| Title:
|
Convolution operators on Kucera-type spaces for the Hankel transformation (English) |
| Author:
|
Betancor, J. J. |
| Author:
|
Marrero, I. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
47-72 |
| . |
| Category:
|
math |
| . |
| MSC:
|
44A15 |
| MSC:
|
44A35 |
| MSC:
|
46F12 |
| MSC:
|
47G10 |
| idZBL:
|
Zbl 0903.46038 |
| idMR:
|
MR1435605 |
| . |
| Date available:
|
2009-09-24T10:02:23Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127338 |
| . |
| Reference:
|
[1] J. J. Betancor and I. Marrero: Multipliers of Hankel transformable generalized functions.Comment. Math. Univ. Carolin. 33 (1992), 389–401. MR 1209282 |
| Reference:
|
[2] J. J. Betancor and I. Marrero: The Hankel convolution and the Zemanian spaces $B_{\mu }$ and $B^{\prime }_{\mu }$.Math. Nachr. 160 (1993), 277–298. MR 1245003, 10.1002/mana.3211600113 |
| Reference:
|
[3] J. J. Betancor and I. Marrero: Structure and convergence in certain spaces of distributions and the generalized Hankel convolution.Math. Japon. 38(6) (1993), 1141–1155. MR 1250341 |
| Reference:
|
[4] J. J. Betancor and I. Marrero: Some properties of Hankel convolution operators.Canad. Math. Bull. 36 (1993), 398–406. MR 1245312, 10.4153/CMB-1993-054-8 |
| Reference:
|
[5] J. J. Betancor and I. Marrero: A Hilbert-space approach to Hankel-transformable distributions.Appl. Anal. 52 (1994), 103–124. MR 1380331, 10.1080/00036819408840228 |
| Reference:
|
[6] J. J. Betancor and I. Marrero: Multipliers and convolution operators on Hankel transformable Hilbert spaces.Rend. Sem. Mat. Univ. Pol. Torino 51(2) (1993), 119–137. MR 1289383 |
| Reference:
|
[7] J Kucera: Convolution of temperate distributions.Publ. Math. 33 (1986), 323–327. Zbl 0627.46046, MR 0883761 |
| Reference:
|
[8] J. Kucera and K. McKennon: The topology on certain spaces of multipliers of temperate distributions.Rocky Mountain J. Math. 7 (1977), 377–383. MR 0440362, 10.1216/RMJ-1977-7-2-377 |
| Reference:
|
[9] J. Kucera and K. McKennon: Continuity of multiplication of distributions.Internat. J. Math. Sci. 4 (1981), 819–822. MR 0663663, 10.1155/S016117128100063X |
| Reference:
|
[10] I. Marrero and J. J. Betancor: Hankel convolution of generalized functions.Rend. Mat. Appl. 15 (1995), 351–380. MR 1362778 |
| Reference:
|
[11] K. McKennon: The multiplication functions of Kucera.Czechoslovak Math. J. 29 (1979), 169–177. Zbl 0431.46022, MR 0529505 |
| Reference:
|
[12] H. H. Schaefer: Topological Vector Spaces.Grad. Texts in Math., No. 3 (3rd printing), Springer, Berlin, 1971. Zbl 0217.16002, MR 0342978 |
| Reference:
|
[13] F. Tréves: Topological Vector Spaces, Distributions, and Kernels.Academic Press, Now York, 1967. MR 0225131 |
| Reference:
|
[14] A. H. Zemanian: The Hankel transformation of certain distributions of rapid growth.SIAM J. Appl. Math. 14 (1966), 678–690. Zbl 0154.13804, MR 0211211, 10.1137/0114056 |
| Reference:
|
[15] A. H. Zemanian: Generalized Integral Transformations.Interscience, New York, 1968. Zbl 0181.12701, MR 0423007 |
| . |
