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Convolution of the Kontorovich-Lebedev Transform

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

Abstract

In the following Chapters 15–16, we will study in detail the convolutions for the index transforms mentioned in Chapters 6–10. In spite of their non-convolution structure, these transforms have convolutions based on the convolution for the Kontorovich-Lebedev transform which were first announced as an example in V.A. Kakichev (1967) and investigated in detail in S.B. Yakubovich (1987a), (1987b). Related convolutions have been investigated in H.-J. Glaeske (1981)–(1987) and H.-J. Glaeske and A. Heβ (1986)–(1988) in the spaces of generalized functions.

Keywords

Asymptotic Formula Maximal Ideal Weighted Space Fubini Theorem Macdonald Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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