Integral Transforms Generated by Green’s Functions

  • Brian Davies
Part of the Texts in Applied Mathematics book series (TAM, volume 41)


The integral transforms treated in the foregoing chapters had independent origins, mainly in classical work from the nineteenth century. There is, however, a unifying thread in that they are all related to the more modern concepts of orthogonal expansions, self-adjoint operators, and the related theory of Green’s functions. This viewpoint was the subject of a classic book by Titchmarsh [65]; here we sketch just a few basic ideas.1


Integral Transform Eigenfunction Expansion Singular Problem Orthogonal Expansion Alternative Formula 
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  1. 6.
    R.D. Turner, Q. Appl. Maths., 14(1956),63MATHGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Brian Davies
    • 1
  1. 1.Mathematics Department, School of Mathematical SciencesAustralian National UniversityCanberraAustralia

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