4 citations · 4 across the 2 of their papers we have counts for
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Wavelet frames, Bergman spaces and Fourier transforms of Laguerre functions
Luis Daniel Abreu
The Fourier transforms of Laguerre functions play the same canonical role in wavelet analysis as do the Hermite functions in Gabor analysis. We will use them as analyzing wavelets…
Hardy-type theorem for functions orthogonal with respect to their zeros. The Jacobi weight case
L. D. Abreu, F. Marcellan, S. Yakubovich
Motivated by G. H. Hardy's 1939 results \cite{Hardy} on functions orthogonal with respect to their real zeros , we will consider, within the same general conditi…
Completeness, special functions and uncertainty principles over q-linear grids
Luis Daniel Abreu
We derive completeness criteria for sequences of functions of the form , where is the zero of a suitably chosen entire function. Using these criteria, we…
The reproducing kernel structure arising from a combination of continuous and discrete orthogonal polynomials into Fourier systems
Luis Daniel Abreu
We study mapping properties of operators with kernels defined via a combination of continuous and discrete orthogonal polynomials, which provide an abstract formulation of quantum…