An integral expression for the Dunkl kernel in the dihedral setting

DOI10.1515/jaa-2017-0011OpenAlexW2964214891MaRDI QIDQ1684025

Mostafa Maslouhi

Publication date: 4 December 2017

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05534

zbMATH Keywords

dihedral groupDunkl kernelDunkl operatorDunkl intertwining operator

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Linear operators on Banach algebras (47B48) Hypergeometric functions associated with root systems (33C67) Orthogonal polynomials and functions associated with root systems (33C52)

Cites Work

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• The Dunkl intertwining operator
• The Dunkl transform
• Exact operator solution of the Calogero-Sutherland model
• Positivity of Dunkl's intertwining operator
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Singular Polynomials for Finite Reflection Groups
• Paley–Wiener theorems for the Dunkl transform
• Orthogonal Polynomials of Several Variables

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