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Springer Representation of Lie Groups Special Functions Volume 2

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Description

This comprehensive academic text is the second volume in a three-part series examining special functions through the lens of group representation theory. The book explores the mathematical properties of orthogonal polynomials including Legendre, Gegenbauer, Jacobi, Laguerre and Bessel functions, all connected to class 1 representations of various groups. It presents the tree method for constructing bases within representation spaces and develops continuous bases in spaces of functions on hyperboloids and cones, alongside corresponding Poisson kernel theory. Published by Springer as part of the Mathematics and Its Applications series, this volume provides rigorous treatment of advanced topics in representation theory and special function analysis for graduate students and research mathematicians.

Key Features

Volume 2 of a three-volume series on representation theory and special functions with comprehensive mathematical coverage.

Detailed treatment of orthogonal polynomials including Legendre, Gegenbauer, Jacobi, Laguerre and Bessel functions.

Tree method techniques for constructing bases in representation spaces of various mathematical groups.

Development of continuous bases in function spaces on hyperboloids and cones with Poisson kernel applications.

Published by Springer in the Mathematics and Its Applications series for advanced mathematical study.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
05 December 2010
Listed Since
20 September 2010

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