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Type: BOOK - Published: 2014-11-12 - Publisher: American Mathematical Soc.

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The study of the geometry of convex bodies based on information about sections and projections of these bodies has important applications in many areas of mathe
Fourier Analysis and Convexity
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Authors: Luca Brandolini
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Type: BOOK - Published: 2011-04-27 - Publisher: Springer Science & Business Media

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Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical ad
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"The book is written in the form of lectures accessible to graduate students. This approach allows the reader to clearly see the main ideas behind the method, r
Applications of the Fourier Transform to Convex Geometry
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The thesis is devoted to the study of various problems arising from Convex Geometry and Geometric Functional Analysis using tools of Fourier Analysis. In chapte
Fourier Analysis on Polytopes and the Geometry of Numbers
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This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geomet