English

On the Fourier analysis of operators on the torus

Functional Analysis 2008-02-05 v1 Analysis of PDEs

Abstract

Basic properties of Fourier integral operators on the torus are studied by using the global representations by Fourier series instead of local representations. The results can be applied to weakly hyperbolic partial differential equations.

Keywords

Cite

@article{arxiv.math/0612575,
  title  = {On the Fourier analysis of operators on the torus},
  author = {Michael Ruzhansky and Ville Turunen},
  journal= {arXiv preprint arXiv:math/0612575},
  year   = {2008}
}