On the spectral characterization of entire operators with deficiency indices (1,1)

Details On the spectral characterization of entire operators with deficiency indices (1,1) On the spectral characterization of entire operators with deficiency indices (1,1)

2009-09-05

arxiv.org/abs/0909.0987v4

Physics

Mathematical Physics

22 pages; 1 section added; references added; typos corrected; inaccuracy in a proof corrected

Scientific paper

For entire operators and entire operators in the generalized sense, we
provide characterizations based on the spectra of their selfadjoint extensions.
In order to obtain these spectral characterizations, we discuss the
representation of a simple, regular, closed symmetric operator with deficiency
indices (1,1) as a multiplication operator in a certain de Branges space.

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