The Resource Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphaël S. Ponge

Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphaël S. Ponge

Label
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
Title
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
Statement of responsibility
Raphaël S. Ponge
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1972-
http://library.link/vocab/creatorName
Ponge, Raphael
Index
no index present
LC call number
QA329.42
LC item number
.P65 2008
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Hypoelliptic operators
  • Spectral theory (Mathematics)
  • Calculus
  • Differentiable manifolds
  • Hypoelliptischer Operator
  • Spektraltheorie
  • Calculus
  • Differentiable manifolds
  • Hypoelliptic operators
  • Spectral theory (Mathematics)
Label
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphaël S. Ponge
Instantiates
Publication
Note
  • "Volume 194, number 906 (first of 4 numbers)."
  • "July 2008"
Bibliography note
Includes bibliographical references
Contents
Introduction -- Heisenberg manifolds and their main differential operators -- Intrinsic approach to the Heisenberg calculus -- Holomorphic families of HDOs -- Heat equation and complex powers of hypoelliptic operators -- Spectral asymptotics for hypoelliptic operators -- Weyl asymptotics and CR geometry -- Weyl asymptotics and contact geometry -- Organization of the memoir -- Heisenberg manifolds and their main differential operators -- Heisenberg manifolds -- Main differential operators on Heisenberg manifolds -- Intrinsic approach to the Heisenberg calculus -- Heisenberg calculus -- Principal symbol and model operators -- Hypoellipticity and Rockland condition -- Invertibility criteria for sublaplacians -- Invertibility criteria for the main differential operators -- Holomorphic families of HDOs -- Almost homogeneous approach to the Heisenberg calculus -- Holomorphic families of HDOs -- Composition of holomorphic families of HDOs -- Kernel characterization of holomorphic families of HDOs -- Holomorphic families of HDOs on a general Heisenberg manifold -- Ttransposes and adjoints of holomorphic families of HDOs -- Heat equation and complex powers of hypoelliptic operators -- Pseudodifferential representation of the heat kernel -- Heat equation and sublaplacians -- Complex powers of hypoelliptic differential operators -- Rockland condition and the heat equation -- Weighted Sobolev spaces -- Spectral asymptotics for hypoelliptic operators -- Spectral asymptotics for hypoelliptic operators -- Weyl asymptotics and CR geometry -- Weyl asymptotics and contact geometry
Dimensions
26 cm.
Extent
vi, 134 p.
Isbn
9780821841488
Isbn Type
(alk. paper)
Lccn
2008008508
System control number
  • (OCoLC)212204464
  • (OCoLC)ocn212204464
Label
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphaël S. Ponge
Publication
Note
  • "Volume 194, number 906 (first of 4 numbers)."
  • "July 2008"
Bibliography note
Includes bibliographical references
Contents
Introduction -- Heisenberg manifolds and their main differential operators -- Intrinsic approach to the Heisenberg calculus -- Holomorphic families of HDOs -- Heat equation and complex powers of hypoelliptic operators -- Spectral asymptotics for hypoelliptic operators -- Weyl asymptotics and CR geometry -- Weyl asymptotics and contact geometry -- Organization of the memoir -- Heisenberg manifolds and their main differential operators -- Heisenberg manifolds -- Main differential operators on Heisenberg manifolds -- Intrinsic approach to the Heisenberg calculus -- Heisenberg calculus -- Principal symbol and model operators -- Hypoellipticity and Rockland condition -- Invertibility criteria for sublaplacians -- Invertibility criteria for the main differential operators -- Holomorphic families of HDOs -- Almost homogeneous approach to the Heisenberg calculus -- Holomorphic families of HDOs -- Composition of holomorphic families of HDOs -- Kernel characterization of holomorphic families of HDOs -- Holomorphic families of HDOs on a general Heisenberg manifold -- Ttransposes and adjoints of holomorphic families of HDOs -- Heat equation and complex powers of hypoelliptic operators -- Pseudodifferential representation of the heat kernel -- Heat equation and sublaplacians -- Complex powers of hypoelliptic differential operators -- Rockland condition and the heat equation -- Weighted Sobolev spaces -- Spectral asymptotics for hypoelliptic operators -- Spectral asymptotics for hypoelliptic operators -- Weyl asymptotics and CR geometry -- Weyl asymptotics and contact geometry
Dimensions
26 cm.
Extent
vi, 134 p.
Isbn
9780821841488
Isbn Type
(alk. paper)
Lccn
2008008508
System control number
  • (OCoLC)212204464
  • (OCoLC)ocn212204464

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