نتایج جستجو برای: locally compact group affine pseudoframe

تعداد نتایج: 1150508  

Journal: :sahand communications in mathematical analysis 2015
ali akbar arefijammal fahimeh arabyani neyshaburi

in this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the fourier transform. as a consequence, we extend the fundamental theorems of abelian fourier transform to non-abelian case.

2000
M. V. Altaisky

The φ 4 field model is generalized to the case when the field φ(x) is defined on a Lie group: S[φ] = x∈G L[φ(x)]dµ(x), dµ(x) is the left-invariant measure on a locally compact group G. For the particular case of the affine group G : x ′ = ax +b, a ∈ R+, x, b ∈ R n the Feynman perturbation expansion for the Green functions is shown to have no ultraviolet divergences for certain choice of λ(a) ∼ ...

Journal: :Geometric and Functional Analysis 2021

The classical Gaussian functor associates to every orthogonal representation of a locally compact group G probability measure preserving action called action. In this paper, we generalize construction by associating affine isometric on Hilbert space, one-parameter family nonsingular actions whose ergodic properties are related in very subtle way the geometry original We show that these exhibit ...

2013
William M. Goldman

An affinely flat manifold (or just affine manifold) is a manifold with a distinguished coordinate atlas with locally affine coordinate changes. Equivalently M is a manifold equipped with an affine connection with vanishing curvature and torsion. A complete affine manifold M is a quotient E/Γ where Γ ⊂ Aff(E) is a discrete group of affine transformations acting properly on E. This is equivalent ...

2008
Matthew Daws Volker Runde

A locally compact group G is amenable if and only if it has Reiter’s property (Pp) for p = 1 or, equivalently, all p ∈ [1,∞), i.e., there is a net (mα)α of non-negative norm one functions in L(G) such that limα supx∈K ‖Lx−1mα − mα‖p = 0 for each compact subset K ⊂ G (Lx−1mα stands for the left translate of mα by x ). We extend the definitions of properties (P1) and (P2) from locally compact gro...

Journal: :Proceedings of the American Mathematical Society 1971

Journal: :Publications of the Research Institute for Mathematical Sciences 2020

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