Generalized Dunkl transform on the line in inverse problems of approximation theory

DOI10.22405/2226-8383-2024-25-2-67-81MaRDI QIDQ6647861

Valeriĭ I. Ivanov

Publication date: 3 December 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)

zbMATH Keywords

convolutionmodulus of smoothnessentire functions of exponential typegeneralized Dunkl transformgeneralized translation operatorinverse inequalities of approximation theory

Mathematics Subject Classification ID

Functions of a complex variable (30-XX) Approximations and expansions (41-XX)

Cites Work

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• Fractional smoothness in \(L^p\) with Dunkl weight and its applications
• Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications
• Laguerre semigroup and Dunkl operators
• Integral Kernels with Reflection Group Invariance
• Bessel harmonic analysis and approximation of functions on the half-line
• Nondeformed generalized Dunkl transform on the line
• On the kernel of the -Generalized fourier transform
• The intertwining operator for the generalized Dunkl transform on the line

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