A sheaf of Boehmians

Jonathan Beardsley; Piotr Mikusiński

Annales Polonici Mathematici (2013)

  • Volume: 107, Issue: 3, page 293-307
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Jonathan Beardsley, and Piotr Mikusiński. "A sheaf of Boehmians." Annales Polonici Mathematici 107.3 (2013): 293-307. <http://eudml.org/doc/281087>.

@article{JonathanBeardsley2013,
abstract = {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.},
author = {Jonathan Beardsley, Piotr Mikusiński},
journal = {Annales Polonici Mathematici},
keywords = {Boehmians; convolution; convolution quotient; sheaf; convergence},
language = {eng},
number = {3},
pages = {293-307},
title = {A sheaf of Boehmians},
url = {http://eudml.org/doc/281087},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Jonathan Beardsley
AU - Piotr Mikusiński
TI - A sheaf of Boehmians
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 3
SP - 293
EP - 307
AB - 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.
LA - eng
KW - Boehmians; convolution; convolution quotient; sheaf; convergence
UR - http://eudml.org/doc/281087
ER -

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