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Generalized convolutions for the Hankel transform and related integral operators
Author(s) -
Britvina Lyubov' E.
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510528
Subject(s) - mathematics , hankel transform , integral transform , factorization , construct (python library) , pure mathematics , integral equation , mathematical analysis , algebra over a field , fourier transform , algorithm , computer science , programming language
The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions for the Hankel transform H ν [ f ]( x ) with the following factorization properties:Conditions for the existence of the constructed generalized convolutions are found. The results of this research are applied to construct and study integral transforms related to these polyconvolutions. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)