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On the estimates of Dunkl kernels

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Publication:2036586
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DOI10.1007/s10476-021-0071-0zbMath1474.51006OpenAlexW3127749507MaRDI QIDQ2036586

Yanyan Li

Publication date: 29 June 2021

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-021-0071-0


zbMATH Keywords

reflection groupDunkl kernelDunkl operator


Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) Reflection groups, reflection geometries (51F15) Hypergeometric functions associated with root systems (33C67)


Related Items

An estimate for the Dunkl kernels of type \(B_2 \)



Cites Work

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  • Explicit formulas for the Dunkl dihedral kernel and the \((\kappa,a)\)-generalized Fourier kernel
  • The Dunkl transform
  • NIST digital library of mathematical functions
  • Asymptotic analysis for the Dunkl kernel
  • Positivity of Dunkl's intertwining operator
  • Convolution operator and maximal function for the Dunkl transform
  • Differential-Difference Operators Associated to Reflection Groups
  • Integral Kernels with Reflection Group Invariance
  • Note on Bessel functions of typeAN−1
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