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Strikingly different from typical presentations, Principles of Fourier Analysis provides an introduction to and comprehensive overview of the mathematical theory of Fourier analysis as it is used in applications in engineering, science, and mathematics. It presents the general results and formulas most useful to those who use Fourier analysis in their work, complete with indications of the limitations of those results and formulas. The author's uniquely accessible approach stimulates readers' understanding and appreciation of the fundamental concepts and helps them develop the ability to handle the more sophisticated mathematics ultimately required by Fourier analysis.
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Harmonic analysis. Fourier analysis --- Fourier analysis. --- Fourier, Analyse de --- Interpolation spaces. --- Espaces d'interpolation --- Function spaces. --- Espaces fonctionnels --- Fourier analysis --- Function spaces --- Interpolation spaces --- Spaces, Interpolation --- Spaces, Function --- Functional analysis --- Analysis, Fourier --- Mathematical analysis --- Fourier, Analyse de. --- Espaces d'interpolation. --- Espaces fonctionnels.
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Mathematical control systems --- Numerical analysis --- Computer. Automation --- Harmonic analysis. Fourier analysis --- Electronics --- Mathematics --- Ergodic theory. Information theory --- matrices --- Laplacetransformatie --- FT (Fourier transformatie) --- functies (wiskunde) --- Wiskunde en wetenschappen --- Toegepaste wiskunde --- Wiskunde voor elektrotechnici --- Wiskunde --- Engineering mathematics. --- Electrical engineering --- Mathematics. --- Toegepaste wiskunde. --- Wiskunde voor elektrotechnici. --- Wiskunde.
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The Advanced Study Institute brought together researchers in the main areas of special functions and applications to present recent developments in the theory, review the accomplishments of past decades, and chart directions for future research. Some of the topics covered are orthogonal polynomials and special functions in one and several variables, asymptotic, continued fractions, applications to number theory, combinatorics and mathematical physics, integrable systems, harmonic analysis and quantum groups, Painlevé classification.
Functions, Special --- Fonctions spéciales --- Congresses. --- Congrès --- Special functions --- Mathematical analysis --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Fonctions spéciales --- Congrès --- Special functions. --- Fourier analysis. --- Group theory. --- Combinatorics. --- Number theory. --- Special Functions. --- Fourier Analysis. --- Group Theory and Generalizations. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Combinatorics --- Groups, Theory of --- Substitutions (Mathematics) --- Analysis, Fourier --- Fonctions spéciales.
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