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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Let Re(s)﹦π(n)／n,(n﹦2), and Im(s)﹦((π(n)﹣π(2))㏒n)i,(n＞2)， Riemann hypothesis is proved.
σ﹢ti is irrelevant to the distributive law of primes.
武汉大学实变函数课件第四章 积分 4.4 Lebesgue积分与Riemann积分。
BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH RIEMANN-LIOUVILLE OPERATOR
Weierstrass transform best approximation Riemann-Liouville operator reproducing kernel extremal function
2008/11/26
Using reproducing kernels for Hilbert spaces, we give best approximation for Weierstrass
transform associated with Riemann-Liouville operator. Also, estimates of extremal
functions are checked.
考察了在可交换四元数空间(基元为$1, i, j, k$满足条件$i^{2}=j^{2}=-1,\, ij=ji=k$)中的某些双曲型方程的Riemann--Hilbert边值问题, 分别在不同的情况下获得了问题的可解条件和通解.
On Non-Homogeneous Riemann Boundary Value Problem
Curve Cauchy type integral singular integral Riemann problem
2010/3/1
In this paper we consider non-homogeneous Riemann boundary value problem with unbounded oscillating coefficients on a class of open rectifiable Jordan curve.