A new integral formula for Heckman-Opdam hypergeometric functions

DOI10.1016/j.aim.2015.09.037zbMath1336.33033arXiv1406.3772OpenAlexW1778527936MaRDI QIDQ904041

Yi Sun

Publication date: 15 January 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3772

zbMATH Keywords

Poisson-Lie groupsCalogero-Moser systemrational Cherednik algebraquasiclassical limitGelfand-Tsetlin coordinatesHeckman-Opdam hypergeometric functions

Mathematics Subject Classification ID

Poisson algebras (17B63) Hypergeometric functions associated with root systems (33C67)

Related Items (3)

Sonine Formulas and Intertwining Operators in Dunkl Theory ⋮ Quantum \(SL_2\), infinite curvature and Pitman's $2M-X$ theorem ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects

Cites Work

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• A representation-theoretic proof of the branching rule for Macdonald polynomials
• Quantum groups at roots of 1
• Ginzburg-Weinstein via Gelfand-Zeitlin
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• The conjugating representation of a semisimple group
• Moment maps at the quantum level
• The Dunkl transform
• Shifted Jack polynomials, binomial formula, and applications
• Interpretations of some parameter dependent generalizations of classical matrix ensembles
• Toric degenerations of spherical varieties
• Harmonic analysis for certain representations of graded Hecke algebras
• Macdonald's polynomials and representations of quantum groups
• General β-Jacobi Corners Process and the Gaussian Free Field
• Differential Operators on a Semisimple Lie Algebra
• Fourier Transforms on a Semisimple Lie Algebra I
• Quantum Coadjoint Action
• Lie-Poisson Structure on Some Poisson Lie Groups
• Merits and demerits of the orbit method
• Separation of Variables for Quantized Enveloping Algebras
• A convexity theorem for Poisson actions of compact Lie groups
• Rayleigh triangles and non-matrix interpolation of matrix beta integrals
• On collective complete integrability according to the method of Thimm
• The planar approximation. II
• Recursive construction for a class of radial functions. I. Ordinary space
• Universal KZB Equations: The Elliptic Case
• Projections of orbital measures, Gelfand-Tsetlin polytopes, and splines
• GUEs and queues

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