从球体填充到傅里叶插值

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2023-10-06 DOI:10.1090/bull/1813

Henry Cohn

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引用次数: 0

摘要

Viazovska对八维球体填充问题的解决是基于使用模形式的某些特殊函数的非凡构造。伟大的数学所产生的影响远远超出了最初激发它的问题，维亚佐夫斯卡的工作也不例外。在本文中，我们将研究它如何在傅里叶分析中产生新的插值定理，特别是Radchenko和Viazovska的一个定理。

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From sphere packing to Fourier interpolation

Viazovska’s solution of the sphere packing problem in eight dimensions is based on a remarkable construction of certain special functions using modular forms. Great mathematics has consequences far beyond the problems that originally inspired it, and Viazovska’s work is no exception. In this article, we’ll examine how it has led to new interpolation theorems in Fourier analysis, specifically a theorem of Radchenko and Viazovska.

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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.