On the determination of a Hill’s equation from its spectrum
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- by Wallace Goldberg PDF
- Bull. Amer. Math. Soc. 80 (1974), 1111-1112
References
- Wilhelm Magnus and Stanley Winkler, Hill’s equation, Interscience Tracts in Pure and Applied Mathematics, No. 20, Interscience Publishers John Wiley & Sons, New York-London-Sydney, 1966. MR 0197830
- Göran Borg, Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte, Acta Math. 78 (1946), 1–96 (German). MR 15185, DOI 10.1007/BF02421600
- Harry Hochstadt, On the determination of a Hill’s equation from its spectrum, Arch. Rational Mech. Anal. 19 (1965), 353–362. MR 181792, DOI 10.1007/BF00253484
- Peter Ungar, Stable Hill equations, Comm. Pure Appl. Math. 14 (1961), 707–710. MR 176148, DOI 10.1002/cpa.3160140403
- Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, and Francesco G. Tricomi, Higher transcendental functions. Vol. III, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. Based, in part, on notes left by Harry Bateman. MR 0066496 6. P. Lax, Personal communication.
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 1111-1112
- MSC (1970): Primary 34B30, 34E05
- DOI: https://doi.org/10.1090/S0002-9904-1974-13633-5
- MathSciNet review: 0364726