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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar 2006– Bo‘a(chǎn)z Klartag,Shahar Mendelson,Vitali D. Milman Book 2012 Springer-Verlag Be

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發(fā)表于 2025-3-21 16:16:11 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Geometric Aspects of Functional Analysis
副標(biāo)題Israel Seminar 2006–
編輯Bo‘a(chǎn)z Klartag,Shahar Mendelson,Vitali D. Milman
視頻videohttp://file.papertrans.cn/384/383465/383465.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar 2006– Bo‘a(chǎn)z Klartag,Shahar Mendelson,Vitali D. Milman Book 2012 Springer-Verlag Be
描述This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers.
出版日期Book 2012
關(guān)鍵詞80M35, 26A51, 32-XX, 46-XX, 60-XX; Asymptotic Geometric Analysis; Functional Analysis; Geometric Inequa
版次1
doihttps://doi.org/10.1007/978-3-642-29849-3
isbn_softcover978-3-642-29848-6
isbn_ebook978-3-642-29849-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2012
The information of publication is updating

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發(fā)表于 2025-3-21 22:36:54 | 只看該作者
On Multiplicative Maps of Continuous and Smooth Functions,om in families of continuous functions). Our results in the real case are mostly simple extensions of known theorems. We then show that in the complex case, the only additional freedom allowed is complex conjugation. Finally, we apply those results to characterize the Fourier transform between certain function spaces.
板凳
發(fā)表于 2025-3-22 03:57:04 | 只看該作者
Order Isomorphisms on Convex Functions in Windows,show that any order isomorphism on these classes must be induced by a point map on the epi-graphs of the functions, and determine the exact form of this map. To this end we study convexity preserving maps on subsets of ., and also in this area we have some new interpretations, and proofs.
地板
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,On the Distribution of the ψ2-Norm of Linear Functionals on Isotropic Convex Bodies,ψ.-estimate with a given constant .. We introduce the function . and we discuss lower bounds for ψ.(.), .. Information on the distribution of the ψ.-norm of linear functionals is closely related to the problem of bounding from above the mean width of isotropic convex bodies.
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Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem,tein’s method to show that this phenomenon persists in the bounded-Lipschitz distance for .-dimensional marginals of .-dimensional distributions, if .. In this paper, a somewhat different approach is used to show that the phenomenon persists if ., and that this estimate is best possible.
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發(fā)表于 2025-3-22 21:15:56 | 只看該作者
https://doi.org/10.1007/978-3-663-07155-6arge outer volume ratio and large vertex index. Finally, we improve the constant in the latter bound for the case of the Euclidean ball from . to ., providing a completely new approach to the problem.
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Diskurse des Climate Engineeringdy of vector bundles on a manifold. In particular it is shown that for a compact manifold . there exists a canonical isomorphism between the .-ring constructed out of finitely generated projective ..(.)-modules and the classical topological ..-ring constructed out of vector bundles over ..
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