Results 41 to 50 of about 14,879 (215)
Generalized Carleson--Newman inner functions
, 2012 We study a class of inner functions introduced by Gorkin, Mortini, and Nikolski, and motivated by Banach algebras and functional calculus applications.
Borichev, Alexander
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Approximation by Interpolating Blaschke Products.
MATHEMATICA SCANDINAVICA, 1996 Suppose that \(H^\infty\) is the set of bounded analytic functions in the unit disk \(D\) and that \(T=\partial D\). A Blaschke product \(B(z)\) is a bounded analytic function of the form \[ B(z)= z^m \prod_{n=1}^\infty \frac{-\overline{z}_n} {|z_n|} \frac{z- z_n} {1-\overline{z}_n} \quad \text{where } \sum(1-|z_n|)< \infty,\;|B(e^{i\theta})|=1 \text ...
openaire +2 more sources
Superstatistics of Blaschke products [PDF]
Dynamical Systems, 2015 12 pages, 1 figure.
Penrose, C, Beck, C
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
, 2007 We establish an extension of Liouville's classical representation theorem for solutions of the partial differential equation $\Delta u=4 e^{2u}$ and combine this result with methods from nonlinear elliptic PDE to construct holomorphic maps with ...
Kraus, Daniela, Roth, Oliver
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Blaschke Products, Level Sets, and Crouzeix’s Conjecture [PDF]
, 2023 Kelly Bickel, Pamela Gorkin
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Journal of Synchrotron Radiation, Volume 33, Issue 1, Page 106-114, January 2026.MAPI is a modular web‐based framework designed to unite legacy analysis code with heterogeneous backends (edge, on‐premises, high‐performance computing, cloud), dramatically accelerating data analysis workflows and offering a scalable flexible blueprint for modernizing synchrotron data analysis.In this paper, we introduce the Modular Adaptive ...
Aljoša Hafner +3 more
wiley +1 more source
Blaschke products with derivative in function spaces [PDF]
, 2010 Let $B$ be a Blaschke product with zeros $\{a_n\}$. If $B' \in A^p_{\alpha}$ for certain $p$ and $\alpha$, it is shown that $\sum_n (1 - |a_n|)^{\beta} < \infty$ for appropriate values of $\beta$. Also, if $\{a_n\}$ is uniformly discrete and if $B' \in H^
Protas, David
core
Extremal holomorphic maps and the symmetrised bidisc
, 2012 We introduce the class of $n$-extremal holomorphic maps, a class that generalises both finite Blaschke products and complex geodesics, and apply the notion to the finite interpolation problem for analytic functions from the open unit disc into the ...
Agler, Jim +2 more
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