Geodesic
Estimation of the Cauchy function for finite-zone nonperiodic potentials
Funkcionalʹnyj analiz i ego priloženiâ, Tome 26 (1992) no. 2, pp. 18-28.

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B. M. Levitan; A. B. Khasanov. Estimation of the Cauchy function for finite-zone nonperiodic potentials. Funkcionalʹnyj analiz i ego priloženiâ, Tome 26 (1992) no. 2, pp. 18-28. http://geodesic.mathdoc.fr/item/FAA_1992_26_2_a2/

[1] Rofe-Beketov F.S., “Priznak konechnosti chisla diskretnykh urovnei, vnosimykh v lakuny nepreryvnogo spektra vozmuscheniyami periodicheskogo potentsiala”, DAN SSSR, 156:3 (196), 515–518 | MR | Zbl

[2] Firsova N.E., “Formula sleda dlya vozmuschennogo odnomernogo operatora Shredingera s periodicheskim potentsialom”, Problemy matem. fiziki, 7, Izd. LGU, 1974, 162–177 | MR

[3] Firsova N.E., “Pryamaya i obratnaya zadacha rasseyaniya dlya odnomernogo vozmuschennogo operatora Khilla”, Matem. sb., 130(172):3(7) (1986), 349–385 | MR | Zbl

[4] Bikbaev R.F., Sharipov R.A., “Asimptotika pri $t\to\infty$ resheniya zadachi Koshi dlya uravneniya Kortevega–de Friza v klasse potentsialov s konechnozonnym povedeniem pri $x\to\pm\infty$”, TMF, 78:3 (1989), 345–356 | MR | Zbl

[5] Bikbaev R.F., Ob uravnenii Kortevega-de Friza s konechnozonnymi granichnymi usloviyami, Bashkirskii nauchnyi tsentr AN SSSR, 1988

[6] Bikbaev R.F., “Vremennaya asimptotika resheniya nelineinogo uravneniya Shredingera s granichnymi usloviyami tipa “stupenki””, TMF, 81:1 (1989), 3–11 | MR | Zbl

[7] Levitan B.M., “Obratnaya zadacha Shturma–Liuvillya dlya konechnozonnykh i beskonechnozonnykh potentsialov”, Tr. Mosk. matem. ob-va, 45, 1982, 3–36 | MR | Zbl

[8] Novikov S.P., “Periodicheskaya zadacha Kortevega-de Friza”, Funktsion. analiz i ego pril., 8:3 (1974), 54 | MR | Zbl

[9] Dubrovin B.L., “Periodicheskaya zadacha dlya uravneniya Kortevega-de Friza v klasse konechnozonnykh potentsialov”, Funkts. analiz i ego pril., 9:3 (1975), 41–51 | MR | Zbl

[10] Trubwitz E., “The inverse problem for periodic potentials”, Comm. pure Appl. Math., 30 (1977), 321–327 | DOI | MR

[11] Levitan B.M., Obratnye zadachi Shturma–Liuvillya, Nauka, M., 1984 | MR

[12] Its A.R., Matveev V.B., “Ob operatorakh Shredingera s konechnozonnym spektrom i $\mathcal N$-solitonnye resheniya uravneniya Kortevega-de Friza”, TMF, 23:1 (1975), 51–68 | MR