Tools

LEADER 03577cam 22005054a 4500

001 ocn212204464;

003 OCoLC;

005 20141212004224.0;

008 080222s2008 riu b 000 0 eng ;

010 a| 2008008508;

015 a| GBA8686052| bnb;

016 7 a| 0146213992| Uk;

020 a| 9780821841488 (alk. paper);

020 a| 0821841483 (alk. paper);

029 1 a| NLGGCb| 310447275;

035 a| (Sirsi) o212204464;

035 a| (OCoLC)212204464;

049 a| EREE;

050 00 a| QA329.42b| .P65 2008;

082 00 a| 515/.72422| 22;

090 a| QA3b| .A57 no. 906;

100 1 a| Ponge, Raphael,d| 1972-=| ^A781861;

245 10 a| Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds /c| Raphaël S. Ponge.;

300 a| vi, 134 pages ;c| 26 cm.;

336 a| text2| rdacontent;

337 a| unmediated2| rdamedia;

338 a| volume2| rdacarrier;

490 1 a| Memoirs of the American Mathematical Society ;v| no. 906;

504 a| Includes bibliographical references (p. 131-134).;

505 0 a| 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 -- Transposes 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.;

650 0 a| Hypoelliptic operators.=| ^A233094;

650 0 a| Spectral theory (Mathematics)=| ^A21221;

650 0 a| Calculus.=| ^A16009;

650 0 a| Differentiable manifolds.=| ^A33725;

830 0 a| Memoirs of the American Mathematical Societyv| no. 906.=| ^A638158;

994 a| C0b| ERE;

938 a| YBP Library Servicesb| YANKn| 2803391;

938 a| Baker & Taylorb| BKTYc| 67.00d| 71.95i| 0821841483n| 0007752141s| active;

938 a| Baker and Taylorb| BTCPn| BK0007752141;

590 a| Joyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, SEARCH BY CALL NUMBER QA3 .A57.;

596 a| 1;

998 a| 1389243;

999 a| QA3 .A57 NO. 906w| LCc| 1i| 30372014364597d| 12/6/2012f| 12/6/2012g| 1l| JGESm| JOYNERr| Ys| Yt| JGESBKu| 7/8/2008x| BOOKz| JSTACKSo| .STAFF. 0;

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

Author/creator	Ponge, Raphael, 1972-
Format	Book
Publication Info	Providence, R.I. : American Mathematical Society, ©2008.
Description	vi, 134 pages ; 26 cm.
Subjects	Hypoelliptic operators. Spectral theory (Mathematics) Calculus. Differentiable manifolds.

Series	Memoirs of the American Mathematical Society ; no. 906 Memoirs of the American Mathematical Society no. 906. ^A638158
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 -- Transposes 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.
Local note	Joyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, SEARCH BY CALL NUMBER QA3 .A57.
Bibliography note	Includes bibliographical references (p. 131-134).
LCCN	2008008508
ISBN	9780821841488 (alk. paper)
ISBN	0821841483 (alk. paper)

Availability

Library	Location	Call Number	Status	Item Actions
Joyner	General Stacks	QA3 .A57 NO. 906	✔ Available	Place Hold

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

Click here for more information about this title

Availability