author = "Abreu, L. D."
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Found 7 documents, displaying page 1 of 1

## Completeness criteria for sequences of special functions

Author(s) : Abreu, L. D.
Description : Two Lp completeness criteria for sequences of functions written in the form f(lnx), where ln is the nth zero of another function g, are obtained. The results are illustrated with applications to sequences of special functions , Fundação para a Ciência e Tecnologia; Centro de Matemática da Universidade ...
Repository : Estudo Geral
Language(s) : English

## A q-sampling theorem related to the q-Hankel transform

Author(s) : Abreu, L. D.
Description : A q-version of the sampling theorem is derived using the q-Hankel transform introduced by Koornwinder and Swarttouw. The sampling points are the zeros of the third Jackson q-Bessel function , Fundação para a Ciência e Tecnologia; Centro de Matemática da Universidade de Coimbra
Repository : Estudo Geral
Language(s) : English

## The roots of the third Jackson q-Bessel function

Description : We derive analytic bounds on the roots of the third Jackson Function. This bounds prove a conjecture of M. E. H. Ismail concerning the asymptotic behaviour of the roots.
Repository : Estudo Geral
Language(s) : English

## Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case

Description : Motivated by the G.H. Hardy's 1939 results [G.H. Hardy, Notes on special systems of orthogonal functions II: On functions orthogonal with respect to their own zeros, J. London Math. Soc. 14 (1939) 37-44] on functions orthogonal with respect to their real zeros [lambda]n, , we will consider, under th...
Repository : Estudo Geral
Language(s) : English

## Hardy-type theorem for functions orthogonal with respect to their zeros. The Jacobi weight case

Description : Motivated by G. H. Hardy's 1939 results \cite{Hardy} on functions orthogonal with respect to their real zeros $\lambda_{n}, n=1,2,...$, we will consider, within the same general conditions imposed by Hardy, functions satisfying an orthogonality with respect to their zeros with Jacobi weights on t...
Repository : arXiv
Language(s) : Undetermined

## Bilinear biorthogonal expansions and the Dunkl kernel on the real line

Description : We study an extension of the classical Paley-Wiener space structure, which is based on bilinear expansions of integral kernels into biorthogonal sequences of functions. The structure includes both sampling expansions and Fourier-Neumann type series as special cases, and it also provides a bilinear...
Repository : arXiv
Language(s) : Undetermined

## Pointwise convergent expansions in q-Fourier-Bessel series

Description : 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...
Repository : Estudo Geral
Language(s) : English
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Found 7 documents, displaying page 1 of 1