Results 91 to 100 of about 184 (106)

Analytic fourier hyperfunctions

Applicable Analysis, 1999
It is proved first a generalized Painleve's theorem to be used to prove necessary and sufficient conditions that a Fourier hyperfunction is defined by a real analytic function. These results are applied to the Taylor asymptotic expansion for Fourier hyperfunctions.
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Wiener-Type Tauberian Theorems for Fourier Hyperfunctions

Zeitschrift für Analysis und ihre Anwendungen, 2002
Two Wiener-type Tauberian theorems concerning Fourier hyperfunctions are proved and commented. It is shownt that the shift asymptotics ( S -asymptotics) of a hyperfunction f is determined by the ordinary asymptotics of
Pilipović, Stevan, Stanković, Bogoljub
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Asymptotic Taylor expansion for Fourier hyperfunctions

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997
Summary: A necessary and sufficient condition is proved that the asymptotic Taylor expansion for a Fourier hyperfunction converges in the space of Fourier hyperfunctions.
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Mehler kernel approach to Fourier ultra-hyperfunctions

Complex Variables and Elliptic Equations, 2022
Masanori Suwa
exaly  

Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions

Functiones Et Approximatio, Commentarii Mathematici, 2021
Karsten Kruse
exaly  

Quasiasymptotic behavior of Fourier hyperfunctions

Theoretical and Mathematical Physics, 1980
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Fourier ultra-hyperfunctions in the Euclidean \(n\)-space

Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics = 東京大学理学部紀要. 第1類A, 数学, 1973
Park, Young Sik, Morimoto, Mitsuo
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Extension of Sato's hyperfunctions

Functiones Et Approximatio, Commentarii Mathematici, 2011
Michael Langenbruch
exaly  

A proof of Paley–Wiener theorem for Fourier hyperfunctions with support in a proper convex cone by the heat kernel method

Complex Variables and Elliptic Equations, 2008
Masanori Suwa
exaly  

Theory of fourier hyperfunctions and its applications to quantum field theory

Letters in Mathematical Physics, 1976
S Nagamachi
exaly