AN INTERTWINING OPERATOR FOR THE GROUP B2

DOI10.1017/S0017089507003709zbMath1125.33013arXivmath/0607823WikidataQ57444234 ScholiaQ57444234MaRDI QIDQ5757157

Charles F. Dunkl

Publication date: 6 September 2007

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607823

zbMATH Keywords

intertwining operatorhypergeometric seriesfinite reflection groupDunkl operator

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Analysis on other specific Lie groups (43A80)

Related Items (10)

Free boson realization of the Dunkl intertwining operator in one dimension ⋮ Intertwining operators associated with dihedral groups ⋮ The Dunkl kernel and intertwining operator for dihedral groups ⋮ Dunkl kernel associated with dihedral groups ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ On the boundedness of the Dunkl spherical maximal operator ⋮ A note on the behavior of the Dunkl maximal operator ⋮ Report from the open problems session at OPSFA13 ⋮ Reflection groups in analysis and applications ⋮ Product formula for Jacobi polynomials, spherical harmonics and generalized Bessel function of dihedral type

Cites Work

• Positivity of Dunkl's intertwining operator
• Differential-Difference Operators Associated to Reflection Groups
• Singular Polynomials for Finite Reflection Groups
• Intertwining Operators Associated to the Group S 3

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