| Title:
|
Multipliers of temperate distributions (English) |
| Author:
|
Kucera, Jan |
| Author:
|
Bosch, Carlos |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
130 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
225-229 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Spaces $\mathcal{O}_q$, $q \in \mathbb{N}$, of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces. (English) |
| Keyword:
|
temperate distribution |
| Keyword:
|
multiplication operator |
| Keyword:
|
inductive limit of locally convex spaces |
| Keyword:
|
projective limit of locally convex spaces |
| Keyword:
|
generalized derivative |
| Keyword:
|
Sobolev derivative |
| MSC:
|
46A13 |
| MSC:
|
46F10 |
| idZBL:
|
Zbl 1113.46032 |
| idMR:
|
MR2164653 |
| DOI:
|
10.21136/MB.2005.134095 |
| . |
| Date available:
|
2009-09-24T22:20:31Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134095 |
| . |
| Reference:
|
[1] Schwartz, L.: Théorie des Distributions.Hermann, Paris, 1966. Zbl 0149.09501, MR 0209834 |
| Reference:
|
[2] Horváth, J.: Topological Vector Spaces and Distributions, Vol. 1.Addison-Wisley, Reading, 1966. |
| Reference:
|
[3] Kučera, J.: Fourier $L_2$-transform of distributions.Czechoslovak Math. J. 19 (1969), 143–153. MR 0240616 |
| Reference:
|
[4] Kučera, J.: On multipliers of temperate distributions.Czechoslovak Math. J. 21 (1971), 610–618. MR 0293391 |
| Reference:
|
[5] Kučera, J., McKennon, K.: Certain topologies on the space of temperate distributions and its multipliers.Indiana Univ. Math. 24 (1975), 773–775. MR 0358344, 10.1512/iumj.1975.24.24061 |
| Reference:
|
[6] Kučera, J.: Extension of the L. Schwartz space $\mathcal{O}_M$ of multipliers of temperate distributions.J. Math. Anal. Appl. 56 (1976), 368–372. MR 0417778, 10.1016/0022-247X(76)90049-4 |
| . |
