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Jaulent, Marcel; Jean, Cecile

The inverse problem for the one-dimensional Schrödinger equation with an energy-dependent potential. II. (English) Zbl 0357.34019

Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 25, 119-137 (1976).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 1 Review
Cited in 20 Documents

MSC:

34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
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References:

[1] M. Jaulent and C. Jean , The inverse problem for the one-dimensional Schrödinger equation with an energy-dependent potential. I , Ann. Inst. Henri Poincaré , Vol. XXV , n^\circ 2 , 1976 , p. 105 - 118 . Numdam | MR 441125 | Zbl 0357.34018 · Zbl 0357.34018
[2] M. Jaulent and C. Jean , Cahiers Mathématiques de Montpellier , n^\circ 7 , 1975 . Zbl 0341.35070 · Zbl 0341.35070
[3] I. Kay , Research Report n^\circ EM-74-NY-University , Inst. Math. Sci., Electromagnetic Research ; 1955 .
[4] I. Kay and H.E. Moses , Nuovo Cimento , t. 3 , 2 , 1956 , p. 276 - 304 . MR 76961 | Zbl 0074.22501 · Zbl 0074.22501 · doi:10.1007/BF02855840
[5] L.D. Faddeev , Trudy Mat. Inst. Steklov , t. 73 , 1964 , p. 314 - 336 , Amer. Math. Soc. Transl. ( 2 ), t. 65 , 1967 , p. 139 - 166 . MR 178188 | Zbl 0145.46702 · Zbl 0145.46702
[6] Z.S. Agranovich and V.A. Marchenko , The inverse problem of scattering theory , Gordon and Breach , New York , 1963 . MR 162497 | Zbl 0117.06003 · Zbl 0117.06003
[7] M. Jaulent , Ann. Inst. Henri Poincaré , Vol. XVII , n^\circ 4 , 1972 , p. 363 - 378 . Numdam | MR 363217
[8] K. Yosida , Functional Analysis , Springer-Verlag , Berlin - Heidelberg - New York , 1966 . Zbl 0126.11504 · Zbl 0126.11504
[9] E.C. Titchmarsh , Introduction to the theory of Fourier integrals , Oxford 1937 , second edition. Zbl 0017.40404 | JFM 63.0367.05 · Zbl 0017.40404
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