Hankel integral transforms of a new space of generalized functions of slow growth
Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 4, pp. 675-690 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 44A15, 46F12
@article{CMUC_1989_30_4_a7,
     author = {Barrios, Javier A. and Betancor, Jorge J.},
     title = {Hankel integral transforms of a new space of generalized functions of slow growth},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {675--690},
     year = {1989},
     volume = {30},
     number = {4},
     mrnumber = {1045896},
     zbl = {0736.46034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1989_30_4_a7/}
}
TY  - JOUR
AU  - Barrios, Javier A.
AU  - Betancor, Jorge J.
TI  - Hankel integral transforms of a new space of generalized functions of slow growth
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1989
SP  - 675
EP  - 690
VL  - 30
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1989_30_4_a7/
LA  - en
ID  - CMUC_1989_30_4_a7
ER  - 
%0 Journal Article
%A Barrios, Javier A.
%A Betancor, Jorge J.
%T Hankel integral transforms of a new space of generalized functions of slow growth
%J Commentationes Mathematicae Universitatis Carolinae
%D 1989
%P 675-690
%V 30
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1989_30_4_a7/
%G en
%F CMUC_1989_30_4_a7
Barrios, Javier A.; Betancor, Jorge J. Hankel integral transforms of a new space of generalized functions of slow growth. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 4, pp. 675-690. http://geodesic.mathdoc.fr/item/CMUC_1989_30_4_a7/

[1] J. J. Betancor: Sobre una transformatión generalizada de Hankel. Rev. Colomb. de Mat. (to appear). | MR

[2] J. B. Conway: Functions of one complex variable. Springer Verlag, New York, 1973. | MR | Zbl

[3] L. S. Dube, J. N. Pandey: On the Hankel transforms of distributions. Tohoku Math. J. 27 (1975), 337-354. | MR

[4] A. Erdelyi (Ed.): Tables of integral transforms. Vol. 1 and 2, McGraw Hill, New York, 1954. | Zbl

[5] A. Erdelyi (Ed.): Higher transcendental functions. Vol 1, McGraw Hill, New York, 1953. | Zbl

[6] I. Fenyo: Hankel transformation verallgememerter funktionen. Mathematica 8 (1986), 235-242. | MR

[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.

[8] W. Y. Lee: On Schwartz's Hankel transformation of certain spaces of distributions. SIAM J. Math. Anal. 6 (2) (1975), 427-432. | MR

[9] J. M. Méndez: A mixed Parseval equation and a generalized Hankel transformation. Proc. Amer. Math. Soc. 102 (3) (1988), 619-624. | MR

[10] J. M. Méndez: On the Bessel transformation of arbitrary order. Math. Nachr. (to appear). | MR

[11] A. Schuitman: On a certain test function space for Schwartz's Hankel transform. Delft Progr. Report 2 (1977), 193-206. | MR | Zbl

[12] L. Schwartz: Theorie des distributions. Vol. 1 and 2, Hermann, Paris, 1957-59. | MR | Zbl

[13] I. N. Sneddon: The use of integral transforms. Tata McGraw Hill, New Delhi, 1974.

[14] E. C. Titchmarsh: Introduction to the theory of Fourier integrals. Oxford Univ. Press, Oxford, 1948.

[15] F. Treves: Topological vector spaces, distributions and kernels. Academic Press, New York, 1967. | MR | Zbl

[16] A. H. Zemanian: A distributional Hankel transformation. SIAM J. Appl. Math. 14 (3) (1966), 561-576. | MR | Zbl

[17] A. H. Zemanian: The Hankel transformations of certain distributions of rapid growth. SIAM J. Appl. Math. 14 (4) (1966), 678-690. | MR

[18] A. H. Zemanian: Generalized integral transformations. Interscience Publishers, New York, 1968. | MR | Zbl