Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds

Abstract

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.