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Winogrand produced a few discrete series in the 1970s, one of which was Public Relations.
For some special parameters the Poisson transform is of Szegö type whose image is in a relative discrete series; we compute the corresponding elements in the discrete series.
This result, which extends a result of Moscovici and of the author, holds for all integrable discrete series and for infinitely many nonintegrable discrete series.
Our main interest is of course in the restriction of nonholomorphic discrete series, but for completeness, we consider all discrete series of G.
Sharp images, never decorative, build into sturdy edifices of longer, largely discrete series; there's even a section called "Testimony," and a "Kaddish" for his mother.
The construction of discrete series which are not holomorphic is also discussed.
We study Fourier coefficients of Poincaré series attached to matrix coefficients of integrable discrete series.
In the present paper we study the holomorphic discrete series (h.d.s).s
This result generalizes the corresponding result for representations of compact groups and holomorphic discrete series representations.
In particular, we show that all the spherical discrete series are non-cuspidal.
We prove that direct integral decomposition of any restricted discrete series of G is multiplicity free.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com