The non-semi-simple term in the trace formula for rank one lattices.
The norm of the Fourier transform on finite abelian groups
For we calculate the norm of the Fourier transform from the space on a finite abelian group to the space on the dual group.
The norm spectrum in certain classes of commutative Banach algebras
Let A be a commutative Banach algebra and let be its structure space. The norm spectrum σ(f) of the functional f ∈ A* is defined by , where f·a is the functional on A defined by ⟨f·a,b⟩ = ⟨f,ab⟩, b ∈ A. We investigate basic properties of the norm spectrum in certain classes of commutative Banach algebras and present some applications.
The Norm-Strict Bidual of a Banach Algebra and the Dual of Cu(G).
The number of extensions of an invariant mean
The order structure of the space of measures with continuous translation
Let be a locally compact group, and let be a function norm on such that the space of all locally integrable functions with finite -norm is an invariant solid Banach function space. Consider the space of all functions in of which the right translation is a continuous map from into . Characterizations of the case where is a Riesz ideal of are given in terms of the order-continuity of on certain subspaces of . Throughout the paper, the discussion is carried out in the context...
The Pick problem and the Cole-Lewis-Wermer theorem.
The Pick problem in and and the Cole-Lewis-Wermer problem.
The plancherel formula for group extensions
The plancherel formula for group extensions II
The Plancherel formula for the pseudo-riemannian space
The Plancherel Measure in Nilpotent Lie Groups as a Limit of Point Measures.
The Plancherel theorem for general semisimple groups
The Poisson boundary of random rational affinities
We prove that in order to describe the Poisson boundary of rational affinities, it is necessary and sufficient to consider the action on real and all -adic fileds.
The Poisson equation in homogeneous Sobolev spaces.
The Poisson Kernel for Heisenberg Polynomials on the Disk.
The Poisson summation formula.
The Poisson Transform for Split Reductive Symmetric Spaces.
The prevalence of permutations with infinite cycles
A number of recent papers have been devoted to the study of prevalence, a generalization of the property of being of full Haar measure to topological groups which need not have a Haar measure, and the dual concept of shyness. These concepts give a notion of "largeness" which often differs from the category analogue, comeagerness, and may be closer to the intuitive notion of "almost everywhere." In this paper, we consider the group of permutations of natural numbers. Here, in the sense of category,...
The primitivity of semigroup algebras of free products.