Tempered Boehmians and ultradistributions

Mikusiński, Piotr

doi:10.1090/S0002-9939-1995-1223517-7

Tempered Boehmians and ultradistributions
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by Piotr Mikusiński

Proc. Amer. Math. Soc. 123 (1995), 813-817

DOI: https://doi.org/10.1090/S0002-9939-1995-1223517-7

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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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