The truncated Fourier operator. III

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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.
26 pages

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Classical Analysis and ODEs, Spectral Theory, 47A38 (Primary) 47B35, 47B06 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/218409

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.0568
 http://arxiv.org/abs/0902.0568

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arXiv