Finite-dimensional orthogonality structures for Hall-Littlewood polynomials

DOI10.1007/s10440-007-9168-0zbMath1162.33004OpenAlexW2113449995MaRDI QIDQ2464061

Jan Felipe van Diejen

Publication date: 10 December 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9168-0

zbMATH Keywords

Orthogonal polynomialsSymmetric functionsBethe Ansatz eigenfunctionsNorm formulas

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other special orthogonal polynomials and functions (33C47)

Related Items (5)

Orthogonality of Macdonald polynomials with unitary parameters ⋮ Generalized discrete orbit function transforms of affine Weyl groups ⋮ A discrete Fourier transform associated with the affine Hecke algebra ⋮ Discrete harmonic analysis on a Weyl alcove ⋮ Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials

Cites Work

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• Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schrödinger model
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

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