On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane [PDF]
The Ramanujan Journal, 2008 Accepted by The Ramanujan Journal on the 26th October 2005; galley proof version updated on the 9th Novermber 2007; deleted footnote 2, page 2 and reference 33 in the final galley ...
Chiang, Yik-Man MATH, Feng, Shao-Ji
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Scattering Theory for Open Quantum Systems [PDF]
, 2006 Quantum systems which interact with their environment are often modeled by maximal dissipative operators or so-called Pseudo-Hamiltonians. In this paper the scattering theory for such open systems is considered.
Behrndt, J. +2 more
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On the differentiability of T(r,f)
International Journal of Mathematics and Mathematical Sciences, 1982 It is well known that T(r,f) is differentiable at least for r>r0. We show that, in fact, T(r,f) is differentiable for all but at most one value of r, and if T(r,f) fails to have a derivative for some value of r, then f is a constant times a quotient of ...
Douglas W. Townsed
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Constrained characteristic functions, multivariable interpolation, and invariant subspaces
Journal of Inequalities and Applications, 2020 In this paper, we present a functional model theorem for completely non-coisometric n-tuples of operators in the noncommutative variety V f , φ , I ( H ) $\mathcal{V}_{f,\varphi,\mathcal{I}}(\mathcal{H})$ in terms of constrained characteristic functions.
Jian Hu, Maofa Wang, Wei Wang
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Meromorphic functions of finite $\lambda$-type in a half-strip
Karpatsʹkì Matematičnì Publìkacìï, 2013 The Nevanlinna characteristic of meromorphic functions in a half-strip, such that $f(\sigma)=f(\sigma+ 2\pi i)$, is introduced, and its main properties are investigated.
N. B. Sokul's'ka
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Generalized ABC theorems for non-Archimedean entire functions of several variables in arbitrary characteristic [PDF]
, 2008 We prove generalized ABC theorems for vanishing sums of non-Archimedean entire functions of several variables in arbitrary characteristic.Comment: 29 pages, references ...
Cherry, William, Toropu, Cristina
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Growth characteristics of loxodromic and elliptic functions [PDF]
Математичні Студії, 2012 The asymptotic behaviour of the Nevanlinna characteristic for loxodromic functions as well as the Nevanlinna type characteristic for elliptic functions are investigated.
A. Ya. Khrystiyanyn +2 more
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Integrals of subharmonic functions and their differences with weight over small sets on a ray
Математичні Студії, 2020 Let $E$ be a measurable subset in a segment $[0,r]$ in the positive part of the real axis in the complex plane, and $U=u-v$ be the difference of subharmonic functions $u\not\equiv -\infty$ and $v\not\equiv -\infty$ on the complex plane.
B.N. Khabibullin
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Extreme problems in the space of meromorphic functions of finite order in the half plane. II
Математичні Студії, 2020 The extremal problems in the space of meromorphic functions of order $\rho>0$ in upper half-plane are studed. The method for studying is based on the theory of Fourier coefficients of meromorphic functions.
K.G. Malyutin, A.A. Revenko
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On characterizations of main parts of some meromorphic classes of area Nevanlinna [PDF]
Проблемы анализа, 2011 We characterize main parts of Loran expansions of certain meromorphic spaces in the unit disk defined with the help of Nevanlinna characteristic.
Shamoyan R., Haiying L.
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