## An introduction to the linear theories and methods of electrostatic waves in plasmas |

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18 pages matching **Hilbert transforms** in this book

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### Contents

FOURIER LAPLACE AND HILBERT | 1 |

WAVES IN A CONDUCTIVITYTENSORDEFINED | 49 |

IONACOUSTIC WAVES WITH IONNEUTRAL | 89 |

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8 other sections not shown

### Common terms and phrases

Abramowitz and Stegun amplitude analytic continuation approximation assume behavior calculation causal Chapter charge cold plasma collective effects collisions complex plane compute corresponding cyclotron Debye sheath defined density perturbation density profile dielectric constant dipole discussed distance distribution function Doucet electric field electron plasma waves excitation experiment experimental finite Fourier-Laplace free-streaming given by Eq gives Gould grid Hilbert transforms infinite integrand inverse Fourier transform ion wave isothermal Landau damping Laplace transform linear low frequencies low-frequency magnetic field magnetically supported mathematical Maxwell's equations Maxwellian measured mode motion observed obtain oscillating particles perturbation produced phase velocity plasma column plasma density plasma frequency plasma physics Poisson's equation poles predicted probe problem properties purely electrostatic real axis roots Section shown in Fig shows side of Eq solution technique theoretical theory thermal speed tion transform in space values variable warm plasma wave number wave propagation waveguide wavelength write written zero

### References to this book

On a Class of Incomplete Gamma Functions with Applications M. Aslam Chaudhry,Syed M. Zubair Limited preview - 2001 |