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Tempered Boehmians and Ultradistributions

Piotr Mikusiński
Proceedings of the American Mathematical Society
Vol. 123, No. 3 (Mar., 1995), pp. 813-817
DOI: 10.2307/2160805
Stable URL: http://www.jstor.org/stable/2160805
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Tempered Boehmians and Ultradistributions
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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 F' of ultradistributions.

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