Ramanujan's Master Theorem and Duality of Symmetric Spaces
نویسندگان
چکیده
منابع مشابه
Symplectic Duality of Symmetric Spaces
Let (M, 0) ⊂ C be a complex n -dimensional Hermitian symmetric space endowed with the hyperbolic form ωB . Denote by (M ∗, ω∗ B ) the compact dual of (M,ωB) , where ω ∗ B is the Fubini–Study form on M∗ . Our first result is Theorem 1.1 where, with the aid of the theory of Jordan triple systems, we construct an explicit diffeomorphism ΨM : M → R = C ⊂ M∗ satisfying Ψ∗ M (ω0) = ωB and Ψ ∗ M (ω∗ B...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولBeurling’s Theorem for Riemannian Symmetric Spaces Ii
We prove two versions of Beurling’s theorem for Riemannian symmetric spaces of arbitrary rank. One of them uses the group Fourier transform and the other uses the Helgason Fourier transform. This is the master theorem in the quantitative uncertainty principle.
متن کاملA Conjugacy Theorem for Symmetric Spaces
In this paper we prove that two Cartan subspaces of a semisimple symmetric pair (g, τ) are conjugate under G = Int(g) if and only if they are conjugate under (Gτ )0. Moreover we derive a double coset decomposition for G, which improves the results of Oshima and Matsuki.
متن کاملSUBREPRESENTATION THEOREM FOR p-ADIC SYMMETRIC SPACES
The notion of relative cuspidality for distinguished representations attached to p-adic symmetric spaces is introduced. A characterization of relative cuspidality in terms of Jacquet modules is given and a generalization of Jacquet’s subrepresentation theorem to the relative case (symmetric space case) is established.
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: Journal of Functional Analysis
سال: 1997
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.3051