Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Bo‘az Klartag,Emanuel Milman Book 2017 Springer International Publishing AG

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evince

On Repeated Sequential Closures of Constructible Functions in Valuations,that the sequential closure, taken sufficiently many (in fact, infinitely many) times, of the former space is equal to the latter one. This stronger property is necessary for some applications in Alesker (Geom Funct Anal 20(5):1073–1143, 2010).

refraction

,-Valent Functions,.. These functions, which we call (.,?.)-valent functions, provide a natural generalization of .-valent functions (see?Hayman, Multivalent Functions, 2nd ed, Cambridge Tracts in Mathematics, vol?110, 1994). We provide a rather accurate characterizing of (.,?.)-valent functions in terms of their Tayl

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Forehead-Lift

雕鏤

Super-Gaussian Directions of Random Vectors,. We show that there exists a fixed unit vector . such that the random variable . satisfies . where .?>?0 is any median of?|?.?|?, i.e., .. Here, . are universal constants. The dependence on the dimension . is optimal, up to universal constants, improving upon our previous work.

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myelography

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合適

Book 2017 also well represented, and related algebraic structures pertaining to valuations and valent functions are discussed. All contributions are original research papers and were subject to the usual refereeing standards.