Interwining operators and automorphic forms for the metaplectic group.
The local results announced in this paper concern the analytic continuation of interwining operators for the metaplectic covering group of SL(2) over an arbitrary local field and the decomposition of Weil's representation attached to the quadratic form q(x) = x(2). The global results concern Eisenstein series on the metaplectic group and a Siegel-Weil type formula relating the residues of these series to certain generalized theta functions.
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