Generalized convolutions for the Hankel transform and related integral operators | Zendy

Britvina Lyubov' E. | Zendy

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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)

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