Hankel integral transforms of a new space of generalized functions of slow growth

Javier A. Barrios; Jorge J. Betancor

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 4, page 675-690
  • ISSN: 0010-2628

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Barrios, Javier A., and Betancor, Jorge J.. "Hankel integral transforms of a new space of generalized functions of slow growth." Commentationes Mathematicae Universitatis Carolinae 030.4 (1989): 675-690. <http://eudml.org/doc/17779>.

@article{Barrios1989,
author = {Barrios, Javier A., Betancor, Jorge J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Hankel integral transformation; new space of generalized functions of slow growth; method of adjoints; Mellin integral transformation},
language = {eng},
number = {4},
pages = {675-690},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Hankel integral transforms of a new space of generalized functions of slow growth},
url = {http://eudml.org/doc/17779},
volume = {030},
year = {1989},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 4
SP - 675
EP - 690
LA - eng
KW - Hankel integral transformation; new space of generalized functions of slow growth; method of adjoints; Mellin integral transformation
UR - http://eudml.org/doc/17779
ER -

References

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  1. J. J. Betancor, Sobre una transformatión generalizada de Hankel, Rev. Colomb. de Mat. (to appear). MR0995696
  2. J. B. Conway, Functions of one complex variable, Springer Verlag, New York, 1973. (1973) Zbl0277.30001MR0447532
  3. L. S. Dube, J. N. Pandey, On the Hankel transforms of distributions, Tohoku Math. J. 27 (1975), 337-354. (1975) MR0450964
  4. A. Erdelyi (Ed.), Tables of integral transforms, Vol. 1 and 2, McGraw Hill, New York, 1954. (1954) Zbl0058.34103
  5. A. Erdelyi (Ed.), Higher transcendental functions, Vol 1, McGraw Hill, New York, 1953. (1953) Zbl0052.29502
  6. I. Fenyo, Hankel transformation verallgememerter funktionen, Mathematica 8 (1986), 235-242. (1986) MR0212513
  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. (1968) 
  8. W. Y. Lee, On Schwartz's Hankel transformation of certain spaces of distributions, SIAM J. Math. Anal. 6 (2) (1975), 427-432. (1975) MR0361766
  9. J. M. Méndez, A mixed Parseval equation and a generalized Hankel transformation, Proc. Amer. Math. Soc. 102 (3) (1988), 619-624. (1988) MR0928991
  10. J. M. Méndez, On the Bessel transformation of arbitrary order, Math. Nachr. (to appear). MR0952475
  11. A. Schuitman, On a certain test function space for Schwartz's Hankel transform, Delft Progr. Report 2 (1977), 193-206. (1977) Zbl0362.44003MR0447983
  12. L. Schwartz, Theorie des distributions, Vol. 1 and 2, Hermann, Paris, 1957-59. (1957) Zbl0089.09601MR0209834
  13. I. N. Sneddon, The use of integral transforms, Tata McGraw Hill, New Delhi, 1974. (1974) 
  14. E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press, Oxford, 1948. (1948) 
  15. F. Treves, Topological vector spaces, distributions and kernels, Academic Press, New York, 1967. (1967) Zbl0171.10402MR0225131
  16. A. H. Zemanian, A distributional Hankel transformation, SIAM J. Appl. Math. 14 (3) (1966), 561-576. (1966) Zbl0154.13803MR0201930
  17. A. H. Zemanian, The Hankel transformations of certain distributions of rapid growth, SIAM J. Appl. Math. 14 (4) (1966), 678-690. (1966) MR0211211
  18. A. H. Zemanian, Generalized integral transformations, Interscience Publishers, New York, 1968. (1968) Zbl0181.12701MR0423007

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