| 書目名稱 | Fourier and Wavelet Analysis | | 編輯 | George Bachman,Lawrence Narici,Edward Beckenstein | | 視頻video | http://file.papertrans.cn/348/347266/347266.mp4 | | 叢書名稱 | Universitext | | 圖書封面 |  | | 描述 | globalized Fejer‘s theorem; he showed that the Fourier series for any f E Ld-7I", 7I"] converges (C, 1) to f (t) a.e. The desire to do this was part of the reason that Lebesgue invented his integral; the theorem mentioned above was one of the first uses he made of it (Sec. 4.18). Denjoy, with the same motivation, extended the integral even further. Concurrently, the emerging point of view that things could be decom- posed into waves and then reconstituted infused not just mathematics but all of science. It is impossible to quantify the role that this perspective played in the development of the physics of the nineteenth and twentieth centuries, but it was certainly great. Imagine physics without it. We develop the standard features of Fourier analysis-Fourier series, Fourier transform, Fourier sine and cosine transforms. We do NOT do it in the most elegant way. Instead, we develop it for the reader who has never seen them before. We cover more recent developments such as the discrete and fast Fourier transforms and wavelets in Chapters 6 and 7. Our treatment of these topics is strictly introductory, for the novice. (Wavelets for idiots?) To do them properly, especially the applicat | | 出版日期 | Textbook 2000 | | 關(guān)鍵詞 | Fourier transform; analysis; convolution; discrete Fourier transform; fast Fourier transform; fast Fourie | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0505-0 | | isbn_softcover | 978-1-4612-6793-5 | | isbn_ebook | 978-1-4612-0505-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer Science+Business Media New York 2000 |
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