How rare are multiple eigenvalues?

Communications on Pure and Applied Mathematics

Volumn 52, Issue 8, 1999, Pages 917-934

  Teytel, Mikhail ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033469793     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199908)52:8<917::AID-CPA1>3.0.CO;2-S     Document Type: Article

References (13)

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4. Colin de Verdière, Y. Sur une hypothèse de transversalité d'Arnold. (French) [On a transversality conjecture of Arnold] Comment. Math. Helv. 63 (1988), no. 2, 184-193.
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6. Ladyzhenskaya, O. A.; Ural'tseva, N. N. Linear and quasilinear elliptic equations. Translated from the Russian by Scripta Technica, Inc. Translation editor: Leon Ehrenpreis. Academic Press, New York-London, 1968..
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8. Müller, C. On the behavior of the solutions of the differential equation ΔU= F(x, U) in the neighborhood of a point. Comm. Pure Appl. Math. 7 (1954), no. 3, 505-515.
9. Rellich, F. Perturbation theory of eigenvalue problems. Assisted by J. Berkowitz. With a preface by Jacob T. Schwartz. Gordon and Breach Science Publishers, New York-London-Paris, 1969.
10. Riesz, F; Sz.-Nagy, B. Functional analysis. Translated from the second French edition by Leo F. Boron. Reprint of the 1955 original. Dover Books on Advanced Mathematics. Dover Publications, Inc., New York, 1990.
11. Teytel, M. Degeneracies in the spectra of self-adjoint operators. Doctoral dissertation. Courant Institute of Mathematical Sciences, 1996.
12. von Neumann, J.; Wigner, E. Über das Verhalten von Eigenwerten bei Adiabatischen Prozessen. Z. Phys. A 30 (l929), 467-470.
13. Uhlenbeck, K. Generic properties of eigenfunctions. Amer. J. Math 98 (1976), no. 4, 1059-1078.