Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
著者
書誌事項
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
（Memoirs of the American Mathematical Society, no. 906）
American Mathematical Society, 2008
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注記
Includes bibliographical references (p. 131-134)
内容説明・目次
内容説明
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.
目次
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.
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