Fourier analysis and convexity
Author(s)
Bibliographic Information
Fourier analysis and convexity
（Applied and numerical harmonic analysis / series editor, John J. Benedetto）
Birkhäuser, c2004
Available at / 9 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:515.243/B7342080023340
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Note
Includes bibliographical references only
Description and Table of Contents
Description
Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances
Presents new results and applications to diverse fields such as geometry, number theory, and analysis
Contributors are leading experts in their respective fields
Will be of interest to both pure and applied mathematicians
Table of Contents
Preface Contributors Lattice Point Problems: Crossroads of Number Theory, Probability Theory, and Fourier Analysis Totally Geodesic Radon Transform of L^P-Functions on Real Hyperbolic Space Fourier Techniques in the Theory of Irregularities of Point Distributions Spectral Structure of Sets of Integers One-Hundred Years of Fourier Series and Spherical Harmonics in Convexity Fourier Analytic Methods in the Study of Projections and Sections of Convex Bodies The Study of Translational Tiling with Fourier Analysis Discrete Maximal Functions and Ergodic Theorems Related to Polynomials What is it Possible to Say About an Asymptotic of the Fourier Transform of the Characteristic Function of a Two-Dimensional Convex Body with Nonsmooth Boundary? Some Recent Progress on the Restriction Conjecture Average Decay of the Fourier Transform Index
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