On a Theorem of Kac and Gilbert

@inproceedings{Simon2004OnAT,
  title={On a Theorem of Kac and Gilbert},
  author={Barry Simon},
  year={2004}
}
We prove a general operator theoretic result that asserts that many multiplicity two selfadjoint operators have simple singular spectrum. 

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On subordinacy and analysis of the spectrum of Schrödinger operators with two singular endpoints

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  • Proc. Roy. Soc. Edinburgh Sect. A
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Highly Influential
4 Excerpts

On exponential representations of analytic functions in the upper half-plane with positive imaginary part

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Highly Influential
3 Excerpts

On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators

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  • J. Math. Anal. Appl
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1 Excerpt

Spectral multiplicity of a second-order differential operator and expansion in eigenfunction

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  • Izv. Akad. Nauk SSSR Ser. Mat
  • 1963
1 Excerpt

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