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On almost everywhere and mean convergence of Hermite and Laguerre expansions

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Publication:4713526
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DOI10.4064/cm-60-61-1-21-34zbMath0747.42014OpenAlexW785180639MaRDI QIDQ4713526

Sundaram Thangavelu

Publication date: 25 June 1992

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-60-61-1-21-34


zbMATH Keywords

Riesz meansHermite expansionLebesgue pointLaguerre expansiona.e. convergence


Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Harmonic analysis in several variables (42B99)


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Heat-diffusion and Poisson integrals for Laguerre expansions ⋮ On regularity of twisted spherical means and special Hermite expansions ⋮ Weighted norm inequalities for heat-diffusion Laguerre's semigroups ⋮ Global Solution for the Spatially Inhomogeneous Non-cutoff Kac Equation ⋮ Bounds on the maximal Bochner-Riesz means for elliptic operators ⋮ Almost everywhere convergence of Bochner-Riesz means for the Hermite operators ⋮ Transplantation, summability and multipliers for multiple Laguerre expansions



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