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@article{IM2_1982_18_2_a2, author = {B. M. Levitan}, title = {Almost periodicity of infinite-zone potentials}, journal = {Izvestiya. Mathematics }, pages = {249--273}, publisher = {mathdoc}, volume = {18}, number = {2}, year = {1982}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1982_18_2_a2/} }
B. M. Levitan. Almost periodicity of infinite-zone potentials. Izvestiya. Mathematics , Tome 18 (1982) no. 2, pp. 249-273. http://geodesic.mathdoc.fr/item/IM2_1982_18_2_a2/
[1] Gardner G., Green J., Kruskal M., Miura R., “A method for solving the Korteweg–de Vries equation”, Phys. Rev. Lett., 19 (1967), 1095–1098 | DOI
[2] Zakharov V. E., Faddeev L. D., “Uravnenie Kortevega–de Friza – vpolne integriruemaya gamiltonova sistema”, Funkts. analiz, 5:4 (1971), 18–27 | MR | Zbl
[3] Gardner G., “Korteweg–de Vries equation and generalizaton. IV: The Korteweg–de Vries equation as a hamiltonian system”, J. Math. Phys., 12:8 (1971), 1548–1551 | DOI | MR | Zbl
[4] Novikov S. P., “Periodicheskaya zadacha Kortevega–de Friza, I”, Funkts. analiz, 8:3 (1974), 54–56 | MR
[5] Dubrovin B. A., Novikov S. P., “Periodicheskii i uslovno periodicheskii analogi mnogosolitonnykh reshenii uravneniya Kortevega–de Friza”, ZhETF, 67:12 (1974), 2131–2143 | MR
[6] Akhiezer N. I., “Kontinualnyi analog ortogonalnykh mnogochlenov na sisteme intervalov”, Dokl. AN SSSR, 141:2 (1961), 263–266 | Zbl
[7] Its A. R., Matveev V. B., “Operatory Khilla s konechnym chislom lakun i mnogosolitonnye resheniya uravneniya Kortevega–de Friza”, TMF, 23:1 (1975), 51–67 | MR
[8] Dubrovin B. A., “Periodicheskaya zadacha dlya uravneniya Kortevega–de Friza v klasse konechno-zonnykh potentsialov”, Funkts. analiz, 9:3 (1975), 41–51 | MR | Zbl
[9] Dubrovin B. A., Matveev V. B., Novikov S. P., “Nelineinye uravneniya tipa Kortevega–de Friza”, Uspekhi matem. nauk, 31:1 (1976), 55–136 | MR | Zbl
[10] Myberg P. J., “Über Analitische Funktionen auf Transzendenten Zweiblätrigen Riemannschen Flächen mit Reelen Verzweigungspunkten”, Acta Math., 76 (1944), 185–224 | DOI | MR
[11] McKean H. P., Trubowitz E., “Hill's Operator and Hypper elliptic Function Theory in the Presence of infinitely many Branch Points”, Comm. Pure and Appl. Math., 29 (1976), 143–226 | DOI | MR | Zbl
[12] Levitan B. M., Pochti periodicheskie funktsii, Gostekhizdat, M., 1953
[13] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977 | MR | Zbl
[14] Trubowitz E., “The inverse problem for periodic potentials”, Comm. Pure and Appl. Math., 30 (1977), 321–337 | DOI | MR | Zbl