| 书目名称 | Functions, Spaces, and Expansions | | 副标题 | Mathematical Tools i | | 编辑 | Ole Christensen | | 视频video | | | 概述 | Collected topics represent a wide foundation of applied mathematical tools not often found together in one book.Interdisciplinary approach provides students the mathematical tools required for studyin | | 丛书名称 | Applied and Numerical Harmonic Analysis | | 图书封面 |  | | 描述 | .This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. A central theme of the book is the structure of various vector spaces—most importantly, Hilbert spaces—and expansions of elements in these spaces in terms of bases..Key topics and features include:.* More than 150 exercises.* Abstract and normed vector spaces.* Approximation in normed vector spaces.* Hilbert and Banach spaces.* General bases and orthonormal bases.* Linear operators on various normed spaces.* The Fourier transform, including the discrete Fourier transform.* Wavelets and multiresolution analysis.* B-splines.* Sturm–Liouville problems.As a textbook that provides a deep understanding of central issues in mathematical analysis, .Functions, Spaces, and Expansion | | 出版日期 | Textbook 2010 | | 关键词 | Analysis; Fourier transform; Hilbert space; Wavelet; discrete Fourier transform; linear algebra; linear op | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4980-7 | | isbn_ebook | 978-0-8176-4980-7Series ISSN 2296-5009 Series E-ISSN 2296-5017 | | issn_series | 2296-5009 | | copyright | Springer Science+Business Media, LLC 2010 |
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书目名称Functions, Spaces, and Expansions影响因子(影响力)
书目名称Functions, Spaces, and Expansions影响因子(影响力)学科排名
书目名称Functions, Spaces, and Expansions网络公开度
书目名称Functions, Spaces, and Expansions网络公开度学科排名
书目名称Functions, Spaces, and Expansions被引频次
书目名称Functions, Spaces, and Expansions被引频次学科排名
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书目名称Functions, Spaces, and Expansions年度引用学科排名
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书目名称Functions, Spaces, and Expansions读者反馈学科排名
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发表于 2025-3-21 16:36:47
