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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fourier analysis on finite abelian groups and the uncertainty principles
有限阿贝尔群 傅里叶分析 不确定性原理
2023/4/18
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
Markov bases for noncommutative Fourier analysis of ranked data
Calibration markov chain monte carlo techniques data sets and statistical analysis
2015/7/8
To calibrate Fourier analysis of S5 ranking data by Markov chain Monte Carlo techniques, a set of moves (Markov basis) is needed. We calculate this basis, and use it to provide a new statistical analy...
Higher-order Fourier analysis of $\mathbb{F}_p^n$ and the complexity of systems of linear forms
Higher-order Fourier analysis linear forms
2010/11/24
Consider a subset $A$ of $\mathbb{F}_p^n$ and a decomposition of its indicator function as the sum of two bounded functions $1_A=f_1+f_2$. For every family of linear forms, we find the smallest degre...
Inequalities in $q-$Fourier Analysis
Č ebyš ev functional Grüss inequality Bessel Beta and Zeta function bounds
2008/7/1
In this paper we introduce the q-Bessel Fourier transform, the q-Bessel translation operator and the q-convolution product. We prove that the q- heat semigroup is contractive and we establish the q-an...