A remark about calculation of the jump of the resolvent in Friedrichs' model

Authors

  • Evheniy Vasylevych Cheremnikh National University "Lviv Polytechnic" 12, S.Bandery str, Lviv, Ukraine, 79013, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2012.3317

Keywords:

Friedrich's model, continuous spectrum, factorization, resolvent, jump

Abstract

The conditions on the Friedrich's model, which permit to write the formula for the jump of the resolvent on continuous spectrum are indicated

Author Biography

Evheniy Vasylevych Cheremnikh, National University "Lviv Polytechnic" 12, S.Bandery str, Lviv, Ukraine, 79013

Professor of department of high mathematics

References

  1. Berezansky Yu.M. Decomposition on eigenvalues of selfadjoint operators, 1965,748 p. (russian)
  2. Ljance V.E. Completment continue pertrubation of continuous spectrum Mat. sb. I 82(124), 1970, 126-156,II 84(126), 1971,141-158 (russian).
  3. Cheremnikh E.V. On limit values of the resolvent on continuous spectrum, Visnyk "`Lviv polytechnic"', 1997,320,196-203. (russian)

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Published

2012-02-01

How to Cite

Cheremnikh, E. V. (2012). A remark about calculation of the jump of the resolvent in Friedrichs’ model. Eastern-European Journal of Enterprise Technologies, 1(4(55), 37–40. https://doi.org/10.15587/1729-4061.2012.3317

Issue

Vol. 1 No. 4(55) (2012): Mathematics and cybernetics - fundamental and applied aspects

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2014 Evheniy Vasylevych Cheremnikh

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