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Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Discrete Laguerre-Sobolev expansions: A Cohen type inequality
Laguerre polynomials Laguerre–Sobolev type polynomials Cohen type inequality Bessel functions
2011/8/25
Abstract: C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fourier expa...
Minimal representations of conformal groups and generalized Laguerre functions
Minimal representations conformal groups generalized Laguerre functions
2010/12/10
We give a unified construction of the minimal representation of a finite cover G of the conformal group of a (non necessarily euclidean) Jordan algebra V . This representation is realized on the L2-sp...