The Resource Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphael S. Ponge
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphael S. Ponge
Resource Information
The item Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphael S. Ponge represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Brigham Young University.This item is available to borrow from 1 library branch.
Resource Information
The item Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphael S. Ponge represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Brigham Young University.
This item is available to borrow from 1 library branch.
 Language
 eng
 Extent
 vii, 134 p.
 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
 Isbn
 9780821841488
 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
 Raphael S. Ponge
 Language
 eng
 Cataloging source
 DLC
 Dewey number
 515/.7242
 Index
 no index present
 LC call number
 QA329.42
 LC item number
 .P65 2008
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Memoirs of the American Mathematical Society
 Series volume
 v. 194, no. 906
 Label
 Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphael S. Ponge
 Bibliography note
 Includes bibliographical references (p. 131134)
 Carrier category
 volume
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type MARC source
 rdacontent
 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
 vii, 134 p.
 Isbn
 9780821841488
 Isbn Type
 (alk. paper)
 Lccn
 2008008508
 Media category
 unmediated
 Media MARC source
 rdamedia
 System control number

 UtOrBLW
 (OCoLC)ocn378526406
 Label
 Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphael S. Ponge
 Bibliography note
 Includes bibliographical references (p. 131134)
 Carrier category
 volume
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type MARC source
 rdacontent
 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
 vii, 134 p.
 Isbn
 9780821841488
 Isbn Type
 (alk. paper)
 Lccn
 2008008508
 Media category
 unmediated
 Media MARC source
 rdamedia
 System control number

 UtOrBLW
 (OCoLC)ocn378526406
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.byu.edu/portal/Heisenbergcalculusandspectraltheoryof/2TQPN4UDIiE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.byu.edu/portal/Heisenbergcalculusandspectraltheoryof/2TQPN4UDIiE/">Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphael S. Ponge</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.byu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.byu.edu/">Brigham Young University</a></span></span></span></span></div>
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.byu.edu/portal/Heisenbergcalculusandspectraltheoryof/2TQPN4UDIiE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.byu.edu/portal/Heisenbergcalculusandspectraltheoryof/2TQPN4UDIiE/">Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds, Raphael S. Ponge</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.byu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.byu.edu/">Brigham Young University</a></span></span></span></span></div>