A Paley-Wiener theorem and Wiener-Hopf-type integral equations in Clifford analysis
type: Item
instance of: scholarly article
title: A Paley-Wiener theorem and Wiener-Hopf-type integral equations in Clifford analysis
zbMATH Open document ID: 0919.45002
DOI: 10.1007/BF03041924
author: Swanhild Bernstein
published in: Advances in Applied Clifford Algebras
publication date: 1999-08-08T00:00:00Z
review text: Some convolution-type integral equations over the real line can be treated efficiently by reducing them to the Hilbert (=Riemann) boundary value problems for holomorphic functions in one complex variable. The author extends the idea onto the multidimensional situation by establishing relations between the Wiener-Hopf-type integral equations and boundary values of monogenic (= hyperholomorphic = regular) functions of Clifford analysis. A Paley-Wiener theorem for such functions is proved, as well as a hypercomplex analog of the Krein factorization theorem.
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 30E25
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47A68
zbMATH DE Number: 1240577
zbMATH Keywords: Hilbert problem
zbMATH Keywords: Paley-Wiener theorem
zbMATH Keywords: Clifford analysis
zbMATH Keywords: convolution-type integral equations
zbMATH Keywords: Riemann boundary value problems
zbMATH Keywords: Wiener-Hopf type integral equations
zbMATH Keywords: Krein factorization
reviewed by: M. Shapiro
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1240577