Self-adjoint boundary conditions for the prolate spheroid differential operator

2016/03/24 by Victor Katsnelson, Katsnelson, Victor
Mathematics · #34E05 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47E05 #Secondary 33E10 #math.FA #msc:33E10 #msc:34E05 #msc:47E05

paper · pdf · doi:10.48550/arxiv.1603.07542

10 pages

arxiv created 2016/03/24 · arxiv updated 2016/03/25

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-adjoint differential operator which commute with the Fourier operator truncated on the considered finite symmetric interval.

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