The structure of positive definite Fourier ultra-hyperfunctions

We explore the space of positive definite Fourier ultra-hyperfunctions. We show that a positive definite Fourier ultra-hyperfunction is a Fourier transform of an exponential growth positive measure and more particularly it is a tempered ultra-hyperfunction. §Dedicated to Richard Delanghe on the occa...

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Bibliographic Details
Published inComplex variables and elliptic equations Vol. 51; no. 5-6; pp. 611 - 624
Main Authors Yoshino, Kunio, Suwa¶, Masanori
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.05.2006
Subjects
AMS 2000 Mathematics Subject Classification: 46F15
Bochner-Schwartz theorem
Fourier ultra-hyperfunctions
Heat kernel
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Summary:We explore the space of positive definite Fourier ultra-hyperfunctions. We show that a positive definite Fourier ultra-hyperfunction is a Fourier transform of an exponential growth positive measure and more particularly it is a tempered ultra-hyperfunction. §Dedicated to Richard Delanghe on the occasion of his 65th birthday.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476930500483240