TY - BOOK AU - Hong,Don AU - Wang,Jianzhong AU - Gardner,Robert B. TI - Real analysis: with an introduction to wavelets and applications SN - 9780123548610 AV - QA403.3 .R428 2005eb U1 - 515/.2433 22 CY - Amsterdam, Boston PB - Elsevier Academic Press. KW - Mathematical analysis KW - MATHEMATICS KW - Infinity KW - bisacsh KW - Wavelets (Mathematics) KW - fast KW - Electronic books N1 - 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 N2 - 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 UR - http://www.sciencedirect.com/science/book/9780123548610 ER -