Bohman extremal problem for the Dunkl transform

DOI10.1134/S0081543817050108zbMath1378.42007OpenAlexW2753688335MaRDI QIDQ1675318

Valeriĭ I. Ivanov, Dmitry Gorbachev

Publication date: 27 October 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817050108

zbMATH Keywords

root systemreflection groupDunkl transformBessel quadrature formulaDunkl weight

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (3)

НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ГАРМОНИЧЕСКОГО АНАЛИЗА И ТЕОРИИ ПРИБЛИЖЕНИЙ ⋮ Some extremal problems for the Fourier transform on the hyperboloid ⋮ A sharp Jackson inequality in \(L_p (\mathbb{R}^d)\) with Dunkl weight

Cites Work

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• Approximate Fourier analysis of distribution functions
• The multidimensional Jackson theorem
• Approximation of functions in the spaces \(L_ p\)
• A Quadrature Formula Involving Zeros of Bessel Functions
• Funk-Hecke Formula for Orthogonal Polynomials on Spheres and on Balls
• A positive radial product formula for the Dunkl kernel
• Convolution roots of radial positive definite functions with compact support
• A Quadrature Formula with Zeros of Bessel Functions as Nodes
• Paley–Wiener theorems for the Dunkl transform

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