Weil Representation. I: Intertwining Distributions and Discrete Spectrum: Intertwining Distributions and Discrete Spectrum

Stephen Rallis · Gerard Schiffmann

Jan 1980 · American Mathematical Soc.

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We set forth the foundations of the spectral decomposition of the Weil representation associated to a nondegenerate quadratic form Q over the field [double-struck capital]R of real numbers. The relevant intertwining distributions are constructed, and a complete analysis is mode of the discrete spectrum.