Abstract
Collisionless damping of electrical waves in plasma is investigated in the frame of the Landau's formulation of the problem. The principle of regularization of the Landau singular integral is used, which differs of the Landau rule. The exact solution of the corresponding dispersion equation is obtained. The results of the calculations lead to the existence of a discrete spectrum of frequencies and discrete spectrum of dispersion curves. Analytical results are in good agreement with the results of direct mathematical experiments.
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