|
Hill's surfaces and their theta functions
Author(s):
H. P.
Mckean;
E.
Trubowitz
Journal:
Bull. Amer. Math. Soc.
84
(1978),
1042-1085.
MSC (1970):
Primary 14H40, 14H45, 14K25, 30A52;
Secondary 32G20, 34B30
MathSciNet review:
508448
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- H. F. Baker, Abel's theorem and the allied theory including the theory of the theta functions, Cambridge Univ. Press, New York, 1897.
- R. H. Cameron and W. T. Martin, Transformation of Wiener integrals under translations, Ann. of Math. (2) 45 (1944), 386-396. MR 10346
- T. Carleman, Les fonctions quasi-analytiques, Gauthier-Villars, Hermann, Paris, 1926.
- H. Dym and H. P. McKean, Fourier series and integrals, Academic Press, New York, 1972. MR 442564
- C. S. Gardner, J. M. Greene, M. D. Kruskal and R. M. Miura, Korteweg-deVries equation and generalizations, 6. Methods for exact solution, Comm. Pure Appl. Math. 27 (1974), 97-133. MR 336122
- H. Hochstadt, Function-theoretic properties of the discriminant of Hill's equation, Math. Z. 82 (1963), 237-242. MR 156022
- H. Hornich, Integrale erster Gattung auf Speziellen transzendenten Riemannschen Flächen, Monatsh. Math. Phys. 40 (1933), 241-282. MR 1550206
- H. Hornich, Beschränkte Integrale auf der Riemannschen Fläche von $\sqrt{\cos{\pi zøver 2}}$, Monatsh. Math. Phys. 42 (1935), 377-388. MR 1550435
- H. Hornich, Über transzendente Integrale erster Gattung, Monatsh. Math. Phys. 47 (1939), 380-387. MR 293
- A. R. Its and V. B. Matveev, Hill's operator with finitely many gaps, Functional Anal. Appl. 9 (1975), 65-66. MR 390355
- B. M. Levitan and I. S. Sargsjan, Introduction to spectral theory, Transl. Math. Monographs, Amer. Math. Soc., Providence, R. I., no. 39, 1975. MR 369797
- W. Magnus and W. Winkler, Hill's equation, Wiley, New York, 1966.
- H. P. McKean and P. van Moerbeke, The spectrum of Hill's equation, Invent Math. 30 (1975), 217-274. MR 397076
- H. P. McKean and E. Trubowitz, Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points, Comm. Pure Appl. Math. 29 (1976), 143-226. MR 427731
- P. J. Myrberg, Über transzendente hyperelliptische Integrale erster Gattung, Ann. Acad. Sci. Fennicae 14. (1943), 1-32. MR 15497
- P. J. Myrberg, Über analytische Funktionen auf transzendenten zweiblättrigen Riemannschen Flächen mit reelen Verzweigungspunkten, Acta. Math. 76 (1945), 185-224. MR 12675
- C. L. Siegel, Topics in complex function theory. vol. II, Wiley, New York, 1971. MR 1008931
- E. Trubowitz, The inverse problem for periodic potentials, Comm. Pure Appl. Math. 30 (1977), 321-337. MR 430403
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1970):
14H40, 14H45, 14K25, 30A52, 32G20, 34B30
Retrieve articles in all Journals with MSC
(1970):
14H40, 14H45, 14K25, 30A52, 32G20, 34B30
Additional Information:
DOI:
10.1090/S0002-9904-1978-14542-X
PII:
S 0002-9904(1978)14542-X
|
Comments: webmaster@ams.org