Fourier Analysis: Nyquist-Shannon sampling theorem, Discrete cosine transform, Discrete Fourier transform, Bessel function  (English, Paperback, LLC Books, Books Group, Source Wikipedia)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 192. Chapters: Nyquist-Shannon sampling theorem, Discrete cosine transform, Discrete Fourier transform, Bessel function, Dirac delta function, Autocorrelation, Laplace's equation, Convolution, Topological group, Banach algebra, List of Fourier-related transforms, Frequency spectrum, Haar measure, Laplace transform, Fourier transform spectroscopy, Convolution theorem, Harmonic function, Basis function, Periodic function, Whittaker-Shannon interpolation formula, Fundamental frequency, Laplace operator, Modified discrete cosine transform, Fourier optics, Spherical harmonics, LTI system theory, Window function, Pontryagin duality, Multiplier, Discrete-time Fourier transform, Modulus of continuity, Sobolev space, Almost periodic function, Carleson's theorem, Ewald summation, Relations between Fourier transforms and Fourier series, Poisson summation formula, Analytic signal, Reciprocal lattice, Fractional Fourier transform, Solid harmonics, Spin-weighted spherical harmonics, Short-time Fourier transform, Uncertainty principle for the short-time Fourier transform, Riesz-Thorin theorem, Discrete Hartley transform, Linear canonical transformation, SigSpec, Discrete sine transform, Chirplet transform, Homogeneous distribution, Peter-Weyl theorem, Bilinear time-frequency distribution, Metaplectic group, Bloch wave - MoM method, Marcinkiewicz interpolation theorem, Spectral leakage, Orthonormal basis, Paley-Wiener theorem, Overlap-add method, FBI transform, Unit circle, Fourier inversion theorem, DFT matrix, Poisson kernel, Interpolation space, Littlewood-Paley theory, Motions in the time-frequency distribution, List of cycles, Parametrix, A derivation of the discrete Fourier transform, Parseval's theorem, Number-theoretic transform, Compact group, Overlap-save method, Set of uniqueness, Multitaper, Convolution power, Instantaneous phase, Di...