| Description |
1 online resource (xv, 369 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file |
| Bibliography |
Includes bibliographical references (pages 357-359) and index. |
| Contents |
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. |
| Summary |
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 |
| Note |
Print version record. |
| Language |
English. |
| Subject |
Mathematical analysis.
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Analyse mathématique.
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MATHEMATICS -- Infinity.
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Mathematical analysis
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| Genre/Form |
dissertations.
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Academic theses
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Academic theses.
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Thèses et écrits académiques.
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| Added Author |
Hong, Don.
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Wang, Jianzhong.
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Gardner, Robert B. (Robert Bentley), 1963-
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| Other Form: |
Print version: Real analysis. Amsterdam ; Boston : Elsevier Academic Press, ©2005 0123548616 9780123548610 (DLC) 2005295393 (OCoLC)57469753 |
| ISBN |
9780123548610 |
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0123548616 |
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9780080540313 (electronic bk.) |
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0080540317 (electronic bk.) |
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1281027197 |
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9781281027191 |
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9786611027193 |
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661102719X |
| Standard No. |
AU@ 000048130075 |
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AU@ 000051558667 |
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AU@ 000060527175 |
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CDX 6483993 |
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CHNEW 001005365 |
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DEBBG BV036962222 |
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DEBBG BV039830091 |
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DEBBG BV042317241 |
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DEBBG BV043044573 |
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DEBBG BV044125086 |
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DEBSZ 276049276 |
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DEBSZ 422193801 |
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DEBSZ 430411170 |
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NZ1 12432611 |
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NZ1 14540366 |
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NZ1 15192822 |
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