Results 11 to 20 of about 3,280,717 (275)
Bergman projections on weighted Fock spaces in several complex variables [PDF]
Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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Prescribing the preSchwarzian in several complex variables
We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued locally biholomorphic function on a domain in $\C^n$. Then one can define a several variables $f\to f_ $ transform via the operator equation $[Df_ (z)]^{-1}D^2f_ (z)= [Df(z)]^{
Rodrigo, Hernández
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Several Complex Variables [PDF]
Contains sections on Non compact complex manifolds, Differential geometry and complex analysis, Problems in approximation, Value distribution theory, Group representation and harmonic analysis, and Survey papers.
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Bitlyan-Gol'dberg type inequality for entire functions and diagonal maximal term
In the article is obtained an analogue of Wiman-Bitlyan-Gol'dberg type inequality for entire $f\colon\mathbb{C}^p\to \mathbb{C}$ from the class $\mathcal{E}^{p}(\lambda)$ of functions represented by gap power series of the form $$ f(z)=\sum\limits_{k=0}^{
A. O. Kuryliak +2 more
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Random polynomials in several complex variables
This replaces and improves a previous version which has a gap in the proof of the higher codimension case at the ...
Bayraktar, Turgay +2 more
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The composition H(z)=f(Φ(z)) is studied, where f is an entire function of a single complex variable and Φ is an entire function of n complex variables with a vanished gradient.
Andriy Bandura +2 more
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Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
Let be the unit ball in with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping to be extended to a quasiconformal homeomorphism of onto itself. In the last section we consider the
Kohr Gabriela, Curt Paula
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Removable sets for holomorphic functions of several complex variables [PDF]
We show that every closed subset of CN that has finite (2N-2) dimensional measure is a removable set for holomorphic functions, and we obtain a related result on the ...
Stout, E. L.
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For analytic functions $$f(z)=z+\sum\limits_{k=2}^{\infty}f_kz^k \mbox{ and } g(z)=z+\sum\limits_{k=2}^{\infty}g_kz^k$$ in the unit disk properties of the Hadamard compositions $D^n_{l,[S]}f*D^n_{l,[S]}g$ and $D^n_{l,[R]}f*D^n_{l,[R]}g$ of their Gelfond ...
M.M. Sheremeta
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions
The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova +3 more
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