A contribution to the equivalence results for the product of distributions

Jiří Jelínek

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 2, page 263-266
  • ISSN: 0010-2628

Abstract

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Products and , defined by model delta-nets, are equivalent.

How to cite

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Jelínek, Jiří. "A contribution to the equivalence results for the product of distributions." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 263-266. <http://eudml.org/doc/247597>.

@article{Jelínek1994,
abstract = {Products $ [S]\cdot [T] $ and $ [S]\cdot T $, defined by model delta-nets, are equivalent.},
author = {Jelínek, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {distribution; model delta-sequence; model delta-net; product of distributions; model delta-nets},
language = {eng},
number = {2},
pages = {263-266},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A contribution to the equivalence results for the product of distributions},
url = {http://eudml.org/doc/247597},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Jelínek, Jiří
TI - A contribution to the equivalence results for the product of distributions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 263
EP - 266
AB - Products $ [S]\cdot [T] $ and $ [S]\cdot T $, defined by model delta-nets, are equivalent.
LA - eng
KW - distribution; model delta-sequence; model delta-net; product of distributions; model delta-nets
UR - http://eudml.org/doc/247597
ER -

References

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  1. Colombeau J.F., Multiplication of distributions, Lecture Notes in Math. 1532 (1993). (1993) MR1222643
  2. Itano M., On the theory of multiplicative products of distributions, J. Sci. Hiroshima Univ. Ser. A-I 30 (1966), 151-181. (1966) MR0209835
  3. Kamiński A., Convolution, product and Fourier transform of distributions, Stud. Math. 74 (1982), 83-96. (1982) MR0675434
  4. Oberguggenberger M., Products of distributions, nonstandard methods, Z. Anal. Anw. 7.4 (1988), 347-365. (1988) Zbl0662.46048MR0963445
  5. Oberguggenberger M., Multiplication of Distributions and Applications to Partial Differential Equations, Institut für Mathematik und Geometrie, Universität Innsbruck, Austria, 1992, p. 312. Zbl0818.46036MR1187755
  6. Pietsch A., Nukleare lokalkonvexe Räume, Akademie-Verlag Berlin, 1965, p. 266. Zbl0184.14602MR0181888
  7. Schwartz L., Théorie des distributions, Herman, Paris, 1957. Zbl0962.46025MR0209834
  8. Wawak R., On the Colombeau product of distributions, Proceedings Conf. Katowice, June 1988. 

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