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Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Fourier transform approach)

Alexandr Fischer (2004)

Mathematica Bohemica

This paper is a continuation of my previous paper in Mathematica Bohemica and solves the same problem but by means of another method. It deals with almost periodic solutions of a certain type of almost periodic systems of differential equations.

Almost periodicity and functional equations.

L. Székelyhidi (1983)

Aequationes mathematicae

Almost-Periodic Functions, Compactifications, and Faces of Finite-Dimensional Cones.

Michael Friedberg (1981)

Mathematische Zeitschrift

An amenability property of algebras of functions on semidirect products of semigroups.

Lerner, Bao-Ting (1983)

International Journal of Mathematics and Mathematical Sciences

Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.

P.K. Ratnakumar, S. Thangavelu (1995)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Bounded and almost automorphic solutions of a Liénard equation with a singular nonlinearity.

Cieutat, P., Fatajou, S., N'guérékata, G.M. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Characterising weakly almost periodic functionals on the measure algebra

Matthew Daws (2011)

Studia Mathematica

Let G be a locally compact group, and consider the weakly almost periodic functionals on M(G), the measure algebra of G, denoted by WAP(M(G)). This is a C*-subalgebra of the commutative C*-algebra M(G)*, and so has character space, say $K_{W A P}$ . In this paper, we investigate properties of $K_{W A P}$ . We present a short proof that $K_{W A P}$ can naturally be turned into a semigroup whose product is separately continuous; at the Banach algebra level, this product is simply the natural one induced by the Arens products. This...