The truncated Fourier operator. III
Classical Analysis and ODEs
2009-02-04 v2 Spectral Theory
Abstract
The spectral theory of the Fourier operator (non-truncated) is expounded. The known construction of basis of eigenvectors consisting of the Hermite functions is presented. The detail description of the eigenspaces in the spirit of a work by Hardy and Titchmarsh is done.
Cite
@article{arxiv.0902.0568,
title = {The truncated Fourier operator. III},
author = {Victor Katsnelson and Ronny Machluf},
journal= {arXiv preprint arXiv:0902.0568},
year = {2009}
}
Comments
26 pages