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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Classical and adelic Eisenstein series
古典 阿德利 爱森斯坦系列 经典函数
2023/5/6
In this talk, we discuss “Hecke summation” for the classical Eisenstein series E_k in an adelic setting. The connection between classical and adelic functions is made by explicit calculations of local...
Twisted Weyl Group Multiple Dirichlet Series Over the Rational Function Field
Rational Function Field Multiple Dirichlet
2014/12/8
Let K be a global field. For each prime p of K, the p-part of a multiple Dirichlet series defined over K is a generating function in several variables for the p-power coefficients. Let _ be an irreduc...
Hilbert series of PI relatively free G-graded algebras are rational functions
free G-graded algebras rational functions
2010/11/19
Let G be a finite group, (g_{1},...,g_{r}) an (unordered) r-tuple of G^{(r)} and x_{i,g_i}'s variables that correspond to the g_i's, i=1,...,r. Let F be the corresponding free...
Negative Results Concerning Fourier Series on the Complete Product of $\mathcal{S}_3$
Fourier series Walsh-system Vilenkin systems Representative product systems
2010/1/22
The aim of this paper is to continue the studies about convergence in -norm of the Fourier series based on representative product systems on the complete product of finite groups. We restrict our atte...
On Integrability of Functions Defined by Trigonometric Series
Sine and cosine series $L^p$ integrability equivalence of coefficient conditions quasi power-monotone sequences
2010/1/22
The goal of the present paper is to generalize two theorems of R.P. Boas Jr. pertaining to integrability of Fourier series with nonnegative coefficients and weight In our improvement the weight is...
<正> 1.Introduction.It is classical that,if the Fourier series of a function ψ(t) ofbounded variation is (?) sin nt,the sequence (?) is bounded.This resultcannot be improved.“For,the function (?) whose...
Pointwise Convergence and Uniform Convergence of Wavelet Frams Series
Wavelet frame series Wavelet orthonormal basis Uniform onvergence Pointwise convergence
2007/12/12
Pointwise convergence and uniform convergence for wavelet frame series is a new topic. With the help of band-limited dual wavelet frames, this topic is first researched.
On the Distribution of Random Dirichlet Series in the Whole Plane
Random Dirichlet series Order(R) strong Borel line little function
2010/2/25
For some random Dirichlet series of order(R) infinite almost surely, every horizontal line is a strong Borel line of order(R) infinite and without exceptional Little functions.
Majorant Series
Majorant Series math
2010/10/29
This article discusses questions in one and several complex variables about the size of the sum of the moduli of the terms of the series expansion of a bounded holomorphic function. Although the arti...