9789819945863 - Macdonald Polynomials - Masatoshi Noumi Kartoniert (TB)

Bilder-Quelle: discount24.de - Sport-Freizeit

This book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It is based on a series of online lectures given by the author at the Royal Institute of Technology (KTH) Stockholm in February and March 2021. Macdonald polynomials are a class of symmetric orthogonal polynomials in many variables. They include important classes of special functions such as Schur functions and Hall-Littlewood polynomials and play important roles in various fields of mathematics and mathematical physics. After an overview of Schur functions the author introduces Macdonald polynomials (of type A in the GLn version) as eigenfunctions of a q-difference operator called the Macdonald-Ruijsenaars operator in the ring of symmetric polynomials. Starting from this definition various remarkable properties of Macdonald polynomials are explained such as orthogonality evaluation formulas and self-duality with emphasis on the roles of commuting q-difference operators. The author also explains how Macdonald polynomials are formulated in the framework of affine Hecke algebras and q-Dunkl operators.

Produktinformationen zuletzt aktualisiert am
01.04.2025 um 04:01 Uhr

Hersteller

EAN

9789819945863

MPN

ASIN

Produktgruppe