Solve the linearized Vlasov equation (3.9) by the method of integral transforms, taking its Laplace transform in the time domain and the Fourier transform with respect to the space variables. Then, determine the dispersion relation for the modes of wave propagation in a hot isotropic plasma.

Equation

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afi(r, v, t) Ət e - +v⋅Vƒ₁ (r, v, t) — _—__ [E(r, t)+v×B(r, t)] · Vvfo(v) = 0 (3.9) me