Results 11 to 20 of about 150,251 (161)
Constructive Mathematical Analysis, 2020 Our results concern growth estimates for vector-valued functions of $\mathbb{L}$-index in joint variables which are analytic in the unit ball. There are deduced analogs of known growth estimates obtained early for functions analytic in the unit ball.Our estimates contain logarithm of $\sup$-norm instead of logarithm modulus of the function.They ...
Vita Baksa +2 more
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Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 2020 Let b∈Cn\{0} be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e., we study functions that are analytic in the intersection of every slice {z0+tb:t∈C} with the unit ball Bn={z∈C:|z|:=|z|12 ...
Andriy Bandura +2 more
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Central limit theorems for patterns in multiset permutations and set partitions [PDF]
, 2019 We use the recently developed method of weighted dependency graphs to prove central limit theorems for the number of occurrences of any fixed pattern in multiset permutations and in set partitions.
Féray, Valentin
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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Concentration Inequalities for Functions of Gibbs Fields with Application to Diffraction and Random Gibbs Measures [PDF]
, 2002 We derive useful general concentration inequalities for functions of Gibbs fields in the uniqueness regime. We also consider expectations of random Gibbs measures that depend on an additional disorder field, and prove concentration w.r.t.
Baake +16 more
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Analytic functions in a bidisc of bounded $\mathbf{L}$-index in joint variables
, 2016 23 ...
Bandura, A. I. +2 more
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AMS Without 4-Wise Independence on Product Domains [PDF]
, 2010 In their seminal work, Alon, Matias, and Szegedy introduced several sketching techniques, including showing that 4-wise independence is sufficient to obtain good approximations of the second frequency moment.
Braverman, Vladimir +4 more
core +3 more sources
A Nonstochastic Information Theory for Communication and State Estimation
, 2014 In communications, unknown variables are usually modelled as random variables, and concepts such as independence, entropy and information are defined in terms of the underlying probability distributions.
Nair, Girish N.
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Functional single index models for longitudinal data
, 2011 A new single-index model that reflects the time-dynamic effects of the single index is proposed for longitudinal and functional response data, possibly measured with errors, for both longitudinal and time-invariant covariates.
Jiang, Ci-Ren, Wang, Jane-Ling
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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
doaj +1 more source