Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds

Raphael S. Ponge (Autor)

Buch | Softcover

134 Seiten

2008
American Mathematical Society (Verlag)
978-0-8218-4148-8 (ISBN)

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A memoir dealing 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.

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.

Introduction Heisenberg manifolds and their main differential operators Intrinsic approach to the Heisenberg calculus Holomorphic families of $/mathbf{/Psi_{H}}$DOs Heat equation and complex powers of hypoelliptic operators Spectral asymptotics for hypoelliptic operators Appendix A. Proof of Proposition 3.1.18 Appendix B. Proof of Proposition 3.1.21 Bibliography.

Erscheint lt. Verlag	1.8.2008
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Gewicht	238 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-4148-3 / 0821841483
ISBN-13	978-0-8218-4148-8 / 9780821841488
Zustand	Neuware