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math.CO2004
Laplacian operators and Radon transforms on Grassmann graphs
J. M. Marco, J. Parcet
Let be a vector space over a finite field with q elements. Let G denote the general linear group of endomorphisms of and let us consider the left regular representation $ρ:…
math.CO2004
A new approach to the theory of classical hypergeometric polynomials
José Manuel Marco, Javier Parcet
In this paper we present a unified approach to the spectral analysis of an hypergeometric type operator whose eigenfunctions include the classical orthogonal polynomials. We write…
math.CO2003
On the natural representation of into : Discrete harmonics and Fourier transform
José Manuel Marco, Javier Parcet
Let denote a non-empty finite set. Let stand for the symmetric group on and let us write for the power set of . Let be the left…