Surjectivity of mean value operators on noncompact symmetric spaces
نویسندگان
چکیده
منابع مشابه
Observability on Noncompact Symmetric Spaces
The \classical case" is the case in which X is a compact riemannian manifold and D is the (positive de nite) Laplacian. Then (1.1) is the heat equation on X . In this paper we'll look at the special case where X is a riemannian symmetric space of noncompact type. Thus X is a noncompact riemannian manifold with a very large symmetry group G, harmonic analysis on X is understood in terms of the s...
متن کاملHyperpolar Homogeneous Foliations on Noncompact Symmetric Spaces
We introduce examples of hyperpolar actions on noncompact symmetric spaces that induce a regular foliation. We study some properties of these actions. Finally, we show that any hyperpolar action on a noncompact symmetric space that induces a regular foliation is one of these examples.
متن کاملL-multipliers for Noncompact Symmetric Spaces.
Let G be a real noncompact semi-simple Lie group with finite center and K a maximal compact sub-group. The symmetric space M = G/K carries a measure invariant under the action of G. The operators which map L(p)(M) continuously into itself and commute with the action of G, can be easily characterized when p = 2 or p = 1. This note gives some results on "singular integrals" which map L(p) into it...
متن کاملCohomogeneity One Actions on Noncompact Symmetric Spaces of Rank One
We classify, up to orbit equivalence, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers, and on the complex hyperbolic spaces CHn, n ≥ 3. For the quaternionic hyperbolic spaces HHn, n ≥ 3, we reduce the classification problem to a problem in quaternionic linear algebra and obtain partial results. For real hyperbolic spaces, this classificat...
متن کاملAnalytic Continuation of Resolvent Kernels on Noncompact Symmetric Spaces
Let X = G/K be a symmetric space of noncompact type and let ∆ be the Laplacian associated with a G-invariant metric on X . We show that the resolvent kernel of ∆ admits a holomorphic extension to a Riemann surface depending on the rank of the symmetric space. This Riemann surface is a branched cover of the complex plane with a certain part of the real axis removed. It has a branching point at t...
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: 2017
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2016.12.022