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Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds

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Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds Synopsis

This memoir deals with the hypoelliptic calculus on Heisenberg manifolds, including CR and contact manifolds. In this context the main differential operators at stake include the Hormander's sum of squares, the Kohn Laplacian, the horizontal sublaplacian, the CR conformal operators of Gover-Graham and the contact Laplacian. These operators cannot be elliptic and the relevant pseudodifferential calculus to study them is provided by the Heisenberg calculus of Beals-Greiner and Taylor.

About This Edition

ISBN: 9780821841488
Publication date: 30th May 2008
Author: Raphael Ponge
Publisher: American Mathematical Society
Format: Paperback
Pagination: 134 pages
Series: Memoirs of the American Mathematical Society
Genres: Calculus
Algebraic topology
Calculus and mathematical analysis