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The unique solvability of certain multiplicative-convolution equations

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dc.contributor.author Salekhov L.
dc.contributor.author Salekhova L.
dc.date.accessioned 2018-09-18T20:17:02Z
dc.date.available 2018-09-18T20:17:02Z
dc.date.issued 2012
dc.identifier.issn 1066-369X
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/138280
dc.description.abstract In the class of distributions of slow (moderate) growth we consider a class of equations with operations of convolution and multiplication on the real axis. This class contains convolution equations, in particular, ordinary differential equations with constant coefficients, equations in finite differences, functional differential equations with constant coefficients and shifts, and pair differential Bequations. By virtue of the analytic representation theory for distributions of moderate growth (the Hilbert or Cauchy transform) the class of equations under consideration is equivalent to the class of boundary value problems of the Riemann type, where an equation corresponds to a boundary value condition in the sense of distributions of moderate growth. As a research technique we use the Fourier transform, the generalized Fourier transform (the Carleman-Fourier transform), and the theory of convolution equations in the space of distributions of moderate growth. © 2012. Allerton Press, Inc.
dc.relation.ispartofseries Russian Mathematics
dc.subject Analytical representation of distributions
dc.subject Carleman-Fourier transform
dc.subject Convolution algebras and moduli
dc.subject Convolution equation
dc.subject Distributions of slow (moderate) growth
dc.subject Fourier transform
dc.subject Space of convolutors for space of distributions of slow growth
dc.title The unique solvability of certain multiplicative-convolution equations
dc.type Article
dc.relation.ispartofseries-issue 5
dc.relation.ispartofseries-volume 56
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 57
dc.source.id SCOPUS1066369X-2012-56-5-SID84862655911


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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