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.
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© 1994 Springer Science+Business Media Dordrecht
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Yakubovich, S.B., Luchko, Y.F. (1994). Convolution of the Kontorovich-Lebedev Transform. In: The Hypergeometric Approach to Integral Transforms and Convolutions. Mathematics and Its Applications, vol 287. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1196-6_15
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DOI: https://doi.org/10.1007/978-94-011-1196-6_15
Publisher Name: Springer, Dordrecht
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