrature rule

Inverse Problems

Volumn 20, Issue 3, 2004, Pages 877-892

  Miranian, L ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; FOURIER TRANSFORMS; FREQUENCIES; FUNCTIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; SPECTRUM ANALYSIS; VECTORS;

CHEBYSHEV SYSTEM; QUADRATURE RULE; SINGULAR VECTORS; SLEPIAN FUNCTIONS;

SIGNAL PROCESSING;

EID: 3042577550     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/20/3/014     Document Type: Article

References (17)

1. Grünbaum F A, Longhi L and Perlstadt M 1982 Differential operators commuting with finite convolution integral operators: some non-Abelian examples SIAM J. Appl. Math. 42 941-55
2. Slepian D and Pollak H O 1961 Prolate spheroidal wave functions, Fourier analysis and uncertainty, I Bell Syst. Tech. J. 40 43-64
3. Landau H J and Pollak HO 1961 Prolate spheroidal wave functions, Fourier analysis and uncertainty, II Bell Syst. Tech. J. 40 65-84
4. Landau H J and Pollak H O 1962 Prolate spheroidal wave functions, Fourier analysis and uncertainty, III Bell Syst. Tech. J. 41 1295-336
5. Slepian D 1964 Prolate spheroidal wave functions, Fourier analysis and uncertainty, IV Bell Syst. Tech. J. 43 3009-58
6. Slepian D 1983 Some comments on Fourier analysis, uncertainty and modeling SIAM Rev. 25 379-93
7. Slepian D 1976 On bandwidth Proc. IEEE 63 292-300
8. Slepian D 1978 Prolate spheroidal wave functions, Fourier analysis and uncertainty, V Bell Syst. Tech. J. 57 1371-430
9. Shannon C E 1948 A mathematical theory of communication Bell Syst. Tech. J. 27 379-423 Shannon C E 1948 Bell Syst. Tech. J. 27 623-56
10. Shannon C E 1948 A mathematical theory of communication Bell Syst. Tech. J. 27 379-423 Shannon C E 1948 Bell Syst. Tech. J. 27 623-56
11. Xiao H, Rokhlin V and Yarvin N 2001 Prolate spheroidal wave functions, quadrature, and interpolation Inverse Problems 17 805-38
12. Albertella A, Sanso F and Sneeuw N 1999 Band-limited functions on a bounded spherical domain: the Slepian problem on the sphere J. Geodesy 73 436-47
13. Grünbaum F A and Miranian L 2001 The magic of the prolate spheroidal functions in various setups Proc. SPIE 4478 151-61
14. Hwang Ch 1990 Spectral analysis using orthonormal functions with a case study on the sea surface topography Geophys. J. Int. 115 1148-60
15. Albertella A and Sneeuw N 2000 The analysis of radiometric data with Slepian functions Phys. Chem. Earth A 25 667-72
16. Cheng H, Rokhlin V and Yarvin N 1999 Nonlinear optimization, quadrature, and interpolation SIAM. J. Optim. 9 901-23
17. Karlin S and Studden W 1966 Tchebyshev Systems with Applications in Analysis and Statistics (New York: Wiley-Interscience)