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.
The principal series for a reductive symmetric space. I. -fixed distribution vectors
The problem of -simple spectrum for ergodic group automorphisms
The product formula for the spherical functions on symmetric spaces of noncompact type.
The Projection Theorem for Spectral Sets.
The reciprocal of the beta function and Whittaker functions
In this paper we derive, using the Gauss summation theorem for hypergeometric series, a simple integral expression for the reciprocal of Euler’s beta function. This expression is similar in form to several well-known integrals for the beta function itself.We then apply our new formula to the study of Whittaker functions, which are special functions that arise in the Fourier theory for automorphic forms on the general linear group. Specifically, we deduce explicit integral representations of “fundamental”...
The Rockland condition for nondifferential convolution operators II
The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets
The second dual algebra of a hypergroup.