Expansion Theorem for the Linearized Fokker-Planck Equation

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Abstract
The linearized Fokker‐Planck kinetic equation for each component of a homogeneous, nondegenerate, fully ionized plasma is separated by means of a spherical harmonic expansion into an infinite set of singular intergo‐differential equations. Each equation is shown to generate a continuous set of eigen‐functions, for which asymptotic high‐speed forms are found. By extending the theory of singular differential equations an expansion formula is developed, which is shown to be complete with respect to functions square integrable in velocity space

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