Colombeau product of currents

Jiří Jelínek

Commentationes Mathematicae Universitatis Carolinae (2005)

  • Volume: 46, Issue: 3, page 437-462
  • ISSN: 0010-2628

Abstract

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Colombeau product of de Rham's currents coincides with generalized Itano one. Sufficient conditions are found under which it is diffeomorphism invariant.

How to cite

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Jelínek, Jiří. "Colombeau product of currents." Commentationes Mathematicae Universitatis Carolinae 46.3 (2005): 437-462. <http://eudml.org/doc/249550>.

@article{Jelínek2005,
abstract = {Colombeau product of de Rham's currents coincides with generalized Itano one. Sufficient conditions are found under which it is diffeomorphism invariant.},
author = {Jelínek, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {de Rham's current; full Colombeau algebra; de Rham's current; full Colombeau algebra},
language = {eng},
number = {3},
pages = {437-462},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Colombeau product of currents},
url = {http://eudml.org/doc/249550},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Jelínek, Jiří
TI - Colombeau product of currents
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 3
SP - 437
EP - 462
AB - Colombeau product of de Rham's currents coincides with generalized Itano one. Sufficient conditions are found under which it is diffeomorphism invariant.
LA - eng
KW - de Rham's current; full Colombeau algebra; de Rham's current; full Colombeau algebra
UR - http://eudml.org/doc/249550
ER -

References

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  6. Grosser M., Farkas E., Kunzinger M., Steinbauer R., On the foundations of nonlinear generalized functions I, II, Mem. Amer. Math. Soc. 153 729 (2001), 93 pp. (2001) Zbl0985.46026MR1848157
  7. Grosser M., Kunzinger M., Steinbauer R., Vickers J.A., A global theory of algebras of generalized functions, Adv. Math. 166 (2002), 50-72. (2002) Zbl0995.46054MR1882858
  8. Grosser M., Kunzinger M., Oberguggenberger M., Steinbauer R., Geometric Theory of Generalized Functions with Applications to General Relativity, Kluwer Academic Publishers, Dordrecht (2001). (2001) Zbl0998.46015MR1883263
  9. Itano M., On fixations and reciprocal images of currents, J. Sci. Hiroshima Univ. Ser. A-1 31 (1967), 173-190. (1967) Zbl0165.47503MR0231195
  10. Jelínek J., Characterization of the Colombeau product of distributions, Comment. Math. Univ. Carolinae 27.2 (1986), 377-394. (1986) MR0857556
  11. Jelínek J., An intrinsic definition of the Colombeau generalized functions, Comment. Math. Univ. Carolinae 40.1 (1999), 71-95. (1999) MR1715203
  12. Jelínek J., On introduction of two diffeomorphism invariant Colombeau algebras, Comment. Math. Univ. Carolinae 45.4 (2004), 615-632. (2004) Zbl1103.46020MR2103080
  13. Jelínek J., Equality of two diffeomorphism invariant Colombeau algebras, Comment. Math. Univ. Carolinae 45.4 (2004), 633-662. (2004) Zbl1103.46021MR2103081
  14. Lojasiewicz S., Sur la fixation des variables dans une distribuion, Studia Math. 17 (1958), 1-64. (1958) MR0107167
  15. Schwartz L., Théorie des Distributions, Hermann, Paris (1966). (1966) Zbl0149.09501MR0209834

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