Distributions of Exponential Growth with Support in a Proper Convex Cone

In this paper we will characterize the spaces of distributions of exponential growth with support in a proper convex cone by the heat kernel method. As application we can obtain the Paley–Wiener theorem for distributions of exponential growth supported by a proper convex cone and Edge-of-the-Wedge t...

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Bibliographic Details
Published inPublications of the Research Institute for Mathematical Sciences Vol. 40; no. 2; pp. 565 - 603
Main Author Suwa, Masanori
Format Journal Article
LanguageEnglish
Published Zuerich, Switzerland European Mathematical Society Publishing House 2004
Subjects
Functional analysis
Integral transforms, operational calculus
Paley–Wiener theorem
Laplace transform
Distributions of exponential growth
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Summary:In this paper we will characterize the spaces of distributions of exponential growth with support in a proper convex cone by the heat kernel method. As application we can obtain the Paley–Wiener theorem for distributions of exponential growth supported by a proper convex cone and Edge-of-the-Wedge theorem for the space of the image by the Fourier–Laplace transform of them.
ISSN:0034-5318
1663-4926
DOI:10.2977/prims/1145475815