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On the Fourier transform, Boehmians, and distributions

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Atanasiu D., Mikusiński P.

Colloquium Mathematicum

2007

tom 108

nr 2

263-276

We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.

A sheaf of Boehmians

100%

Beardsley J., Mikusiński P.

Annales Polonici Mathematici

2013

tom 107

nr 3

293-307

We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

2 Mikusiński P.

1 Atanasiu D.

1 Beardsley J.

1 2013

1 2007

Wyniki wyszukiwania

On the Fourier transform, Boehmians, and distributions

A sheaf of Boehmians