On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups

· American Mathematical Society: Memoirs of the American Mathematical Society Book 635 · American Mathematical Soc.
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101
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The invariant integrals of spherical functions over certain infinite families of unipotent orbits in symplectic groups over a p-adic field of characteristic zero are explicitly calculated. The results are then put into a conjectural framework that predicts for split classical groups which linear combinations of unipotent orbital integrals are stable distributions. No index. Annotation copyrighted by Book News, Inc., Portland, OR

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