A Qualitative Uncertainty Principle for Certain Locally Compact Groups.
A remark on a Marcinkiewicz-Hörmander multiplier theorem for some non-differential convolution operators
A Remark on Continuity of Translation Invariant Functionals on L... (G) for Compact Lie Groups G.
A Remark on Discontinuous Translation Invariant Functionals on L... (G) for Certain Compact Groups G.
A remark on entropy of Abelian groups and the invariant uniform approximation property
A remark on Fourier-Stieltjes transform
A remark on harmonic analysis of strongly almost-periodic groups of linear operators
A remark on the asymmetry of convolution operators
A convolution operator, bounded on , is bounded on , with the same operator norm, if and are conjugate exponents. It is well known that this fact is false if we replace with a general non-commutative locally compact group . In this paper we give a simple construction of a convolution operator on a suitable compact group , wich is bounded on for every and is unbounded on if .
A restriction theorem for the Heisenberg motion
We prove a restriction theorem for the class-1 representations of the Heisenberg motion group. This is done using an improvement of the restriction theorem for the special Hermite projection operators proved in [13]. We also prove a restriction theorem for the Heisenberg group.
A result on spectral synthesis of direct products.
A semi-group of probability measures with non-smooth differentiable densities on a Lie group
A Short Proof of a Classical Covering Lemma.
A simple diophantine condition in harmonic analysis
A simple-minded computation of heat kernels on Heisenberg groups
We compute the heat kernel on the classical and nonisotropic Heisenberg groups, and on the free step two nilpotent groups , by an elementary method, in particular without using Laguerre calculus.
A Simplified Constructive Proof of the Existence and Uniqueness of Haar Measure.
A smooth subadditive homogeneous norm on a homogeneous group
A solution of the D'Alembert's functional equation on a locally compact Abelian group.
A solution of the functional equation ...(x-y) = ...aj(x)... On a locally compact Abelian group. (Short Communication).
A spectral gap property for subgroups of finite covolume in Lie groups
Let G be a real Lie group and H a lattice or, more generally, a closed subgroup of finite covolume in G. We show that the unitary representation of G on L²(G/H) has a spectral gap, that is, the restriction of to the orthogonal complement of the constants in L²(G/H) does not have almost invariant vectors. This answers a question of G. Margulis. We give an application to the spectral geometry of locally symmetric Riemannian spaces of infinite volume.
A spectral gap theorem in SU
We establish the spectral gap property for dense subgroups of SU, generated by finitely many elements with algebraic entries; this result was announced...