Results 31 to 40 of about 2,504,776 (314)
Gaussian analytic functions in the unit ball [PDF]
Israel Journal of Mathematics, 2015 25 ...
Buckley, Jeremiah Anthony +2 more
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Composition of entire function and analytic functions in the unit ball with a vanished gradient
Математичні СтудіїThe composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Berezin transform on the quantum unit ball [PDF]
Journal of Mathematical Physics, 2003 We introduce and study, in the framework of a theory of quantum Cartan domains, a q-analog of the Berezin transform on the unit ball. We construct q-analogs of weighted Bergman spaces, Toeplitz operators, and covariant symbol calculus. In studying the analytical properties of the Berezin transform we introduce also the q-analog of the SU(n,1)-invariant
Shklyarov, Dmitry, Zhang, Genkai
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Homeomorphisms of the unit ball [PDF]
Proceedings of the American Mathematical Society, 1968 Let En= {x: d(x, 0) 0. Originally, the stronger conclusion j I_ Th-I was expected to hold for all En, n> 1; however, a counterexample was constructed in [2] for n ?2. Note that for n = I this stronger conclusion implies infk || Tk -_I >0 and will be used later.
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A Counterexample Concerning C0-Semigroups of Holomorphic Carathéodory Isometries
MathematicsWe give an example for a C0-semigroup of non-linear 0-preserving holomorphic Carathéodory isometries of the unit ball.
László L. Stachó
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The Fractional Carleson Measures on the Unit Ball of ℝn+1
Journal of Function Spaces and Applications, 2013 We construct a quantity in terms of Lp integral of the Jacobian of a conformal self-map on the unit ball of ℝn+1. Then, we characterize the fractional Carleson measures on the unit ball by the quantity.
Dongfang Wang, Bolin Ma
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On holomorphic isometric embeddings of the unit n-ball into products of two unit m-balls [PDF]
Mathematische Zeitschrift, 2010 Let \({\mathbb B}^n\) denote the unit ball in \({\mathbb C}^n\) equipped with the Bergman metric. The author considers a holomorphic embedding \(F(z)=\bigl(A(z),B(z)\bigr)\) from the product \({\mathbb B}^m\times {\mathbb B}^m\) into \({\mathbb B}^n\), isometric up to a normalization constant \(\lambda \). There are two trivial such embeddings: \(F_1(z)
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Concentration of the distance between points in the unit ball [PDF]
, 1998 We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ║x − y║ is more than √2(1 − ε). As a consequence, we obtain a result proved by Bourgain, using QS-decomposition, that guarantees an exponentially ...
Villa, R, Ball, KM
core
The ball embedding property of the open unit disc
, 2011 We prove that the open unit disc Delta in C satisfies the ball embedding property in C(2); i.e., given any discrete set of discs in C(2) there exists a proper holomorphic embedding Delta hooked right arrow C(2) which passes arbitrarily close to the discs.
Borell, Stefan, +2 more
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FEBS Open Bio, EarlyView.The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong +3 more
wiley +1 more source