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Hypoelliptic Laplacian and Orbital Integrals (AM-177)
Jean-Michel Bismut
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Description for Hypoelliptic Laplacian and Orbital Integrals (AM-177)
Paperback. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. Series: Annals of Mathematics Studies. Num Pages: 344 pages, 2 line illus. BIC Classification: PBMS; PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 160 x 236 x 17. Weight in Grams: 490.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Princeton University Press United States
Number of pages
344
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
344
Place of Publication
New Jersey, United States
ISBN
9780691151304
SKU
V9780691151304
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Jean-Michel Bismut
Jean-Michel Bismut is professor of mathematics at the Universite Paris-Sud, Orsay.
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