Tempered Boehmians and ultradistributions-Reference-Cited by-同舟云学术

Tempered Boehmians and ultradistributions

Published:1995 Issue:3 Volume:123 Page:813-817
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mikusiński Piotr

Abstract

An extension of the Fourier transform which is a one-to-one continuous mapping from the space of tempered Boehmians onto the space of Schwartz distributions is introduced. This shows that the space of tempered Boehmians can be identified with the space Z ′ \mathcal {Z}’ of ultradistributions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-03/S0002-9939-1995-1223517-7/S0002-9939-1995-1223517-7.pdf

Reference11 articles.

1. Analytic functions and the Fourier transform of distributions. I;Ehrenpreis, Leon;Ann. of Math. (2),1956

2. Quotients de suites et leurs applications dans l’analyse fonctionnelle;Mikusiński, Jan;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1981

3. Convergence of Boehmians;Mikusiński, Piotr;Japan. J. Math. (N.S.),1983

4. Boehmians and generalized functions;Mikusiński, P.;Acta Math. Hungar.,1988

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