Results 51 to 60 of about 5,956,521 (263)
Nevanlinna-Pick Interpolation and Factorization of Linear Functionals
, 2011 If $\fA$ is a unital weak-$*$ closed algebra of multiplication operators on a reproducing kernel Hilbert space which has the property $\bA_1(1)$, then the cyclic invariant subspaces index a Nevanlinna-Pick family of kernels.
Davidson, Kenneth R., Hamilton, Ryan
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Predicting the Uniform Electron Gas Stopping Power at Moderate and Strong Coupling
Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.ABSTRACT This paper presents a detailed study of the stopping power of a homogeneous electron gas in moderate and strong coupling regimes using the self‐consistent version of the method of moments as the key theoretical approach capable of expressing the dynamic characteristics of the system in terms of the static ones, which are the moments.
Saule A. Syzganbayeva +8 more
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Value Distribution for a Class of Small Functions in the Unit Disk
International Journal of Mathematics and Mathematical Sciences, 2011 If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
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Interpolation and random interpolation in de Branges–Rovnyak spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract The aim of this paper is to characterize universal and multiplier interpolating sequences for de Branges–Rovnyak spaces H(b)$\mathcal {H}(b)$ where the defining function b$b$ is a general non‐extreme rational function. Our results carry over to recently introduced higher order local Dirichlet spaces and thus generalize previously known results
Andreas Hartmann, Giuseppe Lamberti
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AIMS Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we will establish some theorems about the existence and the forms of entire solutions for several partial differential difference equations (systems) of Fermat type
Hong Yan Xu +3 more
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Cancer Reports, Volume 8, Issue 8, August 2025.ABSTRACT Background Biallelic FANCM variants are linked to a Fanconi anemia‐like cancer predisposition syndrome, which includes early onset breast cancer, chemotherapy toxicity, and chromosome fragility. Additionally, heterozygous truncating variants have been linked to increased breast cancer risk. However, the published results have been inconsistent,
Sonja Sulkava +4 more
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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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Transforming Room Acoustics with Causality‐Driven Dual‐Function Passive Metamaterials
Advanced Materials Technologies, Volume 10, Issue 11, June 5, 2025.This work presents an dual acoustic metamaterial for rooms that achieves excellent broadband performance for both sound absorption and sound diffusion. This is done by using causality formulations linking the absorption of the passive system to its volume, yielding an optimal surface area ratio required for excellent sound absorption and while ...
Eric Ballestero +5 more
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Notes on meromorphic functions sharing small function and its derivatives
Arab Journal of Mathematical Sciences, 2015 In this paper we study the uniqueness theorems of meromorphic functions which share a small function with its derivatives, and give some results which are related to the results of P. Li.
Amer H.H. Al-Khaladi
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Karpatsʹkì Matematičnì Publìkacìï, 2021 The purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the
A. Banerjee, S. Bhattacharyya
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