Book Review: Classical and multilinear harmonic analysis, Volume 1; Classical and multilinear harmonic analysis, Volume 2
نویسندگان
چکیده
منابع مشابه
Multilinear Harmonic Analysis
This article contains an expanded version of the material covered by the author in two 90-minute lectures at the 9th international school on Nonlinear Analysis, Function spaces, and Applications, held in Třešt’, Czech Republic during the period September 11 to September 17, 2010. In memory of Nigel Kalton
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Grafakos’ two lectures at the Research Institute for Mathematical Sciences (RIMS), Kyoto University Workshop entitled “Harmonic Analysis and Nonlinear Partial Differential Equations”, July 4 July 6, 2011, are based on these notes.
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26 NOTICES OF THE AMS VOLUME 47, NUMBER 1 H armonic analysis can be interpreted broadly as a general principle that relates geometric objects and spectral objects. The two kinds of objects are sometimes related by explicit formulas, and sometimes simply by parallel theories. This principle runs throughout much of mathematics. The rather impressionistic table at the top of the opposite page prov...
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Let G = SpecA be a linearly reductive group and let wG ∈ A ∗ be the invariant integral on G. We establish the algebraic harmonic analysis on G and we compute wG when G = Sln, Gln, On, Sp2n by geometric arguments and by means of the Fourier transform. Introduction An affine k-group G = SpecA is linearly semisimple (that is, linearly reductive) if and only if A splits into the form A = k × B as k...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 2014
ISSN: 0273-0979,1088-9485
DOI: 10.1090/s0273-0979-2014-01476-4