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Holomorphic families of non-equivalent embeddings and of holomorphic group actions on affine space
Holomorphic families of non-equivalent embeddings holomorphic group affine space
2010/11/19
We construct holomorphic families of proper holomorphic embeddings of $\C^k$ into $\C^n$ ($0or any two different parameters in the family no holomorphic automorphism of $\C^n$ can ...
A Hölder Inequality for Holomorphic Functions
Complex hypercontractivity Holomorphic Hö lder inequality
2008/7/3
A Hölder Inequality for Holomorphic Functions.
Necessary and Sufficient Condition for Existence and Uniqueness of the Solution of Cauchy Problem for Holomorphic Fuchsian Operators
Banach algebra Cauchy problem Fuchsian characteristic polynomial Fuchsian differential operator Fuchsian principal weight holomorphic differentiable manifold
2008/6/30
In this paper a Cauchy problem for holomorphic differential operators of Fuchsian type is investigated. Using Ovcyannikov techniques and the method of majorants, a necessary and sufficient condition f...
Second Order Differential Subordinations of Holomorphic Mappings on Bounded Convex Balanced Domains in $C^n$
Differential subordination biholomorphic convex mapping convex balanced domain Minkowski functional
2008/6/27
Second Order Differential Subordinations of Holomorphic Mappings on Bounded Convex Balanced Domains in $C^n$.
Random almost holomorphic sections of ample line bundles on symplectic manifolds
holomorphic sections line bundles on symplectic manifolds
2010/10/29
The spaces $H^0(M, L^N)$ of holomorphic sections of the powers of an ample line bundle $L$ over a compact K\"ahler manifold $(M,\omega)$ have been generalized by Boutet de Monvel and Guillemin to spa...