The asymptotic behavior of holomorphic representations
نویسندگان
چکیده
منابع مشابه
The asymptotic behavior of holomorphic representations
In this article the Jacquet module of a holomorphic representation is confuted by a direct and elementary method. The preliminary results involve the study of the notion of opposite parabolic subalgebra. * Research partially supported by an N . S . F . grant.
متن کاملAsymptotic behavior of discrete holomorphic maps z and log(z)
It is shown that discrete analogs of z and log(z), defined via particular “integrable” circle patterns, have the same asymptotic behavior as their smooth counterparts. These discrete maps are described in terms of special solutions of discrete Painlevé-II equations, asymptotics of these solutions providing the behaviour of discrete z and log(z) at infinity.
متن کاملAsymptotic behaviour of holomorphic strips
The asymptotic behaviour of a finite energy pseudoholomorphic strip with Lagrangian boundary conditions in a symplectic manifold is determined by an eigenfunction of the linearized operator at the (transverse) intersection.
متن کاملOn Singular Holomorphic Representations *
In this article the full set of irreducible unitary holomorphic representations of U (p, q) is determined. For a general Hermitian symmetric space G/K of the noncompact type the set of irreducible unitary representations of G on scalar valued holomorphic functions has been found by Wallach [14] and by Rossi and Vergne [11]. For the groups Mp(n, ~) and SU(n, n) unitary irreducible representation...
متن کاملOn the asymptotic behavior of holomorphic isometries of the Poincaré disk into bounded symmetric domains
In this article we study holomorphic isometries of the Poincaré disk into bounded symmetric domains. Earlier we solved the problem of analytic continuation of germs of holomorphic maps between bounded domains which are isometries up to normalizing constants with respect to the Bergman metric, showing in particular that the graph V0 of any germ of holomorphic isometry of the Poincaré disk ∆ into...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mémoires de la Société mathématique de France
سال: 1984
ISSN: 0249-633X,2275-3230
DOI: 10.24033/msmf.308