5 papers
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:…
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…
Sharp Fourier type and cotype with respect to compact semisimple Lie groups
José García-Cuerva, José Manuel Marco, Javier Parcet
Sharp Fourier type and cotype of Lebesgue spaces and Schatten classes with respect to an arbitrary compact semisimple Lie group are investigated. In the process, a local variant of…
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…
Taylor series for the Askey-Wilson operator and classical summation formulas
José Manuel Marco, Javier Parcet
An analogue of Taylor's formula, which arises by substituting the classical derivative by a divided difference operator of Askey-Wilson type, is developed here. We study the conver…