The truncated Fourier Operator. IV

2009/03/21 by V. Katsnelson, Katsnelson, V., R. Machluf +1
Mathematics · #33E10 #34E05 #47E05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Spectral Theory (math.SP) #math.CA #math.SP #msc:33E10 #msc:34E05 #msc:47E05

paper · pdf · doi:10.48550/arxiv.0903.3660

34 pages

arxiv created 2009/03/21 · arxiv updated 2009/12/01

Abstract

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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