Hankel convolution on distribution spaces with exponential growth

• Autorzy: Jorge J. Betancor , Lourdes Rodríguez-Mesa
• Języki publikacji: EN

Abstrakty

EN

We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.

Słowa kluczowe

EN

Hankel transform; Hankel convolution; distribution; Bessel functions

Kategorie tematyczne

• 46F12: Integral transforms in distribution spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1996
• Tom: 121
• Numer: 1
• Strony: 35-52

Daty

wydano

1996

otrzymano

1995-11-20

poprawiono

1996-05-06

Twórcy

autor

Jorge J. Betancor

• Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Islas Canarias, Spain

autor

Lourdes Rodríguez-Mesa

• Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Islas Canarias, Spain

Bibliografia

• [1] J. J. Betancor, Characterization of Hankel transformable generalized functions, Internat. J. Math. Math. Sci. 14 (1991), 269-274.
• [2] J. J. Betancor and B. J. González, A convolution operation for a distributional Hankel transformation, Studia Math. 117 (1995), 57-72.
• [3] J. J. Betancor and I. Marrero, Multipliers of Hankel transformable generalized functions, Comment. Math. Univ. Carolin. 33 (1992), 389-401.
• [4] J. J. Betancor and I. Marrero, The Hankel convolution and the Zemanian spaces $β_μ$ and $β_μ'$, Math. Nachr. 160 (1993), 277-298.
• [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.
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• [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.
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