Geodesic
Similarity of $\operatorname{sgn}x\bigl(-\frac{d^2}{dx^2}+c\delta\bigr)$ Type Operators to Normal and Self-adjoint Operators
Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 134-139.

Voir la notice de l'article provenant de la source Math-Net.Ru

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I. M. Karabash; A. S. Kostenko. Similarity of $\operatorname{sgn}x\bigl(-\frac{d^2}{dx^2}+c\delta\bigr)$ Type Operators to Normal and Self-adjoint Operators. Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 134-139. http://geodesic.mathdoc.fr/item/MZM_2003_74_1_a14/

[1] Beals R., J. Differential Equations, 56:3 (1985), 391–407 | DOI | MR | Zbl

[2] Pyatkov S. G., Sib. matem. zh., 30:4 (1989), 111–124 | MR | Zbl

[3] Ćurgus B., Najman B., Proc. Amer. Math. Soc., 123 (1995), 1125–1128 | DOI | MR | Zbl

[4] Naboko S. N., Funktsion. analiz i ego prilozh., 18:1 (1984), 16–27 | MR | Zbl

[5] Malamud M. M., Ukr. matem. zh., 37:1 (1985), 49–56 | MR | Zbl

[6] Karabash I. M., Methods of Functional Analysis and Topology, 6:2 (2000), 22–49 | MR | Zbl

[7] Fadeev M. M., Shterenberg R. G., Zapiski nauch. sem. POMI, 270, POMI, SPb., 2000, 336–349

[8] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, T. 2, Vischa Shkola, Kharkov, 1978

[9] Derkach V. A., Malamud M. M., Ukr. matem. zh., 44:4 (1992), 435–459 | MR | Zbl

[10] Kusis P., Vvedenie v teoriyu prostranstv $H^p$, Mir, M., 1984

[11] Albeverio S., Gesztesy F., Hoegh-Krohn R., Holden H., Solvabel models in quantum mechanics, Springer, New York, 1988 | Zbl