Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth Transfer (the Archimedean case)   We establish the existence of a transfer, which is compatible with
Kloosterman integrals, between Schwartz functions on GL(n,R) and Schwartz
functions on the variety of non-degenerate Hermitian forms.
  Namely, we consider an integral of a Schwartz function on GL(n,R) along the
orbits of the two sided action of the groups of upper and lower unipotent
matrices twisted by a non-degenerate character. This gives a smooth function on
the torus. We prove that the space of all functions obtained in such a way
coincides with the space that is constructed analogously when GL(n,R) is
replaced with the variety of non-degenerate hermitian forms. We also obtain
similar results for gl(n,R).
  The non-Archimedean case is done by Jacquet and our proof follows the same
lines. However we have to face additional essential difficulties that appear
only in the Archimedean case.

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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th