On a theorem of Kac and Gilbert

Journal of Functional Analysis

Volumn 223, Issue 1, 2005, Pages 109-115

  Simon, Barry ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Kac Gilbert; Singular spectrum; Spectral theory

Indexed keywords

EID: 17844406899     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2004.08.015     Document Type: Article

References (10)

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2. F. Gesztesy B. Simon The xi function Acta Math. 176 1 1996 49-71
3. D.J. Gilbert On subordinacy and analysis of the spectrum of Schrödinger operators with two singular endpoints Proc. Roy. Soc. Edinburgh Sect. A 112 1989 213-229
4. D.J. Gilbert On subordinacy and spectral multiplicity for a class of singular differential operators Proc. Roy. Soc. Edinburgh A 128 1998 549-584
5. D.J. Gilbert D.B. Pearson On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators J. Math. Anal. Appl. 128 1987 30-56
6. I.S. Kac On the multiplicity of the spectrum of a second-order differential operator Soviet Math. Dokl. 3 1962 1035-1039
7. I.S. Kac, Spectral multiplicity of a second-order differential operator and expansion in eigenfunction, Izv. Akad. Nauk SSSR Ser. Mat. 27 (1963) 1081-1112 [Russian]. Erratum, Izv. Akad. Nauk SSSR 28 (1964) 951-952.
8. B. Simon, Spectral analysis of rank one perturbations and applications, in: Mathematical Quantum Theory, II: Schrödinger Operators (Vancouver, BC, 1993), CRM Proceedings Lecture Notes, vol. 8, American Mathematical Society, Providence, RI, 1995, pp. 109-149.
9. B. Simon, Orthogonal Polynomials on the Unit Circle, Part 1: Classical Theory, AMS Colloquium Series, American Mathematical Society, Providence, RI, 2005.
10. B. Simon, Orthogonal Polynomials on the Unit Circle, Part 2: Spectral Theory, AMS Colloquium Series, American Mathematical Society, Providence, RI, 2005.