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Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds

About this Title

Raphaël S. Ponge

Publication: Memoirs of the American Mathematical Society
Publication Year: 2008; Volume 194, Number 906
ISBNs: 978-0-8218-4148-8 (print); 978-1-4704-0512-0 (online)
DOI: https://doi.org/10.1090/memo/0906
MathSciNet review: 2417549
MSC: Primary 58J40; Secondary 35H10

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Heisenberg manifolds and their main differential operators
  • 3. Intrinsic approach to the Heisenberg calculus
  • 4. Holomorphic families of $\Psi _H\mathrm {DOs}$
  • 5. Heat equation and complex powers of hypoelliptic operators
  • 6. Spectral asymptotics for hypoelliptic operators