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Generalized polynomials and associated semigroups

Balderrama:Generalized polynomials and
Autor: Cristina Balderrama
Verfügbarkeit: Auf Lager.
Artikelnummer: 1370664
ISBN / EAN: 9786131523786

Verfügbarkeit: sofort lieferbar

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Produktbeschreibung

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.

Zusatzinformation

Autor Verlag Éditions universitaires européennes
ISBN / EAN 9786131523786 Bindung Taschenbuch

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