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An in-depth look at real analysis and its applications, including an introduction to waveletanalysis, a popular topic in ""applied real analysis"". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral,harmonic analysis and wavelet theory with many associated applications.*The text is relatively elementary at the start, but the level of difficulty steadily increases*The book contains many clear, detailed examples, case studies and exercises*Many real world applications relating to

Mathematical analysis. --- Wavelets (Mathematics) --- Wavelet analysis --- 517.1 Mathematical analysis --- Mathematical analysis --- Harmonic analysis

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This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.

Harmonische analyse. --- Wavelets. --- Harmonic analysis. --- Wavelets (Mathematics) --- Analyse harmonique --- Ondelettes --- Harmonic analysis --- Mathematics. --- Fourier analysis. --- Abstract Harmonic Analysis. --- Fourier Analysis. --- Mathematical Theory --- Operations Research --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Wavelets (Mathematics). --- Wavelet analysis --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Analysis, Fourier --- Math --- Mathematical analysis --- Banach algebras --- Calculus --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Science

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As the applications of wavelet transform have spread to diverse areas of signal analysis and compression, students and practitioners need a practical introduction and overview. This textbook provides that concise and practical introduction to the underlying foundations and important applications. Through numerous examples and case studies from industry, it demonstrates both the potential and the limits of wavelet techniques, expanding the usual treatment beyond the discrete wavelet transform to the continuous transform. Providing the basics of Fourier transforms and digital filters in the appendix, the text is supplemented with end-of-chapter exercises, MATLAB code, and a short introduction to the MATLAB wavelet toolbox. Students of electrical engineering and engineers in industry can benefit from the concentration on real applications. .

Signal processing --- Wavelets (Mathematics) --- Traitement du signal --- Ondelettes --- Mathematics --- Mathématiques --- Electronic books. -- local. --- Signal processing -- Mathematics. --- Wavelets (Mathematics). --- Electrical Engineering --- Applied Physics --- Telecommunications --- Engineering & Applied Sciences --- Electrical & Computer Engineering --- Mathematics. --- Mathématiques --- EPUB-LIV-FT LIVINGEN SPRINGER-B --- Wavelet analysis --- Engineering. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Signal, Image and Speech Processing. --- Appl.Mathematics/Computational Methods of Engineering. --- Applications of Mathematics. --- Theoretical, Mathematical and Computational Physics. --- Harmonic analysis --- Mathematical and Computational Engineering. --- Math --- Science --- Engineering --- Engineering analysis --- Mathematical analysis --- Signal processing. --- Image processing. --- Speech processing systems. --- Mathematical physics. --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Physical mathematics --- Physics