Integral operators involving Whittaker functions
نویسندگان
چکیده
منابع مشابه
Integral Representation of Whittaker Functions
Here W is in the Whittaker model W(π, ψ) of a unitary generic representation π of GL(n, F) and W ′ in W(π ′, ψ) where π ′ is a unitary generic representation of GL(n − 1, F) (see below for unexplained notations). One of the difficulties of the theory is that the representations π and π ′ need not be tempered. Thus one is led to consider holomorphic fiber bundles of representations (πu) and (π ′...
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Let G be a simply connected simple Lie group over C. Let N± be the positive and the negative maximal unipotent subgroups, and H the maximal torus, corresponding to some polarization of G. Let G0 = N−HN+ be the big Bruhat cell. Let χ± : N± → C be holomorphic nondegenerate characters (i.e. they don’t vanish on simple roots). A Whittaker function on G0 with characters χ+, χ− is any holomorphic fun...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1983
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500005218