Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Eigenfunctions corresponding to the band pass kernel with large center frequency

Author: A. J. Jerri
Journal: Quart. Appl. Math. 27 (1970), 523-525
DOI: https://doi.org/10.1090/qam/99808
MathSciNet review: QAM99808
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Abstract: It is known that the eigenfunctions of the finite integral equation with band limited difference kernel are the prolate spheroidal wave functions. When the band pass difference kernel was considered, no such well-known functions were found, except for the limiting case of zero band width. In this report we show that for large values of the center frequency the eigenfunctions corresponding to the band pass kernel are related to the prolate spheroidal functions.

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DOI: https://doi.org/10.1090/qam/99808
Article copyright: © Copyright 1970 American Mathematical Society

American Mathematical Society