Operator Product on Locally Symmetric Spaces of Rank One and the Multiplicative Anomaly
نویسندگان
چکیده
منابع مشابه
On the number of ends of rank one locally symmetric spaces
Let Y be a noncompact rank one locally symmetric space of finite volume. Then Y has a finite number e(Y ) > 0 of topological ends. In this paper, we show that for any n ∈ N, the Y with e(Y ) ≤ n that are arithmetic fall into finitely many commensurability classes. In particular, there is a constant cn such that n-cusped arithmetic orbifolds do not exist in dimension greater than cn. We make thi...
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 کاملExtremely Non-symmetric, Non-multiplicative, Non-commutative Operator Spaces
Motivated by importance of operator spaces contained in the set of all scalar multiples of isometries (MI-spaces) in a separable Hilbert space for C∗-algebras and Esemigroups we exhibit more properties of such spaces. For example, if an MI-space contains an isometry with shift part of finite multiplicity, then it is one-dimensional. We propose a simple model of a unilateral shift of arbitrary m...
متن کاملPseudodifferential Operator Calculus for Generalized Q-rank 1 Locally Symmetric Spaces, I
This paper is the first of two papers constructing a calculus of pseudodifferential operators suitable for doing analysis on Q-rank 1 locally symmetric spaces and Riemannian manifolds generalizing these. This generalization is the interior of a manifold with boundary, where the boundary has the structure of a tower of fibre bundles. The class of operators we consider on such a space includes th...
متن کاملSingular Integrals on Symmetric Spaces of Real Rank One
In this paper we prove a new variant of the Herz majorizing principle for operators defined by K-bi-invariant kernels with certain large-scale cancellation properties. As an application, we prove L p-boundedness of operators defined by Fourier multipliers which satisfy singular differential inequalities of the Hörmander-Michlin type. We also find sharp bounds on the L p-norm of large imaginary ...
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: International Journal of Modern Physics A
سال: 2003
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x03015635