The algebra of polynomials on the space of ultradifferentiable functions

Katarzyna Grasela

Banach Center Publications (2010)

  • Volume: 88, Issue: 1, page 133-143
  • ISSN: 0137-6934

Abstract

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We consider the space of ultradifferentiable functions with compact supports and the space of polynomials on . A description of the space ( ) of polynomial ultradistributions as a locally convex direct sum is given.

How to cite

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Katarzyna Grasela. "The algebra of polynomials on the space of ultradifferentiable functions." Banach Center Publications 88.1 (2010): 133-143. <http://eudml.org/doc/281679>.

@article{KatarzynaGrasela2010,
abstract = {We consider the space $ ^\{ℳ\}$ of ultradifferentiable functions with compact supports and the space of polynomials on $ ^\{ℳ\}$. A description of the space $( ^\{ℳ\})$ of polynomial ultradistributions as a locally convex direct sum is given.},
author = {Katarzyna Grasela},
journal = {Banach Center Publications},
keywords = {polynomial ultradistributions},
language = {eng},
number = {1},
pages = {133-143},
title = {The algebra of polynomials on the space of ultradifferentiable functions},
url = {http://eudml.org/doc/281679},
volume = {88},
year = {2010},
}

TY - JOUR
AU - Katarzyna Grasela
TI - The algebra of polynomials on the space of ultradifferentiable functions
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 133
EP - 143
AB - We consider the space $ ^{ℳ}$ of ultradifferentiable functions with compact supports and the space of polynomials on $ ^{ℳ}$. A description of the space $( ^{ℳ})$ of polynomial ultradistributions as a locally convex direct sum is given.
LA - eng
KW - polynomial ultradistributions
UR - http://eudml.org/doc/281679
ER -

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