
TITLE:
   Refined Fourier analysis: procedures, error estimates and applications

AUTHORS:
G. Gomez 
     Departament de Matematica Aplicada i Analisi,
     Universitat de Barcelona,
     Gran Via 585, 08007 Barcelona, Spain
     email: gerard@maia.ub.es
J.M. Mondelo 
     Departament de Matematica Aplicada I,
     Universitat Politecnica de Catalunya,
     Diagonal 647, 08028 Barcelona, Spain
     email: mondelo@ma1.upc.es
C. Simo
     Departament de Matematica Aplicada i Analisi,
     Universitat de Barcelona,
     Gran Via 585, 08007 Barcelona, Spain
     email: carles@maia.ub.es

ABSTRACT:
The purpose of this paper is to develop and analyze Fourier analysis
procedures that allow an accurate determination of the frequencies
and the amplitudes when the analyzed function is quasi--periodic or
close to it. The procedures and theoretical results are illustrated
with examples and applications.

