| 书目名称 | The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations | | 编辑 | Abdul J. Jerri | | 视频video | http://file.papertrans.cn/911/910608/910608.mp4 | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | This book represents the first attempt at a unified picture for the pres ence of the Gibbs (or Gibbs-Wilbraham) phenomenon in applications, its analysis and the different methods of filtering it out. The analysis and filtering cover the familiar Gibbs phenomenon in Fourier series and integral representations of functions with jump discontinuities. In ad dition it will include other representations, such as general orthogonal series expansions, general integral transforms, splines approximation, and continuous as well as discrete wavelet approximations. The mate rial in this book is presented in a manner accessible to upperclassmen and graduate students in science and engineering, as well as researchers who may face the Gibbs phenomenon in the varied applications that in volve the Fourier and the other approximations of functions with jump discontinuities. Those with more advanced backgrounds in analysis will find basic material, results, and motivations from which they can begin to develop deeper and more general results. We must emphasize that the aim of this book (the first on the sUbject): to satisfy such a diverse audience, is quite difficult. In particular, our detailed de | | 出版日期 | Book 1998 | | 关键词 | Approximation; calculus; fourier analysis; integral transform; wavelet | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-2847-7 | | isbn_softcover | 978-1-4419-4800-7 | | isbn_ebook | 978-1-4757-2847-7 | | copyright | Springer Science+Business Media Dordrecht 1998 |
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