Spherical Means, Wave Equations, and Hermite–Laguerre Expansions

P. K. Ratnakumar, Sundaram Thangavelu

Type: Article

Publication Date: 1998-04-01

Citations: 4

DOI: https://doi.org/10.1006/jfan.1997.3135

View Publication

Locations

Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Maximal estimates for a generalized spherical mean Radon transform acting on radial functions	2019	Óscar Ciaurri Adam Nowak Luz Roncal
+	Wavelet and Weyl Transforms Associated with the Spherical Mean Operator	2004	Jiman Zhao Lizhong Peng
+	Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation	2013	Alberto Fıorenza Амиран Гогатишвили Tengiz Kopaliani
+	Hermite Expansions on ℝ n for Radial Functions	1993	Sundaram Thangavelu
+	Dunkl operators: Theory and applications	2002	Margit Rösler
+ PDF Chat	Dunkl Operators: Theory and Applications	2003	Margit Rösler
+ PDF Chat	Hermite expansions on 𝑅ⁿ for radial functions	1993	Sundaram Thangavelu
+	WEYL TRANSFORMS ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR	2003	Lakhdar T. Rachdi Khalifa Trimèche
+	The spherical mean value operator with centers on a sphere	2007	David Finch Rakesh Rakesh
+	The spherical mean operator	2007	Thomas Schuster
+ PDF Chat	Hermite Expansions on $\mathbb R^{2n}$ for Radial Functions	1990	Sundaram Thangavelu
+ PDF Chat	Bounds for Maximal Functions Associated with Rotational Invariant Measures in High Dimensions	2012	Alberto Criado Peter Sjögren
+	Maximal Operators in the Spherical Mean Setting	2017	B. Majjaouli Slim Omri
+ PDF Chat	Weighted estimates for fractional maximal functions related to spherical means	2002	Michael Cowling José Garcı́a-Cuerva Hendra Gunawan
+	Two-weight mixed norm estimates for a generalized spherical mean Radon transform acting on radial functions	2017	Óscar Ciaurri Adam Nowak Luz Roncal
+	Two-weight mixed norm estimates for a generalized spherical mean Radon transform acting on radial functions	2017	Óscar Ciaurri Adam Nowak Luz Roncal
+	Spherical means with centers on a hyperplane in even dimensions	2009	Narayanan Eswar Rakesh Rakesh
+ PDF Chat	Spherical means with centers on a hyperplane in even dimensions	2010	Narayanan Eswar Rakesh Rakesh
+	Relations between Hermite and Laguerre expansions of ultradistributions over $${\varvec{\mathbb R}^d}$$ R d and $${\varvec{\mathbb R}^d_+}$$ R + d	2016	Smiljana Jakšić Snježana Maksimović Stevan Pilipović Bojan Prangoski
+ PDF Chat	Two-Weight Mixed Norm Estimates for a Generalized Spherical Mean Radon Transform Acting on Radial Functions	2017	Óscar Ciaurri Adam Nowak Luz Roncal

Works That Cite This (4)

Action	Title	Year	Authors
+	Oscillating multipliers for some eigenfunction expansions	2001	E. K. Narayanan Sundaram Thangavelu
+ PDF Chat	Dimension free boundedness of Riesz transforms for the Grushin operator	2014	P. K. Sanjay Sundaram Thangavelu
+	Injectivity Sets for Spherical Means on the Heisenberg Group	2001	E. K. Narayanan Sundaram Thangavelu
+	Local ergodic theorems for K-spherical averages on the Heisenberg group	2000	Sundaram Thangavelu

Works Cited by This (25)

Action	Title	Year	Authors
+	Norm inequalities for spherical means	1985	Per Sj�lin
+	Lectures on Hermite and Laguerre expansions	1993	Sundaram Thangavelu
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+	Plane Waves and Spherical Means: Applied to Partial Differential Equations	1981	Fritz John
+ PDF Chat	Almost everywhere summability of Laguerre series. II	1992	Krzysztof Stempak
+ PDF Chat	Regularity of spherical means	1978	Jacques Peyrière Per Sjölin
+	Averages in the plane over convex curves and maximal operators	1986	Jean Bourgain
+	Ergodic averages on spheres	1993	Roger L. Jones
+	Maximal functions: Spherical means	1976	Elias M. Stein
+ PDF Chat	Fourier inversion for piecewise smooth functions in several variables	1993	Mark A. Pinsky