{"product_id":"generalized-polynomials-and-associated-semigroups-von-cristina-balderrama","title":"Generalized polynomials and associated semigroups","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786131523786\"\u003e\u003ch3\u003eGeneralized orthogonal polynomials with Hermitian matrix argument and associated semigroups\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9786131523786","offer_id":40149010677853,"sku":"9786131523786","price":54.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/59957035-7fcf-423c-bd53-f7e2a7ec5f9b.jpg?v=1769497625","url":"https:\/\/shop.autorenwelt.de\/products\/generalized-polynomials-and-associated-semigroups-von-cristina-balderrama","provider":"Autorenwelt Shop","version":"1.0","type":"link"}