Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds (Draft)
Raphael S. Ponge, "Heisenberg Calculus and Spectral Theory of Hypoellic Operators on Heisenberg Manifolds"
English | ISBN: 0821841483 | 2008 | 134 pages | PDF | 1 MB
This memoir deals with the hypoellic calculus on Heisenberg manifolds, including CR and contact manifolds. In this context the main differential operators at stake include the Hormanders sum of squares, the Kohn Laplacian, the horizontal sublaplacian, the CR conformal operators of Gover-Graham and the contact Laplacian. These operators cannot be ellic and the relevant pseudodifferential calculus to study them is provided by the Heisenberg calculus of Beals-Greiner and Taylor.