Results 41 to 50 of about 6,490,162 (222)
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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Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
Journal of Mathematics, Volume 2026, Issue 1, 2026.A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators Tf, where the symbol f ...
Aissa Bouhali +3 more
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Entire function sharing two polynomials with its $k$th derivative [PDF]
Mathematica BohemicaWe investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011).
Sujoy Majumder, Nabadwip Sarkar
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Representing maps for semibounded forms and their Lebesgue‐type decompositions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract In the Lebesgue decomposition of a lower semibounded sesquilinear form, the corresponding regular and singular parts are mutually singular. The more general Lebesgue‐type decompositions studied here allow components that need not be mutually singular anymore.
S. Hassi, H. S. V. de Snoo
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Difference Nevanlinna theories with vanishing and infinite periods
, 2017 By extending the idea of a difference operator with a fixed step to varying-steps difference operators, we have established a difference Nevanlinna theory for meromorphic functions with the steps tending to zero (vanishing period) and a difference ...
Chiang, Yik-Man, Luo, Xudan
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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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Meromorphic Function of Fuzzy Complex Variables
Journal of New Theory, 2018 The fuzzy complex set is a fuzzy set whose values lies in the unit circle jzj · 1 in the complex plane. The Nevanlinna characteristic function playes an important role in the theory of entire and meromorphic function. In this paper we introduce
Arindam Jha
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Nevanlinna’s Five Values Theorem on Annuli
Mathematics, 2016 By using the second main theorem of the meromorphic function on annuli, we investigate the problem on two meromorphic functions partially sharing five or more values and obtain some theorems that improve and generalize the previous results given by Cao ...
Hong-Yan Xu, Hua Wang
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The study of solutions for several systems of PDDEs with two complex variables
Demonstratio Mathematica, 2023 The purpose of this article is to describe the properties of the pair of solutions of several systems of Fermat-type partial differential difference equations.
Xu Yi Hui, Liu Xiao Lan, Xu Hong Yan
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Partially fundamentally reducible operators in Krein spaces [PDF]
, 2014 A self-adjoint operator $A$ in a Krein space $\bigl({\mathcal K},[\,\cdot\,,\cdot\,]\bigr)$ is called partially fundamentally reducible if there exist a fundamental decomposition ${\mathcal K} = {\mathcal K}_+ [\dot{+}] {\mathcal K}_-$ (which does not ...
Derkach, Vladimir, Ćurgus, Branko
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