New spaces of functions and hyperfunctions for Hankel transforms and convolutions |
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Authors: | Jorge J Betancor Claudio Jerez Sandra M Molina Lourdes Rodríguez-Mesa |
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Institution: | 1.Universidad de la Laguna,La Laguna,Espa?a;2.Universidad Nacional de Mar del Plata,Mar del Plata,Argentina |
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Abstract: | In this paper we study the Hankel transformation and convolution on certain spaces
of entire functions and its dual
that is a space of hyperfunctions and contains the (even)-Schwartz space S
e
′. We prove that the Hankel transform is an automorphism of
. Also the Hankel convolutors of
are investigated.
Authors’ addresses: Jorge J. Betancor, Claudio Jerez and Lourdes Rodríguez-Mesa, Departamento de Análisis Matemático, Universidad
de la Laguna, Campus de Anchieta, Avda. Astrofísico Francisco Sánchez, s/n, 38271 La Laguna (Sta. Cruz de Tenerife), Espa?a;
Sandra M. Molina, Departamento de Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata,
Funes 3350 (7600), Mar del Plata, Argentina |
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Keywords: | 2000 Mathematics Subject Classification: 46F12 |
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