| 书目名称 | Lebesgue Points and Summability of Higher Dimensional Fourier Series | | 编辑 | Ferenc Weisz | | 视频video | | | 概述 | Presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points.Introduces readers to multiple methods of summability, focusing particularly on Fejér and | | 图书封面 |  | | 描述 | .This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue’s theorem, filling a gap in the literature. Recent results and real-world applications are highlighted as well, making this a timely resource...The book is structured into four chapters, prioritizing clarity throughout. Chapter One covers basic results from the one-dimensional Fourier series, and offers a clear proof of the Lebesgue theorem. In Chapter Two, convergence and boundedness results for the .l.q.-summability are presented. The restricted and unrestricted rectangular summability are provided in Chapter Three, as well as the sufficient and necessary condition for the norm convergence of the rectangular theta-means. Chapter Four then introduces six types of Lebesgue points for higher dimensional functions...Lebesgue Points and Summability of Higher Dimensional Fourier Series | | 出版日期 | Book 2021 | | 关键词 | Fourier series; Fourier transforms higher dimensions; Cesaro summability; Lebesgue points; Fejer summabi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-74636-0 | | isbn_softcover | 978-3-030-74638-4 | | isbn_ebook | 978-3-030-74636-0 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:14:20
