On the Fourier transform, Boehmians, and distributions

Dragu Atanasiu; Piotr Mikusiński

Colloquium Mathematicae (2007)

  • Volume: 108, Issue: 2, page 263-276
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Dragu Atanasiu, and Piotr Mikusiński. "On the Fourier transform, Boehmians, and distributions." Colloquium Mathematicae 108.2 (2007): 263-276. <http://eudml.org/doc/283437>.

@article{DraguAtanasiu2007,
abstract = {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.},
author = {Dragu Atanasiu, Piotr Mikusiński},
journal = {Colloquium Mathematicae},
keywords = {convolution quotients; Fourier transform},
language = {eng},
number = {2},
pages = {263-276},
title = {On the Fourier transform, Boehmians, and distributions},
url = {http://eudml.org/doc/283437},
volume = {108},
year = {2007},
}

TY - JOUR
AU - Dragu Atanasiu
AU - Piotr Mikusiński
TI - On the Fourier transform, Boehmians, and distributions
JO - Colloquium Mathematicae
PY - 2007
VL - 108
IS - 2
SP - 263
EP - 276
AB - 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.
LA - eng
KW - convolution quotients; Fourier transform
UR - http://eudml.org/doc/283437
ER -

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