The truncated Fourier Operator. IV

Details The truncated Fourier Operator. IV The truncated Fourier Operator. IV

2009-03-21

arxiv.org/abs/0903.3660v1

Mathematics

Classical Analysis and ODEs

34 pages

Scientific paper

We consider the formal prolate spheroid differential operator on a finite
symmetric interval and describe all its self-adjoint boundary conditions. Only
one of these boundary conditions corresponds to a self-operator differential
operator which commutes with the Fourier operator truncated on the considered
finite symmetric interval.

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