The spectra of selfadjoint extensions of entire operators with deficiency indices (1,1)

Details The spectra of selfadjoint extensions of entire operators with deficiency indices (1,1) The spectra of selfadjoint extensions of entire operators with deficiency indices (1,1)

2011-04-25

arxiv.org/abs/1104.4765v2

Physics

Mathematical Physics

13 pages, no figures. An example added, typos corrected

Scientific paper

We give necessary and sufficient conditions for real sequences to be the spectra of selfadjoint extensions of an entire operator whose domain may be non-dense. For this spectral characterization we use de Branges space techniques and a generalization of Krein's functional model for simple, regular, closed, symmetric operators with deficiency indices (1,1). This is an extension of our previous work in which similar results were obtained for densely defined operators.

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