Bochner-Riesz Summability for Analytic Functions on the <i>m</i>-complex Unit Sphere and for Cylindrically Symmetric Functions on ℝ<sup>n - 1</sup> x ℝ

Adam Sikora, T. Tao

Type: Article

Publication Date: 2004-01-01

Citations: 3

DOI: https://doi.org/10.4310/cag.2004.v12.n1.a4

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Abstract

We prove that spectral projections of Laplace-Beltrami operator on the m-complex

Locations

Communications in Analysis and Geometry - View - PDF

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+	A multiplier version of the Bernstein inequality on the complex sphere	2012	Jeremy Levesley Alexander Kushpel
+ PDF Chat	<i>L</i> <sup> <i>p</i> </sup> -summability of Riesz means for the sublaplacian on complex spheres	2010	Valentina Casarino Marco M. Peloso

Works Cited by This (6)

Action	Title	Year	Authors
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Fourier Integrals in Classical Analysis	2017	Christopher D. Sogge
+	Function Theory in the Unit Ball of ℂn	2012	Walter Rudin
+	The Multiplier Problem for the Ball	1971	Charles Fefferman
+	Fourier Integrals in Classical Analysis	1993	Christopher D. Sogge

Bochner-Riesz Summability for Analytic Functions on the &lt;i&gt;m&lt;/i&gt;-complex Unit Sphere and for Cylindrically Symmetric Functions on ℝ&lt;sup&gt;n - 1&lt;/sup&gt; x ℝ