Some questions related to Fourier-Bessel expansions

  1. Betancor Pérez, Jorge Juan
Journal:
Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum

ISSN: 1130-4723

Year of publication: 2008

Volume: 20

Issue: 1-2

Pages: 9-24

Type: Article

More publications in: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum

Abstract

In this note we present sorne questions related to Fourier-Bessel expansions that, as far as we know, have not been studied. These questions are presented in two groups. The first part is concerned to harmonic analysis and the second one refers to holomorphic extensions of functions defined in (O, 1) and the image of LP(O, 1), 1 < p < oo, under the Bessel heat semigroups on (O, 1).