Analysis of the Sublaplacian

  • Sundaram Thangavelu
Part of the Progress in Mathematics book series (PM, volume 159)

Abstract

In this chapter we study the spectral theory of the sublaplacian as developed by Strichartz. We obtain an Abel summability result for expansions in terms of the eigenfunctions of the sublaplacian. For the spectral projection operators, we establish some restriction theorems. Using the restriction theorem, we study the Bochner-Riesz means for the sublaplacian. We also develop a Littlewood-Paley-Stein theory for the sublaplacian and prove a multiplier theorem for the Fourier transform.

Keywords

Manifold Convolution Hunt Stein Lution 

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Sundaram Thangavelu
    • 1
  1. 1.Statistics & Mathematics DivisionIndian Statistical InstituteBangaloreIndia

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