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Composition Theorems of Plancherel Type for Index Transforms

  • Semen B. Yakubovich
  • Yurii F. Luchko
Part of the Mathematics and Its Applications book series (MAIA, volume 287)

Abstract

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.

Keywords

Compact Support Inversion Formula Composition Theorem Parseval Equality Dual Formula 
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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Semen B. Yakubovich
    • 1
  • Yurii F. Luchko
    • 1
  1. 1.Department of Mathematics and MechanicsBeylorussian State UniversityMinsk, ByelorussiaRussia

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