A space of generalized distributions

L. Loura

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 543-558
  • ISSN: 0011-4642

Abstract

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In this paper we use a duality method to introduce a new space of generalized distributions. This method is exactly the same introduced by Schwartz for the distribution theory. Our space of generalized distributions contains all the Schwartz distributions and all the multipole series of physicists and is, in a certain sense, the smallest space containing all these series.

How to cite

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Loura, L.. "A space of generalized distributions." Czechoslovak Mathematical Journal 56.2 (2006): 543-558. <http://eudml.org/doc/31047>.

@article{Loura2006,
abstract = {In this paper we use a duality method to introduce a new space of generalized distributions. This method is exactly the same introduced by Schwartz for the distribution theory. Our space of generalized distributions contains all the Schwartz distributions and all the multipole series of physicists and is, in a certain sense, the smallest space containing all these series.},
author = {Loura, L.},
journal = {Czechoslovak Mathematical Journal},
keywords = {distributions; generalized distributions; multipole series; distributions; generalized distributions; multipole series},
language = {eng},
number = {2},
pages = {543-558},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A space of generalized distributions},
url = {http://eudml.org/doc/31047},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Loura, L.
TI - A space of generalized distributions
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 543
EP - 558
AB - In this paper we use a duality method to introduce a new space of generalized distributions. This method is exactly the same introduced by Schwartz for the distribution theory. Our space of generalized distributions contains all the Schwartz distributions and all the multipole series of physicists and is, in a certain sense, the smallest space containing all these series.
LA - eng
KW - distributions; generalized distributions; multipole series; distributions; generalized distributions; multipole series
UR - http://eudml.org/doc/31047
ER -

References

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