TEMPERED BOEHMIANS AND ULTRADISTRIBUTIONS

Authors
MIKUSINSKI P
Citation
P. Mikusinski, TEMPERED BOEHMIANS AND ULTRADISTRIBUTIONS, Proceedings of the American Mathematical Society, 123(3), 1995, pp. 813-817
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
3
Year of publication
1995
Pages
813 - 817
Database
ISI
SICI code
0002-9939(1995)123:3<813:TBAU>2.0.ZU;2-P
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 Schwar tz distributions is introduced. This shows that the space of tempered Boehmians can be identified with the space xi(1) of ultradistributions .