Mean convergence of Fourier-Dunkl series

DOI10.1016/j.jmaa.2010.07.029zbMath1210.43006arXiv1010.1848OpenAlexW2057250880MaRDI QIDQ994319

Juan Luis Varona, Juan Manuel Reyes, Óscar Ciaurri, Mario Pérez Riera

Publication date: 17 September 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1848

zbMATH Keywords

orthogonal systemDunkl transformmean convergenceFourier-Dunkl series

Mathematics Subject Classification ID

Convergence of Fourier series and of inverse transforms (43A50)

Related Items

Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions ⋮ Equivalence of \(K\)-functionals and modulus of smoothness generated by a Dunkl type operator on the interval \((-1, 1)\) ⋮ Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind ⋮ Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials ⋮ Bilinear biorthogonal expansions and the Dunkl kernel on the real line ⋮ Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations

Cites Work

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• The multiplier of the interval \([-1,1\) for the Dunkl transform on the real line]
• A variant of Cowling-Price's theorem for the Dunkl transform on \(\mathbb R\)
• Riesz transforms for the dunkl harmonic oscillator
• The Dunkl transform
• Mean and weak convergence of Fourier-Bessel series
• Relating transplantation and multipliers for Dunkl and Hankel transforms
• Inserting A p -Weights
• Integral Kernels with Reflection Group Invariance
• Two Notes on Convergence and Divergence A.E. of Fourier Series with Respect to Some Orthogonal Systems
• An uncertainty principle for Hankel transforms
• A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform
• On Mean Convergence of Fourier‐Bessel Series of Negative Order
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• The Mean Convergence of Orthogonal Series

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