Real analysis : with an introduction to wavelets and applications /
Détails physiques : 1 online resource (xv, 369 pages) : illustrations. ISBN :9780123548610; 0123548616; 9780080540313 (electronic bk.); 0080540317 (electronic bk.).
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MATHEMATICS
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Infinity.
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Wavelets (Mathematics)
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Electronic books.
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Mathematical analysis.
Includes bibliographical references (p. 357-359) and index.
Fundamentals -- Measure theory -- The Lebesgue integral -- Special topics of Lebesgue integral and applications -- Vector spaces, Hilbert spaces, and the L2 space -- Fourier analysis -- Orthonormal wavelet bases -- Compactly supported wavelets -- Wavelets in signal processing.
An in-depth look at real analysis and its applications, including an introduction to wavelet analysis, 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 measure theory and pure analysis *Introduction to wavelet analysis.
Description based on print version record.
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