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Domains of holomorphy for Fourier transforms of solutions to discrete convolution equations
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Visual Information and Interaction. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis and Human-Computer Interaction.
2017 (English)In: Science China Mathematics, ISSN 1674-7283, Vol. 60, no 6, 1005-1018 p.Article in journal (Refereed) Published
Abstract [en]

We study solutions to convolution equations for functions with discrete support in Rn, a special case being functions with support in the integer points. The Fourier transform of a solution can be extended to a holomorphic function in some domains in Cn, and we determine possible domains in terms of the properties of the convolution operator.

Place, publisher, year, edition, pages
2017. Vol. 60, no 6, 1005-1018 p.
Keyword [en]
domain of holomorphy, discrete convolution, Fourier transformation
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-316321DOI: 10.1007/s11425-015-9029-0ISI: 000400869600007OAI: oai:DiVA.org:uu-316321DiVA: diva2:1077693
Projects
Kiselman 11.7
Available from: 2017-03-02 Created: 2017-02-28 Last updated: 2017-07-07Bibliographically approved

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Kiselman, Christer O.

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