| Title:
|
A contribution to the equivalence results for the product of distributions (English) |
| Author:
|
Jelínek, Jiří |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
263-266 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Products {$ [S]\cdot [T] $} and {$ [S]\cdot T $}, defined by model delta-nets, are equivalent. (English) |
| Keyword:
|
distribution |
| Keyword:
|
model delta-sequence |
| Keyword:
|
model delta-net |
| MSC:
|
46F10 |
| idZBL:
|
Zbl 0816.46028 |
| idMR:
|
MR1286573 |
| . |
| Date available:
|
2009-01-08T18:10:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118665 |
| . |
| Reference:
|
[1] Colombeau J.F.: Multiplication of distributions.Lecture Notes in Math. 1532 (1993). MR 1222643 |
| Reference:
|
[2] Itano M.: On the theory of multiplicative products of distributions.J. Sci. Hiroshima Univ. Ser. A-I 30 (1966), 151-181. MR 0209835 |
| Reference:
|
[3] Kamiński A.: Convolution, product and Fourier transform of distributions.Stud. Math. 74 (1982), 83-96. MR 0675434 |
| Reference:
|
[4] Oberguggenberger M.: Products of distributions, nonstandard methods.Z. Anal. Anw. 7.4 (1988), 347-365. Zbl 0662.46048, MR 0963445 |
| Reference:
|
[5] Oberguggenberger M.: Multiplication of Distributions and Applications to Partial Differential Equations.Institut für Mathematik und Geometrie, Universität Innsbruck, Austria, 1992, p. 312. Zbl 0818.46036, MR 1187755 |
| Reference:
|
[6] Pietsch A.: Nukleare lokalkonvexe Räume.Akademie-Verlag Berlin, 1965, p. 266. Zbl 0184.14602, MR 0181888 |
| Reference:
|
[7] Schwartz L.: Théorie des distributions.Herman, Paris, 1957. Zbl 0962.46025, MR 0209834 |
| Reference:
|
[8] Wawak R.: On the Colombeau product of distributions.Proceedings Conf. Katowice, June 1988. |
| . |
