Number Theory Fourier Analysis And Geometric Discrepancy
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Number Theory, Fourier Analysis and Geometric Discrepancy
Author: Giancarlo Travaglini
language: en
Publisher: Cambridge University Press
Release Date: 2014-06-12
Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.
Fourier Analysis with Applications
Author: Adrian Constantin
language: en
Publisher: Cambridge University Press
Release Date: 2016-06-02
A two-volume advanced text for graduate students. This first volume covers the theory of Fourier analysis.
Discrepancy Theory
Author: Dmitriy Bilyk
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2020-01-20
The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.