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Titlebook: Harmonic Analysis; Henry Helson Book 2010Latest edition Hindustan Book Agency (India) 2010

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发表于 2025-3-21 16:35:30 | 显示全部楼层 |阅读模式
书目名称Harmonic Analysis
编辑Henry Helson
视频video
丛书名称Texts and Readings in Mathematics
图书封面Titlebook: Harmonic Analysis;  Henry Helson Book 2010Latest edition Hindustan Book Agency (India) 2010
描述This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl‘s theorems on equidistribution. Topics that have continued from the first edition include Minkowski‘s theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szego, and the Wiener Tauberian theorem. Readers of the book should have studied the Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and as simple as possible. This is an instructional book, not a treatise. Mathematics students interested in analysis will find here what they need to know about Fourier analysis. Physicists and others can use the book as a reference for more advanced topics.
出版日期Book 2010Latest edition
版次2
doihttps://doi.org/10.1007/978-93-86279-47-7
isbn_ebook978-93-86279-47-7
copyrightHindustan Book Agency (India) 2010
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发表于 2025-3-21 23:09:08 | 显示全部楼层
Discrete and Compact Groups,belian groups, then prove the Pontryagin duality theorem for compact and discrete abelian groups, a theorem of Minkowski, Kolmogorov’s extension theorem, and finally the Banach-Steinhaus theorem as a consequence of a theorem of Steinhaus about the set of distances between points in a set of positive
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Translation,arly. .. Wiener began the study of closed subspaces of .(.) and of .(.) that are invariant under all translations .. A. Beurling studied subspaces that are invariant under translations in just one direction on . or .; these subspaces axe more complicated and interesting. Translation is carried by th
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Distribution,d the second satisfies 0 ≤ (.) < 1. If . is irrational, the fractional parts (.), . = 1, 2,… move about the interval (0, 1) in what seems at first to be a random way, but in fact a good deal can be said about their distribution. In this chapter we shall prove theorems about the distribution of this
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Henry Helsons, proteins, phenols, fatty acids, pigments, sterols, and terpenes, which have potential use in the pharmaceutical, cosmetic, agronomic, food, and other industries. This explains the growing interest in the search for new compounds from microalgae obtained both through traditional cultures and, more
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Henry Helson(a zoologist) in 1838–1839. They suggested that cell is a structural and functional unit of all living organisms. They envisioned that cell has the ability to develop into a whole plant. This visualisation of Schleiden and Schwann put a clue before us the possibility of a cell to regenerate into a w
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