Spherical means, wave equations, and Hermite-Laguerre expansions

DOI10.1006/jfan.1997.3135zbMath0910.42008OpenAlexW2005349951MaRDI QIDQ1268765

P. K. Ratnakumar, Sundaram Thangavelu

Publication date: 12 April 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3135

zbMATH Keywords

Cauchy problemspherical meansWeyl transformHermite-Laguerre expansionsLaguerre means

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Wave equation (35L05)

Related Items (3)

Dimension free boundedness of Riesz transforms for the Grushin operator ⋮ Oscillating multipliers for some eigenfunction expansions ⋮ Injectivity sets for spherical means on the Heisenberg group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Averages in the plane over convex curves and maximal operators
• Norm inequalities for spherical means
• The Weyl transform and bounded operators on \(L^p(\mathbb{R}^n)\).
• Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform
• Multipliers for Hermite expansions
• Ergodic averages on spheres
• On regularity of twisted spherical means and special Hermite expansions
• Analogs of Wiener's ergodic theorems for semisimple groups. I
• A localization theorem for Laguerre expansions
• Integral representations for Jacobi polynomials and some applications
• Almost everywhere summability of Laguerre series
• On the Almost Everywhere Convergence to L p Data for Higher Order Hyperbolic Operators
• Maximal functions: Spherical means
• Problems in harmonic analysis related to curvature
• Fourier Inversion for Piecewise Smooth Functions in Several Variables
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS

This page was built for publication: Spherical means, wave equations, and Hermite-Laguerre expansions