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On Holomorphic Map**s with Compact Type Range
Using Mujica’s linearization theorem, we extend to the holomorphic setting some classical characterizations of compact (weakly compact, Rosenthal,...
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A Brief Survey on Dimension Estimate of Holomorphic Functions on Kähler Manifolds
We survey on dimension estimate of holomorphic functions on Kähler manifolds with nonnegative curvature.
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Local Properties of Holomorphic Functions
Every student remembers from her or his first (or, at least, second) course on calculus that the function.
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Singularities of Holomorphic Vector Fields in Dimensions \(\geq 3\) : Results and Problems
In dimensions greater than or equal to 3, the local structure of a singular holomorphic foliation conceals a globally defined foliation on the...
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Dual-holomorphic Functions and Problems of Lifts
The main purpose of this paper is to study the differential geometrical objects on tangent bundle corresponding to dual-holomorphic objects of...
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Decomposable Five-Dimensional Lie Algebras in the Problem on Holomorphic Homogeneity in ℂ3
In connection with the problem of describing holomorphically homogeneous real hypersurfaces in the space ℂ 3 , we study five-dimensional real Lie...
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Holomorphic Reflexivity for Locally Finite and Profinite Groups: The Abelian and General Cases
AbstractAkbarov’s theory of holomorphic reflexivity for topological Hopf algebras has been developed in two directions, namely, by the complication...
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One-sided invertibility of Toeplitz operators on the space of all holomorphic functions on finitely connected domains
We prove that if the symbol of a Toeplitz operator acting on the space of all holomorphic functions on a finitely connected domain is non-degenerate...
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Non-existence of complete Kähler metric of negatively pinched holomorphic sectional curvature
We prove a theorem which provides a sufficient condition for the non-existence of a complete Kähler–Einstein metric of negative scalar curvature of...
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Estimate of the Second Coefficient of Holomorphic Map**s of a Disk into Itself with Two Fixed Points
AbstractOn the class of holomorphic self-map**s of the unit disk with an internal and a boundary fixed point, we consider the problem of...
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Singular symplectic spaces and holomorphic membranes
We set up a topological framework for degenerations of symplectic manifolds into singular spaces paying a special attention to the behavior of...
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Toeplitz operators on the space of all holomorphic functions on finitely connected domains
We define and study Toeplitz operators on the Fréchet space of all holomorphic functions on finitely connected domains in the Riemann sphere. We...
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Uniform Asymptotics of Solutions to Linear Differential Equations with Holomorphic Coefficients in the Neighborhood of an Infinitely
AbstractThis paper is devoted to describing the asymptotic behavior of solutions to linear differential equations with holomorphic coefficients in...