Name: MacDonald Polynomials: Commuting Family of Q-Difference Operators and Their Joint Eigenfunctions (en Inglés)
Price: 67010.00 CLP
Availability: InStock
Author: Noumi, Masatoshi
ISBN: 9789819945863

portada MacDonald Polynomials: Commuting Family of Q-Difference Operators and Their Joint Eigenfunctions (en Inglés)

Formato

Libro Físico

Autor

Masatoshi Noumi

Editorial

Springer

Idioma

Inglés

N° páginas

132

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 0.8 cm

Peso

0.21 kg.

ISBN13

9789819945863

Categorías

Algebra
Cálculo y análisis matemático
Física matemática

MacDonald Polynomials: Commuting Family of Q-Difference Operators and Their Joint Eigenfunctions (en Inglés)

Masatoshi Noumi (Autor) · Springer · Tapa Blanda

Libro Físico

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Ahorras: $ 54.830

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Reseña del libro "MacDonald Polynomials: Commuting Family of Q-Difference Operators and Their Joint Eigenfunctions (en Inglés)"

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.