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.
CITATION STYLE
Katsnelson, V. (2018). Self-adjoint boundary conditions for the prolate spheroid differential operator. In Operator Theory: Advances and Applications (Vol. 263, pp. 357–386). Springer International Publishing. https://doi.org/10.1007/978-3-319-68849-7_14
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