Hypoelliptic laplacian and orbital integrals. (Record no. 193491)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03071nam a2200373 4500 |
| 001 - CONTROL NUMBER | |
| control field | PUPB0001210 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 141217t2011uuuuxx# eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0691151296 |
| International Standard Book Number | 069115130X |
| International Standard Book Number | 9780691151304 |
| International Standard Book Number | 9780691151298 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bismut, Jean-Michel. |
| 9 (RLIN) | 139587 |
| 245 10 - TITLE STATEMENT | |
| Title | Hypoelliptic laplacian and orbital integrals. |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | Bismut, Jean-Michel. |
| 264 3# - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | [S.l.] : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 343 p. |
| 336 ## - CONTENT TYPE | |
| Content type term | |
| Content type code | |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | |
| Media type code | |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | |
| Carrier type code | |
| Source | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Hypoelliptic laplacian and orbital integrals -- Contents -- Acknowledgments -- Introduction -- Chapter One: Clifford and Heisenberg algebras -- Chapter Two: The hypoelliptic Laplacian on X = G/K -- Chapter Three: The displacement function and the return map -- Chapter Four: Elliptic and hypoelliptic orbital integrals -- Chapter Five: Evaluation of supertraces for a model operator -- Chapter Six: A formula for semisimple orbital integrals -- Chapter Seven: An application to local index theory -- Chapter Eight: The case where [ƭ (γ), po]=0 -- Chapter Nine: A proof of the main identity -- Chapter Ten: The action functional and the harmonic oscillator -- Chapter Eleven: The analysis of the hypoelliptic Laplacian -- Chapter Twelve: Rough estimates on the scalar heat kernel -- Chapter Thirteen: Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen: The heat kernel Xb,t for bounded b -- Chapter Fifteen: The heat kernel Xb,t for b large -- Bibliography -- Subject Index -- Index of Notation |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. It is essentially the weighted sum of a harmonic oscillator along the fiber of the tangent bundle, and of the generator of the geodesic flow. In this book, semisimple orbital integrals associated with the heat kernel of the Casimir operator are shown to be invariant under a suitable hypoelliptic deformation, which is constructed using the Dirac operator of Kostant. Their explicit evaluation is obtained by localization on geodesics in the symmetric space, in a formula closely related to the Atiyah-Bott fixed point formulas. Orbital integrals associated with the wave kernel are also computed. |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 9 (RLIN) | 139588 |
| Topical term or geographic name as entry element | Mathematical Analysis |
| 9 (RLIN) | 139589 |
| Topical term or geographic name as entry element | Mathematics |
| 9 (RLIN) | 139590 |
| Topical term or geographic name as entry element | Geometry |
| 9 (RLIN) | 139591 |
| Topical term or geographic name as entry element | Analytic |
| 9 (RLIN) | 139592 |
| Topical term or geographic name as entry element | Mathematics |
| 9 (RLIN) | 139590 |
| Topical term or geographic name as entry element | Matrices |
| 9 (RLIN) | 27610 |
| Topical term or geographic name as entry element | PBMW |
| 9 (RLIN) | 139593 |
| Topical term or geographic name as entry element | PBMS |
| 9 (RLIN) | 139594 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Bismut, Jean-Michel, |
| Relator term | author |
| 9 (RLIN) | 139587 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://portal.igpublish.com/iglibrary/search/PUPB0001210.html">http://portal.igpublish.com/iglibrary/search/PUPB0001210.html</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
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No items available.