Könyv Generalized Polynomials and Associated Semigroups Cristina Balderrama

Generalized Polynomials and Associated Semigroups

Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Omniscriptum
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
18 516 Ft
In this work we construct and study families of generalized orthogonal polynomials with hermitian ma...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2018
oldal
120
EAN
9786131523786
ISBN
6131523789
Enbook ID
06883650
Kiadó
Súly
186
Méretek
152 x 229 x 7

Teljes leírás

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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