A Numerical Method for Determining the Eigenvalues and Eigenfunctions of Analytic Kernels

Previous article Next article A Numerical Method for Determining the Eigenvalues and Eigenfunctions of Analytic KernelsDavid SlepianDavid Slepianhttps://doi.org/10.1137/0705047PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] D. Slepian and , H. O. Pollak, Prolate spheroidal wave functions, Fourier analysis and uncertainty. I, Bell System Tech. J., 40 (1961), 43–63 MR0140732 0184.08601 CrossrefISIGoogle Scholar[2] David Slepian and , Estelle Sonnenblick, Eigenvalues associated with prolate spheroidal wave functions of zero order, Bell System Tech. J., 44 (1965), 1745–1759 MR0183103 0135.37701 CrossrefISIGoogle Scholar[3] J. A. Morrison, On the eigenfunctions corresponding to the bandpass kernel, in the case of degeneracy, Quart. Appl. Math., 21 (1963), 13–19 MR0145306 0126.31502 CrossrefGoogle Scholar[4] Carson Flammer, Spheroidal wave functions, Stanford University Press, Stanford, California, 1957ix+220 MR0089520 0078.05703 Google Scholar[5] C. Chang and , C. Yeh, Tables of radial prolate spheroidal functions, USCEE Tech. Rep., 166, University of Southern California, Los Angeles, 1966 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails The spectral properties of Vandermonde matrices with clustered nodesLinear Algebra and its Applications, Vol. 609 Cross Ref PAPR analysis of wavelet based multitaper GFDM systemAEU - International Journal of Electronics and Communications, Vol. 76 Cross Ref The Gated Infinite-Server Queue: Uniform Service TimesSid Browne, E. G. Coffman, Jr., E. N. Gilbert, and Paul E. Wright1 August 2006 | SIAM Journal on Applied Mathematics, Vol. 52, No. 6AbstractPDF (983 KB)Asymptotic Properties of Eigenvalues of Integral EquationsCharles Knessl and Joseph B. Keller5 July 2006 | SIAM Journal on Applied Mathematics, Vol. 51, No. 1AbstractPDF (1565 KB)Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case29 July 2013 | Bell System Technical Journal, Vol. 57, No. 5 Cross Ref Volume 5, Issue 3| 1968SIAM Journal on Numerical Analysis History Submitted:04 April 1967Published online:14 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0705047Article page range:pp. 586-600ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics