Composition Theorems of Plancherel Type for Index Transforms
In previous Chapters 6, 7 we discussed some important properties of classical non-convolution index transforms based on the corresponding properties of Mellin convolution transforms. The hypergeometric type representations of these transforms, i.e., the representations by means of the Mellin-Barnes integrals, allow us to obtain new particular cases and to understand composition structure.
KeywordsCompact Support Inversion Formula Composition Theorem Parseval Equality Dual Formula
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