On conditions for the finiteness of the discrete spectrum of the characteristic equations of the radiation transfer theory. (Russian) Zbl 0552.47009

Kozhukhar’, P. A.; Fel’dman, I. A.

Mat. Issled. 77, 98-103 (1984).

The authors have published results on the finiteness of the spectrum of perturbed self-adjoint operators [Mat. Issled. 47, 35-40 (1978; Zbl 0425.47008)]. Continuing those investigations a condition for the finiteness of the discrete spectrum of the characteristic equation of the radiation transfer theory depending on the modulus of continuity of the dispersion indicatrix is proved.

Reviewer: K.Barckow

MSC:

47A55	Perturbation theory of linear operators
47A10	Spectrum, resolvent
47B25	Linear symmetric and selfadjoint operators (unbounded)
82C70	Transport processes in time-dependent statistical mechanics

Keywords:

finiteness of the spectrum of perturbed self-adjoint operators; finiteness of the discrete spectrum; characteristic equation of the radiation transfer theory; modulus of continuity of the dispersion indicatrix

Citations:

Zbl 0425.47008