Geodesic
On transformation operator for the system of Dirac equations with summable potentials
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 19-23 
H. M. Huseynov; A. R. Latifova. On transformation operator for the system of Dirac equations with summable potentials. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 19-23. http://geodesic.mathdoc.fr/item/ISU_2011_11_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper proves the existence of the transformation operator for summable functions and finds the analogy of the formula for the potential with the transformation operator in the given case.

[1] Gasymov M. G., “Reshenie obratnoi zadachi po dvum spektram dlya uravneniya Diraka na konechnom otrezke”, Dokl. AN Azerb. SSR, 22:7 (1966), 3–6 | MR

[2] Dzhabiev T. T., “Obratnaya zadacha uravneniya Diraka s osobennostyu”, Dokl. AN Azerb. SSR, 22:11 (1966), 8–12 | MR | Zbl

[3] Mamedov S. G., “Obratnaya granichnaya zadacha dlya sistemy uravnenii Diraka na konechnom intervale”, Uchen. zapiski Azerb. gos. un-ta, 1975, no. 5, 61–67

[4] Albeverio S., “Inverse spectral problems for Dirac operators with summable potentials”, Rus. J. of Math. Physics, 12:4 (2005), 406–423 | MR | Zbl