Abstract:The goal of this paper is to introduce the notion of polyconvolution for
Fourier-cosine, Laplace integral operators, and its applications. The
structure of this polyconvolution operator and associated integral
transforms is investigated in detail. The Watson-type theorem is given,
to establish necessary and sufficient conditions for this operator to be
unitary on L 2 ( R ) , and to get its inverse represented in the
conjugate symmetric form. The correlation between the existence of
polyconvolution with some we… Show more
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