| Title:
|
Hankel integral transforms of a new space of generalized functions of slow growth (English) |
| Author:
|
Barrios, Javier A. |
| Author:
|
Betancor, Jorge J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
675-690 |
| . |
| Category:
|
math |
| . |
| MSC:
|
44A15 |
| MSC:
|
46F12 |
| idZBL:
|
Zbl 0736.46034 |
| idMR:
|
MR1045896 |
| . |
| Date available:
|
2008-06-05T21:40:32Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106788 |
| . |
| Reference:
|
[1] J. J. Betancor: Sobre una transformatión generalizada de Hankel.Rev. Colomb. de Mat. (to appear). MR 0995696 |
| Reference:
|
[2] J. B. Conway: Functions of one complex variable.Springer Verlag, New York, 1973. Zbl 0277.30001, MR 0447532 |
| Reference:
|
[3] L. S. Dube, J. N. Pandey: On the Hankel transforms of distributions.Tohoku Math. J. 27 (1975), 337-354. MR 0450964 |
| Reference:
|
[4] A. Erdelyi (Ed.): Tables of integral transforms.Vol. 1 and 2, McGraw Hill, New York, 1954. Zbl 0058.34103 |
| Reference:
|
[5] A. Erdelyi (Ed.): Higher transcendental functions.Vol 1, McGraw Hill, New York, 1953. Zbl 0052.29502 |
| Reference:
|
[6] I. Fenyo: Hankel transformation verallgememerter funktionen.Mathematica 8 (1986), 235-242. MR 0212513 |
| Reference:
|
[7] E. L. Koh A. H. Zemanian: The complex Hankel and I-transformations of generalized functions.SIAM J. Appl. Math. 16 (5) (1968), 945-957. |
| Reference:
|
[8] W. Y. Lee: On Schwartz's Hankel transformation of certain spaces of distributions.SIAM J. Math. Anal. 6 (2) (1975), 427-432. MR 0361766 |
| Reference:
|
[9] J. M. Méndez: A mixed Parseval equation and a generalized Hankel transformation.Proc. Amer. Math. Soc. 102 (3) (1988), 619-624. MR 0928991 |
| Reference:
|
[10] J. M. Méndez: On the Bessel transformation of arbitrary order.Math. Nachr. (to appear). MR 0952475 |
| Reference:
|
[11] A. Schuitman: On a certain test function space for Schwartz's Hankel transform.Delft Progr. Report 2 (1977), 193-206. Zbl 0362.44003, MR 0447983 |
| Reference:
|
[12] L. Schwartz: Theorie des distributions.Vol. 1 and 2, Hermann, Paris, 1957-59. Zbl 0089.09601, MR 0209834 |
| Reference:
|
[13] I. N. Sneddon: The use of integral transforms.Tata McGraw Hill, New Delhi, 1974. |
| Reference:
|
[14] E. C. Titchmarsh: Introduction to the theory of Fourier integrals.Oxford Univ. Press, Oxford, 1948. |
| Reference:
|
[15] F. Treves: Topological vector spaces, distributions and kernels.Academic Press, New York, 1967. Zbl 0171.10402, MR 0225131 |
| Reference:
|
[16] A. H. Zemanian: A distributional Hankel transformation.SIAM J. Appl. Math. 14 (3) (1966), 561-576. Zbl 0154.13803, MR 0201930 |
| Reference:
|
[17] A. H. Zemanian: The Hankel transformations of certain distributions of rapid growth.SIAM J. Appl. Math. 14 (4) (1966), 678-690. MR 0211211 |
| Reference:
|
[18] A. H. Zemanian: Generalized integral transformations.Interscience Publishers, New York, 1968. Zbl 0181.12701, MR 0423007 |
| . |
