Prolate spheroidal wavelets: Translation, convolution, and differentiation made easy

Journal of Fourier Analysis and Applications

Volumn 11, Issue 1, 2005, Pages 73-84

  Walter, Gilbert G ^a  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

Bandlimited; Multiresolution; Paley Wiener spaces; Prolate spheroidal wave functions; Wavelets

Indexed keywords

EID: 13844276742     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-004-3083-9     Document Type: Article

References (9)

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4. Slepian, D. and Pollak, H. O. (1961). Prolate spheroidal wave functions, Fourier analysis and uncertainty, I, Bell Syst. Tech. J. 40, 43-64.
5. Shim, H_T. and Volkmer, H. (1996). On Gibbs' phenomenon for wavelet expansions, J. Approx. Theory 84, 74-95.
6. Walter, G. G. (1992). Differential operators which commute with characteristic functions with applications to a lucky accident, Complex Var. Theory Appl. 18(1-2), 7-12.
7. Walter, G. G. and Shen, X. (2000), Wavelets and Other Orthogonal System, 2nd ed., CRC Press, Boca Raton, FL.
8. Walter, G. G. and Shen, X. (2004). Wavelet based on prolate spheroidal wave functions, J. Fourier Anal. Appl. 10(1), 1-26.
9. Walter, G. G. and Shen, X. (2003). Sampling with Prolate Spheroidal Functions, Samp. Theory Signal Image Process. Sampl. Theory Signal Image Process. 2, 25-52.