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ON borel REMOVABLE SETS OF ENTIRE AND MEROMORPHIC FUNCTIONS

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Science China Mathematics 1992年第12期35卷 1444-1455页

作者：伍胜健 Institute of Mathematics Academia Sinica Beijing 100080 PRC

In this paper,some results on remorable sets of entire and meromorphic functions in the sense of borel Theorem are obtained. Among them we prove that there exists a seque nce of discs(D_n)with radii tending to the inf... 详细信息

关键词： entire function meromorphic function borel Theorem borel removable set.

ON THE borel SUBGROUPS OF LARGE TYPE

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Chinese Annals of Mathematics,Series B 1992年第4期13卷 440-454页

作者：侯自新 Department of Mathematics Nankai University Tianjin 300071 China.

The author defines the large type borel subgroups of a reductive algebraic group, which are used to discuss Langlands’ L-groups and the Langlands classification of the admissible representations of reductive algebraic groups over R (see [1, 2, 5])and determine all of the borel subgroups of large type for the classical semisimple Lie groups.

关键词： borel subgroups algebraic imaginary reductive admissible maximal verify trivial diagonal

COMMON borel DIRECTIONS OF A MEROMORPHIC FUNCTION OF INFINITE ORDER AND ITS DIFFERENTIAL POLYNOMIAL

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Chinese Science Bulletin 1992年第7期37卷 541-547页

作者：庄圻泰胡振军 Department of Mathematics Peking University Beijing 100871 PRC

The following theorem is ***. Let f(z) be a meromorphic function of infinite order and p(r) an order of f(z).

关键词： meromorphic function differential polynomial borel direction.

MEROMORPHIC FUNCTIONS WITH GIVEN borel DIRECTIONS

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Chinese Annals of Mathematics,Series B 1983年第2期4卷 231-239页

作者：孙道椿 Wuhan University

In this paper, the auther defines"orders" and corresponding borel directions for meromorphic functions. Refering to the method in[1], construct the meromorphic functions with given borel directions. Therefore, the aut... 详细信息

关键词： borel answer directions posed orders lemma chara integer uniformly 字口

THE borel STATE SPACE SEMI-MARKOVDECISION PROCESS WITH EXPECTED TOTAL REWARDS IN A SEMI-MARKOV ENVIRONMENT

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Systems Science and Mathematical Sciences 1999年第1期12卷 82-91页

作者： XU Chen(School of Science, Shenzhen University, Shenzhen 518060, China)HU Qiying (School of Economy and Management, Xidian University, Xi’an 710071, China) 深圳大学广东深圳西安电子科技大学经济管理学院陕西西安

This paper investigates the borel state space semi-Markov decision process (SMDP) with the criterion of expected total rewards in a semi-Markov environment. It describes a system which behaves like a SMDP except that the system is influenced by its environment modeled by a semi-Markov process. We transform the SMDP in a semiMarkov environment into an equivalent discrete time Markov decision process under the condition that rewards are all positive or all negative, and obtain the optimality equation and some properties for it.

关键词： Semi-Markov decision processes semi-Markov environment expected total rewards borel state space.

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具有borel例外值的亚纯函数的分解

数学进展 1992年第4期21卷 445-453页

作者：廖良文华东工学院应用数学系

引言亚纯函数分解理论中,具有例外值的亚纯函数的分解,是一个值得关注的问题。1970年Goldstein证明了: 定理A 设F(z)是一有穷级的整函数,且δ(a,F)=1(a≠∞),则 F(z)是拟素的。

关键词：亚纯函数分解 borel 例外值

Strong conjugation actions induced by flags of exact borel subalgebras

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Science China Mathematics 2002年第6期45卷 741-748页

作者：张跃辉 Department of Mathematics Shanghai Jiaotong University Shanghai China

Let A be a quasi-hereditary algebra with a strong exact borel subalgebra. It is proved that for any standard semisimple subalgebra T there exists an exact borel subalgebra B of A such that T is a maximal semisimple subalgebra of B. It is shown that the maximal length of flags of exact borel subalgebras of A is the difference of the radium and the rank of Grothendic group of A plus 2. The number of conjugation-classes of exact borel subalgebras is 1 if and only if A is basic; the number is 2 if and only if A is semisimple. For all other cases, this number is 0 or no less than 3. Furthermore, it is shown that all the exact borel subalgebras are idempotent-conjugate to each other, that is, for any exact borel subalgebras B and C of A, there exists an idempotent e of A, and an invertible element u of A, such that eBe = u-1eCeu.

关键词： quasi-hereditary algebra, exact borel subalgebra, strong conjugation, idempotent conjugate, Morita equivalence.

DEFICIENT VALUES AND borel DIRECTIONS OF ENTIRE FUNCTIONS

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Chinese Science Bulletin 1988年第3期33卷 186-190页

作者：杨乐 Institute of Mathematics Academia Sinica Beijing

Let f(x) be entire and of order λ, where 0<λ<+∞. Denjoy conjectured that the number of asymptotic values of f(z)does not exceed 2λ. Ahlfors succeeded in proving this conjecture later. He proved further that any en... 详细信息

关键词： asymptotic exceed conjecture infinite proving borel infinity 月碑 deficient inequality

ON EXISTENCE OF borel DIRECTION OF AN ALGEBROIDAL FUNCTION

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Chinese Science Bulletin 1982年第3期27卷 254-257页

作者：顾永兴吕以辇 Nanchong Teachers College Sichuan Province Institute of Mathematics Academia Sinica

Valiron conjectured that there exists at least a borel direction for any ν-valued algebroidal function of order ρ, 0<ρ<+∞. A. Ranch proved that there exists a direction such that the corresponding borel exceptiona... 详细信息

Valiron conjectured that there exists at least a borel direction for any ν-valued algebroidal function of order ρ, 0borel exceptional values form a set of linear measure zero. N. Toda proved that there exists a direction such that the set of corresponding borel exceptional values are countable. Recently, Lü proved that

关键词： borel exceptional valued proof Riemann integer 逸生三上兰如华生