منابع مشابه
Trace Paley - Wiener Theorem
w Statement of the theorem 1.1. Let G be a reductive p-adic group. A smooth representation (~', E) of the group G on a complex vector space E is called a G-module. Usually we shorten the notation and write w or E. Let d~(G) be the category of G-modules, Irr G the set of equivalence classes of irreducible G-modules, and R (G) the Grothendieck group of G-modules of fnite length; R(G) is a free ab...
متن کاملA Paley-Wiener Like Theorem for Nilpotent Lie Groups
A version of Paley-Wiener like theorem for connected, simply connected nilpotent Lie groups is proven.
متن کاملThe Paley-wiener Theorem for the Hua System
One of the more beautiful results in the harmonic analysis of symmetric spaces is the Helgason Theorem, which states that on a Riemannian symmetric space X = G=K, a function is annihilated by the algebra DG(X) of all G-invariant di erential operators if and only if it is the Poisson integral of a hyperfunction over the \maximal" boundary. (See [KKMOOT].) If X is a Hermitian symmetric space, the...
متن کاملA Paley–wiener Theorem for Distributions on Reductive Symmetric Spaces
Let X = G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier transforms of compactly supported K-finite distributions on X and characterize the image of the space of such distributions.
متن کاملA Paley-wiener Theorem for the Askey-wilson Function Transform
We define an analogue of the Paley-Wiener space in the context of the Askey-Wilson function transform, compute explicitly its reproducing kernel and prove that the growth of functions in this space of entire functions is of order two and type ln q−1, providing a Paley-Wiener Theorem for the Askey-Wilson transform. Up to a change of scale, this growth is related to the refined concepts of expone...
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: IOSR Journal of Mathematics
سال: 2014
ISSN: 2319-765X,2278-5728
DOI: 10.9790/5728-10141623