On a class of weakly almost periodic mappings.
On almost even arithmetical functions via orthonormal systems on Vilenkin groups
On Beurling measure algebras
We show how the measure theory of regular compacted-Borel measures defined on the -ring of compacted-Borel subsets of a weighted locally compact group provides a compatible framework for defining the corresponding Beurling measure algebra , thus filling a gap in the literature.
On compactifying semigroups.
On extending continuous functions on dense subsemigroups.
On functional equations associated with characters of unitary representations of groups.
On functional polynomials spanned by characters of unitary representations. (Summary).
On functions with scattered spectra on lea groups
On group topologies and idempotents in weak almost periodic compactifications.
On Hartman almost periodic functions
We consider multi-dimensional Hartman almost periodic functions and sequences, defined with respect to different averaging sequences of subsets in or . We consider the behavior of their Fourier-Bohr coefficients and their spectrum, depending on the particular averaging sequence, and we demonstrate this dependence by several examples. Extensions to compactly generated, locally compact, abelian groups are considered. We define generalized Marcinkiewicz spaces based upon arbitrary measure spaces...
On nth-order differential operators with Bohr-Neugebauer type property.
On semitopological compactifications of nonabelian groups.
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 the Bohr Compactification of a Transformation Group.
On the spectrum of weakly almost periodic solutions of certain abstract differential equations.
On trigonometric polynomials spanned by characters of unitary representations.
On φ-inner amenable Banach algebras
Generalizing the concept of inner amenability for Lau algebras, we define and study the notion of φ-inner amenability of any Banach algebra A, where φ is a homomorphism from A onto ℂ. Several characterizations of φ-inner amenable Banach algebras are given.