An extension of the fourier convolution theorem in terms of poisson brackets

Hachiro Akama

Physica A: Statistical Mechanics and its Applications, 1988, vol. 149, issue 3, 631-637

Abstract: The Fourier convolution theorem is extended to cover nonstationary and inhomogeneous phenomena. The Fourier transforms of input and transfer functions, F and K, are assumed to be slowly varying functions of x and t. The first-order corrections to the usual convolution theorem are given by Poisson brackets of F and K. These are calculated over k, ω, x and t. The method is applied to study induced currents in a plasma.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:149:y:1988:i:3:p:631-637

DOI: 10.1016/0378-4371(88)90124-0

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