• DocumentCode
    946663
  • Title

    Asymptotic eigenfunctions and eigenvalues of a homogeneous integral equation

  • Author

    Capon, Jack

  • Volume
    8
  • Issue
    1
  • fYear
    1962
  • fDate
    1/1/1962 12:00:00 AM
  • Firstpage
    2
  • Lastpage
    4
  • Abstract
    The eigenfunctions and eigenvalues of a certain integral equation are of importance in the Karhunen-Loéve expansion of second-order stationary random functions. In this note the asymptotic eigenfunctions and eigenvalues of this integral equation are derived for the case where the kernel is the Fourier transform of a rational function of \\omega ^2 .
  • Keywords
    Eigenvalues; Integral equations; Karhunen-Loeve transforms; Eigenvalues and eigenfunctions; Fourier transforms; Information theory; Integral equations; Kernel; Laplace equations; Parameter estimation; Personal communication networks; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IRE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-1000
  • Type

    jour

  • DOI
    10.1109/TIT.1962.1057679
  • Filename
    1057679
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=946663