Pointwise convergent expansions in q-Fourier-Bessel series

We define q-analogues of Fourier-Bessel series, by means of complete q- orthogonal systems constructed with the third Jackson q-Bessel function. Sufficient conditions for pointwise convergence of these series are obtained, in terms of a general convergence principle valid for other Fourier series on...

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Bibliographic Details
Main Author: Abreu, L. D. (author)
Other Authors: Alvarez-Nodarse, R. (author), Cardoso, J. L. (author)
Format: other
Language:eng
Published: 2006
Subjects:
q-Fourier series
Third Jackson q-Bessel function
Online Access:http://hdl.handle.net/10316/11343
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11343
Description
Summary:We define q-analogues of Fourier-Bessel series, by means of complete q- orthogonal systems constructed with the third Jackson q-Bessel function. Sufficient conditions for pointwise convergence of these series are obtained, in terms of a general convergence principle valid for other Fourier series on grids defined over numerable sets. The results are illustrated with specific examples of developments in q-Fourier-Bessel series.

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