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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 (Cauchy integral)

Alexandr Fischer (1999)

Mathematica Bohemica

This paper generalizes earlier author's results where the linear and quasilinear equations with constant coefficients were treated. Here the method of limit passages and a fixed-point theorem is used for the linear and quasilinear equations with almost periodic coefficients.

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...