Wavelets : a student guide
著者
書誌事項
Wavelets : a student guide
（Australian Mathematical Society lecture series, 24）
Cambridge University Press, 2017
- pbk.
大学図書館所蔵 件 / 全4件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
この図書・雑誌をさがす
注記
Includes bibliographical references and index
内容説明・目次
内容説明
This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author's elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and Hilbert spaces, the book then shifts its focus to wavelets specifically, starting with the Haar wavelet, broadening to wavelets in general, and culminating in the construction of the Daubechies wavelets. All of this is done using only elementary methods, bypassing the use of the Fourier integral transform. Arguments using the Fourier transform are introduced in the final chapter, and this less elementary approach is used to outline a second and quite different construction of the Daubechies wavelets. The main text of the book is supplemented by more than 200 exercises ranging in difficulty and complexity.
目次
- Preface
- 1. An overview
- 2. Vector spaces
- 3. Inner product spaces
- 4. Hilbert spaces
- 5. The Haar wavelet
- 6. Wavelets in general
- 7. The Daubechies wavelets
- 8. Wavelets in the Fourier domain
- Appendix: notes on sources
- References
- Index.
「Nielsen BookData」 より