The form of discrete spectrum in the case of high singular potential
Applications of Mathematics, Tome 16 (1971) no. 3, pp. 168-171

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In the present paper the form of discrete spetrum for high-singular potential when solving the inverse problem of scattering is discussed on the basis of the results by Agronovich and Marchenko. It is proved that the number of dicrete spectrum points for potentials which are positive in the neighbourhood of the origin is finite.
In the present paper the form of discrete spetrum for high-singular potential when solving the inverse problem of scattering is discussed on the basis of the results by Agronovich and Marchenko. It is proved that the number of dicrete spectrum points for potentials which are positive in the neighbourhood of the origin is finite.
DOI : 10.21136/AM.1971.103342
Classification : 34B30
Lelek, Vladimír; Wiesner, Jan. The form of discrete spectrum in the case of high singular potential. Applications of Mathematics, Tome 16 (1971) no. 3, pp. 168-171. doi: 10.21136/AM.1971.103342
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[1] 3. С. Агронович В. А. Марченко: Обратная задіга теории рассеяния. Харьков, 1960

[2] N. Limič: Nuovo Cimento 26 (1962), No 3, 581. | DOI | MR

[3] Рофе-Бекетов, Христоф: ДАН СССР, 168 (1966), № 6, 1265-1268. | MR | Zbl

[4] И. M. Глазман: ДАН СССР, 80 (1951), № 1, 153-156. | MR | Zbl

[5] E. Kamke: Differentialgleichungen, Lösungsmethoden und Lösungen. Leipzig, 1959.

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