Generalized Polynomials and Associated Semigroups

Name: Generalized Polynomials and Associated Semigroups
Brand: Omniscriptum
SKU: 9786131523786
Price: 1082 CZK
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Autor: Cristina Balderrama

Jazyk:

Vazba: Brožovaná

Vydavatel: Omniscriptum

Dostupnost: Skladem u dodavatele

Odesíláme za 5-8 dnů

1 082 Kč

In this work we construct and study families of generalized orthogonal polynomials with hermitian ma...

Informace o knize

Autor

Cristina Balderrama

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2018

Stránek

120

EAN

9786131523786

ISBN

6131523789

Enbook ID

06883650

Vydavatel

Omniscriptum

Hmotnost

186

Rozměry

152 x 229 x 7

Kompletní popis

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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Generalized Polynomials and Associated Semigroups

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