Results 11 to 20 of about 17,142 (213)
Analytic in the unit polydisc functions of bounded L-index in direction
Математичні Студії, 2023 The concept of bounded $L$-index in a direction $\mathbf{b}=(b_1,\ldots,b_n)\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ is generalized for a class of analytic functions in the unit polydisc, where $L$ is some continuous function such that for every $z=(z_1 ...
A. Bandura, T. Salo
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SYSTEM COMPLETENESS OF RESONANCE STATES FOR GRAPHS WITH DIFFERENT GEOMETRY [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2019 Resonant states (quasi-intrinsic functions) play an important role in the scattering problem and in the description of transportprocesses. We consider the system completeness of resonance states on a finite subgraph for quantum graphs with both finite ...
I. V. Blinova +2 more
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Advances in Difference Equations, 2021 This paper deals with boundary value problems for local and nonlocal Laplace operator in 2D with exponential nonlinearities, the so-called Liouville type equations.
Angela Slavova, Petar Popivanov
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Advances in Mathematics, 2013 We consider the classical problem of maximizing the derivative at a fixed point over the set of all bounded analytic functions in the unit disk with prescribed critical points. We show that the extremal function is essentially unique and always an indestructible Blaschke product. This result extends the Nehari--Schwarz Lemma and leads to a new class of
Kraus, Daniela, Roth, Oliver
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Derivatives of Blaschke products [PDF]
Pacific Journal of Mathematics, 1984 This paper is a study of the behavior of the derivative of an infinite Blaschke product, focusing on membership of the derivative B' or fractional derivatives \(B^{\beta}\) in the classes \(A^{p,\alpha}\).
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Maximal subalgebra of Douglas algebra
International Journal of Mathematics and Mathematical Sciences, 1988 When q is an interpolating Blaschke product, we find necessary and sufficient conditions for a subalgebra B of H∞[q¯] to be a maximal subalgebra in terms of the nonanalytic points of the noninvertible interpolating Blaschke products in B. If the set M(B)⋂
Carroll J. Gullory
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Blaschke product generated covering surfaces [PDF]
Mathematica Bohemica, 2009 Summary: It is known that, under very general conditions, Blaschke products generate branched covering surfaces of the Riemann sphere. We are presenting here a method of finding fundamental domains of such coverings and we are studying the corresponding groups of covering transformations.
Barza, Ilie, Ghisa, Dorin
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Clark measures and a theorem of Ritt [PDF]
, 2018 We determine when a finite Blaschke product B can be written, in a non-trivial way, as a composition of two finite Blaschke products (Ritt's problem) in terms of the Clark measure for B. Our tools involve the numerical range of compressed shift operators
Chalendar, I +3 more
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Necessary and Sufficient Conditions for Inner Functions to Be in QK(p,p-2)-Spaces
Journal of Function Spaces, 2015 Under some regularity conditions on K, inner functions in QK(p,p-2)-spaces are characterized in the following way: an inner function belongs to QK(p,p-2) if and only if it is a Blaschke product associated with {zn} satisfying supa∈D∑nK(1-|φa(zn)|)
Atte Reijonen
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Complex Manifolds, 2017 This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
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