Hankel convolution on distribution spaces with exponential growth
Jorge Betancor; Lourdes Rodríguez-Mesa
Studia Mathematica (1996)
- Volume: 121, Issue: 1, page 35-52
- ISSN: 0039-3223
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topBetancor, Jorge, and Rodríguez-Mesa, Lourdes. "Hankel convolution on distribution spaces with exponential growth." Studia Mathematica 121.1 (1996): 35-52. <http://eudml.org/doc/216341>.
@article{Betancor1996,
abstract = {We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.},
author = {Betancor, Jorge, Rodríguez-Mesa, Lourdes},
journal = {Studia Mathematica},
keywords = {Hankel transform; Hankel convolution; distribution; Bessel functions; Hankel transformation; spaces of distributions with exponential growth},
language = {eng},
number = {1},
pages = {35-52},
title = {Hankel convolution on distribution spaces with exponential growth},
url = {http://eudml.org/doc/216341},
volume = {121},
year = {1996},
}
TY - JOUR
AU - Betancor, Jorge
AU - Rodríguez-Mesa, Lourdes
TI - Hankel convolution on distribution spaces with exponential growth
JO - Studia Mathematica
PY - 1996
VL - 121
IS - 1
SP - 35
EP - 52
AB - We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.
LA - eng
KW - Hankel transform; Hankel convolution; distribution; Bessel functions; Hankel transformation; spaces of distributions with exponential growth
UR - http://eudml.org/doc/216341
ER -
References
top- [1] J. J. Betancor, Characterization of Hankel transformable generalized functions, Internat. J. Math. Math. Sci. 14 (1991), 269-274. Zbl0745.46044
- [2] J. J. Betancor and B. J. González, A convolution operation for a distributional Hankel transformation, Studia Math. 117 (1995), 57-72. Zbl0837.46029
- [3] J. J. Betancor and I. Marrero, Multipliers of Hankel transformable generalized functions, Comment. Math. Univ. Carolin. 33 (1992), 389-401. Zbl0801.46047
- [4] J. J. Betancor and I. Marrero, The Hankel convolution and the Zemanian spaces and , Math. Nachr. 160 (1993), 277-298. Zbl0796.46023
- [5] J. J. Betancor and I. Marrero, Structure and convergence in certain spaces of distributions and the generalized Hankel convolution, Math. Japon. 38 (1993), 1141-1155. Zbl0795.46023
- [6] J. J. Betancor and I. Marrero, Some properties of Hankel convolution operators, Canad. Math. Bull. 36 (1993), 398-406. Zbl0795.46024
- [7] J. J. Betancor and I. Marrero, On the topology of Hankel multipliers and of Hankel convolution operators, Rend. Circ. Mat. Palermo (2) 44 (1995), 469-478. Zbl0859.46026
- [8] J. J. Betancor and I. Marrero, Algebraic characterization of convolution and multiplication operators on Hankel-transformable function and distribution spaces, Rocky Mountain J. Math. 25 (1995), 1189-1204. Zbl0853.46034
- [9] F. M. Cholewinski, A Hankel convolution complex inversion theory, Mem. Amer. Math. Soc. 58 (1965). Zbl0137.30901
- [10] S. J. L. van Eijndhoven and M. J. Kerkhof, The Hankel transformation and spaces of type W, Reports on Appl. and Num. Analysis, 10, Dept. of Maths. and Comp. Sci., Eindhoven University of Technology, 1988.
- [11] D. T. Haimo, Integral equations associated with Hankel convolutions, Trans. Amer. Math. Soc. 116 (1965), 330-375. Zbl0135.33502
- [12] M. Hasumi, Note on the n-dimensional tempered ultradistributions, Tôhoku Math. J. 13 (1961), 94-104. Zbl0103.09201
- [13] I. I. Hirschman, Jr., Variation diminishing Hankel transforms, J. Anal. Math. 8 (1960/61), 307-336. Zbl0099.31301
- [14] E. L. Koh and C. K. Li, The Hankel transformation on and its representation, Proc. Amer. Math. Soc. 122 (1994), 1085-1094. Zbl0826.46033
- [15] E. L. Koh and A. H. Zemanian, The complex Hankel and I-transformations of generalized functions, SIAM J. Appl. Math. 16 (1968), 945-957. Zbl0167.41503
- [16] I. Marrero and J. J. Betancor, Hankel convolution of generalized functions, Rend. Mat. 15 (1995), 351-380. Zbl0833.46026
- [17] A. Pietsch, Nuclear Locally Convex Spaces, Springer, Berlin, 1972.
- [18] F. Treves, Topological Vector Spaces, Distributions and Kernels, Academic Press, New York, 1967. Zbl0171.10402
- [19] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, 1956.
- [20] K. Yoshinaga, On spaces of distributions of exponential growth, Bull. Kyushu Inst. Tech. Math. Natur. Sci. 6 (1960), 1-16. Zbl0166.39803
- [21] A. H. Zemanian, A distributional Hankel transform, SIAM J. Appl. Math. 14 (1966), 561-576. Zbl0154.13803
- [22] A. H. Zemanian, The Hankel transformation of certain distributions of rapid growth, ibid. 14 (1966), 678-690. Zbl0154.13804
- [23] A. H. Zemanian, Generalized Integral Transformations, Interscience Publ., New York, 1968.
- [24] Z. Zielezny, On the space of convolution operators in , Studia Math. 31 (1968), 111-124. Zbl0182.45603
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