<電子ブック>
An Introduction to Wavelet Analysis / by David F. Walnut
(Applied and Numerical Harmonic Analysis. ISSN:22965017)
版 | 1st ed. 2004. |
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出版者 | (Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser) |
出版年 | 2004 |
本文言語 | 英語 |
大きさ | XX, 452 p : online resource |
著者標目 | *Walnut, David F author SpringerLink (Online service) |
件 名 | LCSH:Mathematics -- Data processing
全ての件名で検索
LCSH:Signal processing LCSH:Mathematics LCSH:Functional analysis FREE:Computational Science and Engineering FREE:Signal, Speech and Image Processing FREE:Computational Mathematics and Numerical Analysis FREE:Applications of Mathematics FREE:Functional Analysis |
一般注記 | An Introduction to Wavelet Analysis provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and application of wavelet bases. The book develops the basic theory of wavelet bases and transforms without assuming any knowledge of Lebesgue integration or the theory of abstract Hilbert spaces. The book motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, and then shows how a more abstract approach allows us to generalize and improve upon the Haar series. Once these ideas have been established and explored, variations and extensions of Haar construction are presented. The mathematical pre-requisites for the book are a course in advanced calculus, familiarity with the language of formal mathematical proofs, and basic linear algebra concepts. Features: *Rigorous proofs with consistent assumptions on the mathematical background of the reader; does not assume familiarity with Hilbert spaces or Lebesgue measure * Complete background material on (Fourier Analysis topics) Fourier Analysis * Wavelets are presented first on the continuous domain and later restricted to the discrete domain, for improved motivation and understanding of discrete wavelet transforms and applications. * Special appendix, "Excursions in Wavelet Theory " provides a guide to current literature on the topic * Over 170 exercises guide the reader through the text. The book is an ideal text/reference for a broad audience of advanced students and researchers in applied mathematics, electrical engineering, computational science, and physical sciences. It is also suitable as a self-study reference guide for professionals. All readers will find HTTP:URL=https://doi.org/10.1007/978-1-4612-0001-7 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781461200017 |
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電子リソース |
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EB00227994 |
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