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Hypoelliptic Laplacian and Orbital Integrals (AM-177) (Annals of Mathematics Studies)

Jean-Michel Bismut




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 | #7464053 in Books |  Princeton University Press |  2011-08-28 | Original language:English | PDF # 1 |  .90 x6.20 x9.30l,1.23 | File type: PDF | 344 pages

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||About the Author|Jean-Michel Bismut is professor of mathematics at the Universite Paris-Sud, Orsay.

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 assoc...

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