On extensions of locally compact groups and unitary groups.
On generalized d'Alembert functional equation.
Let G be a locally compact group. Let σ be a continuous involution of G and let μ be a complex bounded measure. In this paper we study the generalized d'Alembert functional equationD(μ) ∫G f(xty)dμ(t) + ∫G f(xtσ(y))dμ(t) = 2f(x)f(y) x, y ∈ G;where f: G → C to be determined is a measurable and essentially bounded function.
On group algebras of nilpotent Lie groups
On group representations whose algebra is an ideal in its von Neumann algebra
Let be a continuous unitary representation of the locally compact group on the Hilbert space . Let be the algebra generated byThe main result obtained in this paper is Theorem 1:If is -compact and then supp is discrete and each in supp in CCR.We apply this theorem to the quasiregular representation and obtain among other results that implies in many cases that is a compact coset space.
On infinitely small orbits
On Integrable Representations.
On invariant subalgebras of the Fourier-Stieltjes algebra of a locally compact group.
On Isolated Points in the Dual Spaces of Locally Compact Groups.
On Kazhdan's property (T) and Kazhdan constants associated to a Laplacian for SL(3,R).
On Kazhdan's property (T) for Sp(k).
On LCA groups each of whose characters is ultimately measurable
On Mackey topologies in topological abelian groups.
On Mackey's Imprimitivity Theorem.
On Maximal Ideals in Group Algebras of SIN-Groups.
On Neutral Subgroups of Topological Groups.
On nonamenable groups.
On onesided harmonic analysis in non commutative locally compact groups.
On open subsemigroups of connected groups.
On Primary Ideals in Group Algebras.
On Primary Ideals in the Group Algebra of a Nilpotent Lie Group.