| 書(shū)目名稱 | Fourier Analysis and Approximation of Functions | | 編輯 | Roald M. Trigub,Eduard S. Bellinsky | | 視頻video | http://file.papertrans.cn/348/347236/347236.mp4 | | 圖書(shū)封面 |  | | 描述 | In .Fourier Analysis and Approximation of Functions. basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. .In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. .The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them. .In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a refe | | 出版日期 | Book 2004 | | 關(guān)鍵詞 | Fourier transform; Hilbert space; Operator theory; bigfin; calculus; harmonic analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4020-2876-2 | | isbn_softcover | 978-90-481-6641-1 | | isbn_ebook | 978-1-4020-2876-2 | | copyright | Springer Science+Business Media Dordrecht 2004 |
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