The truncated Fourier operator. III

Details The truncated Fourier operator. III The truncated Fourier operator. III

2009-02-03

arxiv.org/abs/0902.0568v2

Mathematics

Classical Analysis and ODEs

26 pages

Scientific paper

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.

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