Integral Transforms Generated by Green’s Functions
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 ; here we sketch just a few basic ideas.1
KeywordsIntegral Transform Eigenfunction Expansion Singular Problem Orthogonal Expansion Alternative Formula
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