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arXiv · 0902.0568

The truncated Fourier operator. III

Victor Katsnelson·Ronny Machluf
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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.

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Victor Katsnelson, Ronny Machluf. 2009-02-04. The truncated Fourier operator. III. https://arxiv.org/abs/0902.0568

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