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Harmonic analysis. Fourier analysis --- 51 --- Mathematics --- Harmonic analysis --- Congresses. --- 51 Mathematics --- Groupes topologiques --- Analyse harmonique

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Analytical spaces --- Harmonic analysis. Fourier analysis --- Stochastic processes --- Mathematical potential theory --- Banach spaces --- Harmonic analysis --- Martingales (Mathematics) --- Congresses. --- Processus stochastiques --- Probabilités. --- Probabilities --- Probabilities. --- Stochastic processes. --- Probabilités --- Theorie du potentiel

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Harmonic analysis. Fourier analysis --- 51 --- Mathematics --- Convergence. --- Fourier series. --- 51 Mathematics --- Fourier series --- Convergence --- Fourier, Séries de --- Convergence (mathématiques) --- Convergence (mathématiques) --- Fourier, Séries de --- Analyse harmonique

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Mathematical analysis --- Operational research. Game theory --- Mathematical optimization --- Multipliers (Mathematical analysis) --- Optimisation mathématique --- Multiplicateurs (Analyse mathématique) --- 519.8 --- 519.6 --- 681.3*G16 --- Functional analysis --- Harmonic analysis --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Operational research --- Computational mathematics. Numerical analysis. Computer programming --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Mathematical optimization. --- Multipliers (Mathematical analysis). --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.8 Operational research --- Optimisation mathématique --- Multiplicateurs (Analyse mathématique) --- Equation de lagrange

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This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

Numerical analysis --- Harmonic analysis. Fourier analysis --- Fourier transformations --- Computer algorithms. --- Transformations de Fourier --- Algorithmes --- Data processing --- Informatique --- Computer algorithms --- 51-7 --- 517.4 --- -681.3*F21 --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Algorithms --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Functional determinants. Integral transforms. Operational calculus --- Numerical algorithms and problems: computation of transforms; computations infinite fields; computations on matrices; computations on polynomials; numer-theoretic computations--See also {681.3*G1}; {681.3*G4}; {681.3*I1} --- Data processing. --- 681.3*F21 Numerical algorithms and problems: computation of transforms; computations infinite fields; computations on matrices; computations on polynomials; numer-theoretic computations--See also {681.3*G1}; {681.3*G4}; {681.3*I1} --- 517.4 Functional determinants. Integral transforms. Operational calculus --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 681.3*F21 --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Fourier transformations - Data processing