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Tempered Boehmians and ultradistributions

Author: Piotr Mikusiński
Journal: Proc. Amer. Math. Soc. 123 (1995), 813-817
MSC: Primary 44A40; Secondary 42B10, 46F05
MathSciNet review: 1223517
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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 $ \mathcal{Z}' $ of ultradistributions.

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Keywords: Boehmians, ultradistributions, Fourier transform
Article copyright: © Copyright 1995 American Mathematical Society

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