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EAN13
9786131523786
Éditeur
Univ Européenne
Date de publication
31 octobre 2010
Collection
OMN.UNIV.EUROP.
Nombre de pages
120
Dimensions
22 x 15 cm
Poids
188 g
Langue
eng

Generalized Polynomials And Associated Semigroups, Generalized Orthogonal Polynomials With Hermitian Matrix Argument And Associated Semigroups

Cristina Balderrama

Univ Européenne

Prix public : 39,00 €

In this work we construct and study families of generalized orthogonal polynomials with hermitian matrix argument associated to a family of orthogonal polynomials on R. Different normalizations for these polynomials are considered and we obtain some classical formulas for orthogonal polynomials from the corresponding formulas for the one-dimensional polynomials. We also construct semigroups of operators associated to the generalized orthogonal polynomials and we give an expression of the infinitesimal generator of this semigroup and, in the classical cases, we prove that this semigroup is also Markov. For d-dimensional Jacobi expansions we study the notions of fractional integral (Riesz potentials), Bessel potentials and fractional derivatives. We present a novel decomposition of the L2 space associated with the d-dimensional Jacobi measure and obtain an analogous of Meyer's multiplier theorem in this setting. Sobolev Jacobi spaces are also studied.
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