## Recent advances in Fourier analysis and its applications |

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### Contents

Kovalyov and M Legare | 41 |

Donald J Newman and Andri Girotix | 79 |

Complex Analysis and Fourier Analysis | 100 |

Copyright | |

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### Common terms and phrases

acoustic algorithm amplitude antenna applications Borel measurable complex computation condition configuration conjugate conjugate gradient method constant convergence correlation corresponding covariance cylinder defined denote density diffraction eigenvalues eigenvectors electromagnetic elements equation ESPRIT estimates factor field Figure finite Fourier Analysis Fourier coefficients Fourier series Fourier transform frame frequency fundamental recurrence relation Gabor given GPOF method Green's function Hardy's inequality Heisenberg group Hilbert space hologram IEEE Trans integral invariant inversion irregular sampling iteration Laplace transformation linear Math matrix measure modified Cagniard noise obtained operator optical orthonormal orthonormal basis parameter phase plane poles polynomial problem Prony method proof properties radiation recurrence relation representation root class sampling rate satisfies scattering Section sensor sequence signal subspace singular sinusoids solution spatial spectral spectrum structure subarray subspace techniques Theorem uncertainty principle uncertainty principle inequality values vectors wave wavelet zero