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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Thangavelu, S. (1998). Analysis of the Sublaplacian. In: Harmonic Analysis on the Heisenberg Group. Progress in Mathematics, vol 159. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1772-5_2
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1772-5_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7275-5
Online ISBN: 978-1-4612-1772-5
eBook Packages: Springer Book Archive