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On Basic Fourier-Bessel Expansions. Some related issues.

We will present a summary of the latest developments with respect to expansions involving the Third Jackson q-Bessel function (or, Hahn-Exton q-Bessel function), with special emphasis regarding Fourier expansions related to some basic functions which are q-analogues of the classical trigonometric and Bessel functions. Topics such as, properties of the analogues of the Lebesgue spaces associated with the Jackson q-integral and the Jackson-Thomae (or, Jackson-Nörlund) (q,w)-integral, as well as Orthogonality, Completeness, Convergence and the Riemann-Lebesgue behavior of the Fourier coefficients, will be detailed.

Date:  2018-02-09
Start Time:   14:30
Speaker:  José Luis Cardoso (CM-UTAD)
Institution:  CM-UTAD
Place:  Room 5.5
Research Groups: -Analysis
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