The Fourier transforms of weighted orbital integrals on simisimple groups of real rank one.
The Fourier-Stieltjes algebra of a semisimple group
The Fubini Theorem and Convolution Formula for Regular Measures.
The Gelfand transforms of a convolution measure algebra
The generalized almost periodic part of an ergodic function
The generalized purity law for ergodic measures: a simple proof
The Geometric Traveling Salesman Problem in the Heisenberg Group.
The Green formula and HP Spaces on trees.
The GRS-condition and symmetry of weighted L¹-algebras
The Haar measure of certain sets in the Bohr group
The Hahn-Banach theorem implies the Banach-Tarski paradox
The Hahn-Vitali-Saks and the uniform boundedness theorem in topological groups.
The heat kernel on Lie groups.
The Helgason-Fourier transform for symmetric spaces. II.
The Herz-Schur multiplier norm of sets satisfying the Leinert condition
It is well known that in a free group , one has , where E is the set of all the generators. We show that the (completely) bounded multiplier norm of any set satisfying the Leinert condition depends only on its cardinality. Consequently, based on a result of Wysoczański, we obtain a formula for .
The infinite Brownian loop on a symmetric space.
The Injection and the Protection Theorem for Spectral Sets
The invariance principle for random variables with values in locally compact groups
The irreducible unitary -spherical representations of
The Levi-Civita equation, vector modules and spectral synthesis
The purpose of this paper is to give a survey on some recent results concerning spectral analysis and spectral synthesis in the framework of vector modules and in close connection with the Levi-Civita functional equation. Further, we present some open problems in this subject.