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Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds - Info and Reading Options

"Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds" was published by American Mathematical Society in 2008 - Providence, R.I and the language of the book is English.


“Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds” Metadata:

  • Title: ➤  Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
  • Author:
  • Language: English
  • Publisher: American Mathematical Society
  • Publish Date:
  • Publish Location: Providence, R.I

“Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds” Subjects and Themes:

Edition Specifications:

  • Pagination: p. cm.

Edition Identifiers:

AI-generated Review of “Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds”:


"Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds" Table Of Contents:

  • 1- Introduction
  • 2- Heisenberg manifolds and their main differential operators
  • 3- Intrinsic approach to the Heisenberg calculus
  • 4- Holomorphic families of HDOs
  • 5- Heat equation and complex powers of hypoelliptic operators
  • 6- Spectral asymptotics for hypoelliptic operators
  • 7- Weyl asymptotics and CR geometry
  • 8- Weyl asymptotics and contact geometry
  • 9- Organization of the memoir
  • 10- Heisenberg manifolds and their main differential operators
  • 11- Heisenberg manifolds
  • 12- Main differential operators on Heisenberg manifolds
  • 13- Intrinsic approach to the Heisenberg calculus
  • 14- Heisenberg calculus
  • 15- Principal symbol and model operators
  • 16- Hypoellipticity and Rockland condition
  • 17- Invertibility criteria for sublaplacians
  • 18- Invertibility criteria for the main differential operators
  • 19- Holomorphic families of HDOs
  • 20- Almost homogeneous approach to the Heisenberg calculus
  • 21- Holomorphic families of HDOs
  • 22- Composition of holomorphic families of HDOs
  • 23- Kernel characterization of holomorphic families of HDOs
  • 24- Holomorphic families of HDOs on a general Heisenberg manifold
  • 25- Ttransposes and adjoints of holomorphic families of HDOs
  • 26- Heat equation and complex powers of hypoelliptic operators
  • 27- Pseudodifferential representation of the heat kernel
  • 28- Heat equation and sublaplacians
  • 29- Complex powers of hypoelliptic differential operators
  • 30- Rockland condition and the heat equation
  • 31- Weighted Sobolev spaces
  • 32- Spectral asymptotics for hypoelliptic operators
  • 33- Spectral asymptotics for hypoelliptic operators
  • 34- Weyl asymptotics and CR geometry
  • 35- Weyl asymptotics and contact geometry.

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