On sets of completely uniform convergence
On Singular Integrals, Multipliers, H1 and Fourier Series ? a Local Field Phenomenon.
On some causal and conformal groups.
On some classes of Multiplicity Free representations.
On some dimension problems for self-affine fractals.
On some distal functions
On some general almost periodic optimal control problems : links with periodic problems and necessary conditions
In this paper, we are concerned with periodic, quasi-periodic (q.p.) and almost periodic (a.p.) Optimal Control problems. After defining these problems and setting them in an abstract setting by using Abstract Harmonic Analysis, we give some structure results of the set of solutions, and study the relations between periodic and a.p. problems. We prove for instance that for an autonomous concave problem, the a.p. problem has a solution if and only if all problems (periodic with fixed or variable...
On some general almost periodic Optimal Control problems: links with periodic problems and necessary conditions
In this paper, we are concerned with periodic, quasi-periodic (q.p.) and almost periodic (a.p.) Optimal Control problems. After defining these problems and setting them in an abstract setting by using Abstract Harmonic Analysis, we give some structure results of the set of solutions, and study the relations between periodic and a.p. problems. We prove for instance that for an autonomous concave problem, the a.p. problem has a solution if and only if all problems (periodic with fixed or variable...
On some generalized invariant means and their application to the stability of the Hyers-Ulam type
We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
On some properties of the class of stationary sets
Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.
On some series of representations related to symmetric spaces
On some spaces of linear functionals on the algebras for locally compact groups
On some special measures on ßG.
On spectral synthesis for curves in R...
On spectrality of the algebra of convolution dominated operators
If G is a discrete group, the algebra CD(G) of convolution dominated operators on l²(G) (see Definition 1 below) is canonically isomorphic to a twisted L¹-algebra . For amenable and rigidly symmetric G we use this to show that any element of this algebra is invertible in the algebra itself if and only if it is invertible as a bounded operator on l²(G), i.e. CD(G) is spectral in the algebra of all bounded operators. For G commutative, this result is known (see [1], [6]), for G noncommutative discrete...
On s-sets and mutual absolute continuity of measures on homogeneous spaces.
On strictly sparse subsets of a free group.
On strong Riesz sets
On symmetry of group algebras of discrete nilpotent groups
On tails of stationary measures on a class of solvable groups