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

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

Citations:

Zbl 0425.47008
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