Generalized Kronecker's theorem and strong limit power functions
Abstract
In this paper Kronecker's theorem is extended to a quite general setting and the new version of the theorem is applied to investigate strong limit power functions. Three fundamental theorems of Fourier expansion are shown to be equivalent. Some principles for the convergence of Fourier series are given. The hull of strong limit power functions is characterized.
 Publication:

Alexandru Myller Mathematical Seminar Centennial Conference
 Pub Date:
 February 2011
 DOI:
 10.1063/1.3546091
 Bibcode:
 2011AIPC.1329..281Z
 Keywords:

 Fourier analysis;
 functional analysis;
 linear algebra;
 integral equations;
 02.30.Nw;
 02.30.Sa;
 02.10.Ud;
 02.30.Rz;
 Fourier analysis;
 Functional analysis;
 Linear algebra;
 Integral equations