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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/17
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/23
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Optimal Recovery of Holomorphic Functions from Inaccurate Information about Radial Integration
Approximation Optimal Recovery Holomorphic
2013/1/30
This paper addresses the optimal recovery of functions from Hilbert spaces of functions on the unit disc. The estimation, or recovery, is performed from inaccurate information given by integration alo...
On Kazhdan's Property (T) for the special linear group of holomorphic functions
Kazhdan's Property (T) special linear group holomorphic functions
2012/3/1
We investigate when the group $SL_n(\mathcal{O}(X))$ of holomorphic maps from a Stein space $X$ to $SL_n (\C)$ has Kazhdan's property (T) for $n\ge 3$. This provides a new class of examples of non-loc...
Plurisubharmonic and holomorphic functions relative to the plurifine topology
Plurisubharmonic and holomorphic functions the plurifine topology
2010/11/23
A weak and a strong concept of plurifinely plurisubharmonic and plurifinely holomorphic functions are introduced. Strong will imply weak. The weak concept is studied further. A function f is weakly pl...
A Hölder Inequality for Holomorphic Functions
Complex hypercontractivity Holomorphic Hö lder inequality
2008/7/3
A Hölder Inequality for Holomorphic Functions.
Holomorphic Functions of Exponential Growth on Abelian Coverings of a Projective Manifold
Holomorphic Functions Exponential Growth Projective Manifold
2010/10/29
Let M be a projective manifold, p:M_{G} --> M a regular covering over M with a free abelian transformation group G. We describe holomorphic functions on M_{G} of an exponential growth with respect to...