Almost periodic homeomorphisms ofE2are periodic

Powers of Homeomorphisms with Almost Periodic Properties

Let X be a topological space (an "accessible space," a "1-space," or a " TV-space " in the terminology of Fréchet, Kuratowski, or Alexandroff-Hopf, respectively) and let f(X) = X be a homeomorphism. We use the following terminology, which was suggested by G. A. Hedlund and which is to be carefully distinguished from those terminologies used by Birkhoff, Ayres, Whyburn, and others. A point x of ...

On periodic homeomorphisms of spheres

The purpose of this paper is to study how small orbits of periodic homemorphisms of spheres can be. AMS Classification 57S25; 57N15

Almost Periodic Harmonizable Processes

The class of harmonizable processes is a natural extension of the class of stationary processes. This paper provides sufficient conditions for the sample paths of harmonizable processes to be almost periodic uniformly, Stepanov and Besicovitch.

Almost Periodic Compactifications

Almost periodic functions, constructively

Almost periodic functions form a natural example of a non-separable normed space. As such, it has been a challenge for constructive mathematicians to find a natural treatment of them. Here we present a simple proof of Bohr’s fundamental theorem for almost periodic functions which we then generalize to almost periodic functions on general topological groups.