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高阶傅里叶分析及其在数论、组合、图论研究中的应用

  • 创建者:数论天使
  • 创建时间:2014-08-10 18:36
  • 修改时间:2014-08-28 17:19
  • 介绍:本豆单收集高阶傅里叶分析及其在数论、组合、图论研究中的应用的原创性论文、优秀教案、综述文章等。
  • 关键词: 高阶傅里叶分析 及其应用 数论 组合 图论 数论研究 数论应用
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201403.0945v1 Higher order Fourier analysis of multiplicative functions and applications77 p
pdf 201403.0945v1 Higher order Fourier analysis of multiplica..
We prove a structure theorem for multiplicative functions which states that an arbitrary bounded multiplicative function can be decomposed into two terms, one..
  • 上传人: 数论天使
  • 2014-08-06 17:04
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200810.4062v2 A measure-theoretic approach to the theory of dense hypergraphs49 p
pdf 200810.4062v2 A measure-theoretic approach to the theory o..
In this paper we develop a measure-theoretic method to treat problems in hypergraph theory. Our central theorem is a correspondence principle between thr..
  • 上传人: 数论天使
  • 2014-08-08 16:48
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200911.1157v1 Higher order Fourier analysis as an algebraic theory II33 p
pdf 200911.1157v1 Higher order Fourier analysis as an algebra..
Our approach to higher order Fourier analysis is to study the ultra product of finite (or compact) Abelian groups on which a new algebraic theory app..
  • 上传人: 数论天使
  • 2014-08-08 17:37
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200903.0897v1 Higher order Fourier analysis as an algebraic theory I22 p
pdf 200903.0897v1 Higher order Fourier analysis as an algebra..
Ergodic theory, Higher order Fourier analysis and the hyper graph regularity method are three possible approaches to Szemer\´edi type theorems in ..
  • 上传人: 数论天使
  • 2014-08-08 17:35
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201203.2260v1 On higher order Fourier analysis [关于高阶傅里叶分析]64 p
pdf 201203.2260v1 On higher order Fourier analysis [关于高阶傅里叶分析..
We develop a theory of higher order structures in compact abelian groups. In the frame of this theory we prove general inverse theorems and regularity le..
  • 上传人: 数论天使
  • 2014-08-08 18:33
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高阶傅立叶分析233 p
pdf 高阶傅立叶分析
高阶傅立叶分析
  • 上传人: ironing001
  • 2011-04-13 18:18
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201001.4282v1 Higher order Fourier analysis as an algebraic theory III40 p
pdf 201001.4282v1 Higher order Fourier analysis as an algebra..
For every natural number k we introduce the notion of k-th order convolution of functions on abelian groups. We study the group of convolution preserving..
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  • 2014-08-08 17:38
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