| Title:
|
The link between the kernel method and the method of adjoints for the generalized index $_2F_1$-transform (English) |
| Author:
|
González, Benito J. |
| Author:
|
Negrin, Emilio R. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
691-694 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note we show that the two definitions of generalized index ${ }_{2}F_{1}$-transform given in the previous works [1] and [2] agree for distributions of compact support. (English) |
| Keyword:
|
index transform |
| Keyword:
|
hypergeometric function |
| Keyword:
|
distributions of compact support |
| MSC:
|
44A15 |
| MSC:
|
46F12 |
| idZBL:
|
Zbl 0896.46028 |
| idMR:
|
MR1440701 |
| . |
| Date available:
|
2009-01-08T18:27:21Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118878 |
| . |
| Reference:
|
[1] Hayek N., González B.J.: The index $ _{2}F_{1}$-transform of generalized functions.Comment. Math. Univ. Carolinae 34.4 (1993), 657-671. MR 1263795 |
| Reference:
|
[2] Hayek N., González B.J.: On the distributional index $ _{2}F_{1}$-transform.Math. Nachr. 165 (1994), 15-24. MR 1261360 |
| Reference:
|
[3] Lisena B.: On the Generalized Kontorovich-Lebedev Transform.Rend. Math. Appl. (7) 9 (1989), 87-101. Zbl 0733.46019, MR 1044519 |
| Reference:
|
[4] Prudnikov A.P., Brychkov Y.A., Marichev O.I.: Integrals and Series.vol. 3, Gordon and Breach Science Publishers, New York, 1990. Zbl 1103.33300, MR 1054647 |
| Reference:
|
[5] Treves F.: Topological Vector Spaces, Distributions and Kernels.Academic Press, New York, 1967. Zbl 1111.46001, MR 0225131 |
| . |
