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71.
We prove that any two real-analytic critical circle maps with cubic critical point and the same irrational rotation number of bounded type are conjugate for some .
72.
Let be a quadratic rational map of the sphere which has two fixed Siegel disks with bounded type rotation numbers and . Using a new degree Blaschke product model for the dynamics of and an adaptation of complex a priori bounds for renormalization of critical circle maps, we prove that can be realized as the mating of two Siegel quadratic polynomials with the corresponding rotation numbers and .
73.
74.
This paper studies the coincidence of the τω and τδ topologies on the space of holomorphic functions defined on an open subset U of a Banach space. Dineen and Mujica proved that τω=τδ when U is a balanced open subset of a separable Banach space with the bounded approximation property. Here, we study the τω=τδ problem for several types of non-balanced domains U. 相似文献
75.
Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009, recently there has been some developments on the second main theorem into algebraic varieties intersecting moving hypersurfaces targets. The main purpose of this paper is to give some interesting improvements of Ru’s second main theorem for moving hypersurfaces targets located in subgeneral position with index. 相似文献
76.
Chunlin Lei Degui Yang Xueqin Wang 《Journal of Mathematical Analysis and Applications》2008,341(1):224-234
Let k be a positive integer with k?2; let h(?0) be a holomorphic function which has no simple zeros in D; and let F be a family of meromorphic functions defined in D, all of whose poles are multiple, and all of whose zeros have multiplicity at least k+1. If, for each function f∈F, f(k)(z)≠h(z), then F is normal in D. 相似文献
77.
Chen Zhihua 《数学年刊B辑(英文版)》1996,17(4):436-466
§1.Introduction LetMbeacomplexmanifold.Foranyp∈MandanyX∈T1,0p(M),theKobayashiinfinitesimalpseudometric[1]ofXisF(X):=inf|a|∈C,f:DMs.t.f(0)=pandf(az)=X,whereDistheunitdiskandf∈Hol(D,M)istheholomorphicmapfromDtoM,andtheCaratheodoryinfinitesimalpeusdometricofXisE(X):=sup… 相似文献
78.
Jouko S. Arponen 《Theoretical chemistry accounts》1991,80(2-3):149-179
Summary The algebraic structures of theconfiguration interaction, normal coupled cluster, andextended coupled cluster methods are reviewed and developed. These methods are pointed out to perform a mapping of the quantum mechanical problem into a classical phase space, where in each case the classical canonical coordinates have characteristically different cluster and locality properties. Special focus is given to the extended coupled cluster method (ECCM), which alone is based on an entirely additively separable coordinate system. The general principles are formulated for systems with both bosonic and fermionic degrees of freedom, allowing both commutative and anticommutative (Grassmann) cluster amplitudes. The properties of the classical images are briefly discussed. It is proposed that phase spaces may exist which are fixed points of quantization.Based on a talk given at theWorkshop on Coupled-Cluster Theory at the Interface of Atomic Physics and Quantum Chemistry, Harvard-Smithsonian Institute for Theoretical Atomic and Molecular Physics, Cambridge, MA, August 7–11, 1990 相似文献
79.
Atsushi Atsuji 《Potential Analysis》2008,29(2):119-138
We show a second main theorem of Nevalinna theory for meromorphic functions on complex submanifolds in C
n
. This has a similar form to the classical one and has a remainder term including Ricci curvature. We also give a concrete
computation of the remainder term in the case of nonsingular algebraic submanifolds.
Partially supported by the Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science. 相似文献
80.
In this paper, we consider deforming a coisotropic submanifold Y in a holomorphic Poisson manifold . Under the assumption that Y has a holomorphic tubular neighborhood, we associate Y with an -algebra that controls the deformations of Y. This -algebra can also be extended to control the simultaneous deformations of the holomorphic Poisson structure π and the coisotropic submanifold Y. 相似文献