Construction of spectral decomposition for non-self-adjoint friedrichs model operator

Construction of spectral decomposition for non-self-adjoint friedrichs model operator

The spectral decomposition for the non-self-adjoint Friedrichs model is given and a generalization of the well-known Weyl function in non-self-adjoint cases is given. It is found that for the non-self-adjoint Friedrichs model, an arbitrary space element can be presented as a linear combination of th...

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Bibliographic Details
Main Authors: Evhen Cheremnikh, Halyna Ivasyk, Vladislav Alieksieiev, Mariia Kuchma, Oksana Brodyak
Format: Article
Language:English
Published: PC Technology Center 2018-08-01
Series:Eastern-European Journal of Enterprise Technologies
Subjects:
Sturm-Liouville operator
Friedrichs model
Fourier transform
Weyl function
continuous spectrum
branching of the resolvent
maximal operator
Online Access:http://journals.uran.ua/eejet/article/view/140717

Internet

http://journals.uran.ua/eejet/article/view/140717

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