| 書(shū)目名稱(chēng) | Convergence and Summability of Fourier Transforms and Hardy Spaces | | 編輯 | Ferenc Weisz | | 視頻video | http://file.papertrans.cn/238/237743/237743.mp4 | | 概述 | Explores comprehensively the summability of Fourier transforms as well as the theory of Hardy spaces.Gathers classical results as well as recent results from the past 20-30 years.Considers strong summ | | 叢書(shū)名稱(chēng) | Applied and Numerical Harmonic Analysis | | 圖書(shū)封面 |  | | 描述 | This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations.?.Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.. | | 出版日期 | Book 2017 | | 關(guān)鍵詞 | Fejér summability; fourier analysis; hardy spaces; Lebesgue points; strong summability; harmonic analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-56814-0 | | isbn_softcover | 978-3-319-86008-4 | | isbn_ebook | 978-3-319-56814-0Series ISSN 2296-5009 Series E-ISSN 2296-5017 | | issn_series | 2296-5009 | | copyright | Springer International Publishing AG 2017 |
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