Name: The Reproducing Kernel Method. II
Creator: Devooght, Jacques
Keywords: Physique statistique classique et relativiste, 4. Education, Integral representations of solutions to PDEs, General theory of ordinary differential operators, Autres mathématiques, 0101 mathematics, Physique des phénomènes non linéaires, 16. Peace & justice, 01 natural sciences

The reproducing kernel method. I, II

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1972 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 13, pages 1,259-1,268 (issn: 0022-2488, eissn: 1089-7658,

Authors: Devooght, Jacques;

doi: 10.1063/1.1666131 , 10.1063/1.1666130

handle: 2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/190404 , 2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/182451

The Reproducing Kernel Method. II

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Abstract

The explicit solution of the Cauchy problem ∂N/∂t = HN by means of reproducing kernels is obtained under various forms: conformal mapping expansions, Sheffer polynomial expansion, polynomials orthogonal on a family of curves; the convergence is studied for both Szegö and Bergman kernels.

Related Organizations

Université Libre de Bruxelles
Belgium

Keywords

Physique statistique classique et relativiste, Integral representations of solutions to PDEs, General theory of ordinary differential operators, Autres mathématiques, Physique des phénomènes non linéaires

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