On polyconvolutions generated by the Hankel transform
type: Item
instance of: scholarly article
title: On polyconvolutions generated by the Hankel transform
zbMATH Open document ID: 1060.44004
published in: Mathematical Notes
publication date: 2004-12-07T00:00:00Z
review text: The author introduces the so-called polyconvolution operators, which are associated with the Hankel transform. The existence and factorization properties for these generalized convolutions are proved. It involves Hankel's transforms of different order. By using the differential properties for the Hankel transform the author constructs more convolutions of this type. As applications these operators are involved to solve new classes of convolution integral and integro-differential equations and also systems of such equations.
Mathematics Subject Classification ID: 44A35
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 44A20
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 2121439
zbMATH Keywords: generalized convolution
zbMATH Keywords: Hankel transform
zbMATH Keywords: Bessel function of the first order
zbMATH Keywords: differential operator
zbMATH Keywords: integro-differential equations
zbMATH Keywords: polyconvolution
zbMATH Keywords: factorization
zbMATH Keywords: systems
author: Lyubov E. Britvina
reviewed by: S. Yakubovich
MaRDI profile type: Publication
full work available at URL: b:matn.0000036738.90655.d5
OpenAlex ID: W1986745031
DOI: 10.1023/B:MATN.0000036738.90655.D5
description: scientific article; zbMATH DE number 2121439