Hidden Bibliographic Details
| Other authors / contributors: | University of Chicago. degree granting institution.
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| ISBN: | 9781339873800
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| Notes: | Advisors: Bao Chau Ngo; Paul E. Herman Committee members: Matthew J. Emerton; Bao Chau Ngo.
Dissertation Abstracts International, Volume: 77-10(E), Section: B.
English
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| Summary: | This thesis consists of two main parts.
In the first part an integral transform between spaces of nonstandard test functions on the affine space of dimension n is constructed. The integral transform satisfies a summation formula of Poisson type, which is derived from an analogue of the Arthur-Selberg trace formula for the Lie algebra of n-by-n matrices.
In the second part a proof of Conjecture 9.12 of Braverman-Kazhdan in their article "gamma-functions of representations and lifting" on the acyclicity of their l-adic gamma-sheaves over certain affine spaces is given for GL(n).
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