Results 71 to 80 of about 5,364,433 (202)

Shift invariant subspaces in growth spaces and sets of finite entropy

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract We investigate shift invariant subspaces within the realm of analytic functions in the unit disc, whose radial growth is determined by a majorant w$w$. Our main result offers a complete characterization of the shift invariant subspaces generated by Nevanlinna class functions within the aforementioned class of growth spaces.
Adem Limani
wiley   +1 more source

Realization theory for Herglotz--Nevanlinna and Schur class functions: from one to several variables and beyond

, 2020
In this survey talk I will recall how the familiar integral representation for Herglotz--Nevanlinna functions can be recast in operator theoretic or rather system theoretic terms, namely as a realization of the function as the transfer function of an ...
Vinnikov, Victor
core   +1 more source

Growth of solutions to higher order linear homogeneous differential equations in angular domains

Electronic Journal of Differential Equations, 2010
In this article, we discuss the growth of meromorphic solutions to higher order homogeneous differential equations in some angular domains, instead of the whole complex plane.
Nan Wu
doaj  

An Analogue of Continued Fractions in Number Theory for Nevanlinna Theory [PDF]

, 2004
We show an analogue of continued fractions in approximation to irrational numbers by rationals for Nevanlinna theory. The analogue is a sequence of points in the complex plane which approaches a given nite set of points and at a given rate in the sense ...
Ye, Zhuan
core   +1 more source

Uniqueness of shift and derivatives of meromorphic functions

Математичні Студії
This paper addresses the uniqueness problem concerning the j-th derivative of a meromorphic function $f(z)$ and the k-th derivative of its shift, $f(z+c),$ where $j,k$ are integers with $0\leq ...
D. C. Pramanik, A. Sarkar
doaj   +1 more source

On solutions of several Fermat-type partial differential-difference equations in C2

Demonstratio Mathematica
In this paper, we study entire solutions of several Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$ by applying Nevanlinna theory of meromorphic functions in several complex variables.
Tang Caoqiang, Huang Zhigang
doaj   +1 more source

Spectral Transition for Dirac Operators with Electrostatic δ -Shell Potentials Supported on the Straight Line. [PDF]

Integr Equ Oper Theory, 2022
Behrndt J, Holzmann M, Tušek M.
europepmc   +1 more source

Duetto harmonikalle ja alttoviululle

, 1982
Soitinnus: harmonikka, alttoviulu.Sibelius-Akatemia 100 vuotta -konserttisarja 7.3.1982.Matti Rantanen (harmonikka), Tapio Nevanlinna (alttoviulu).Äänitetty: 7.3.1982, Helsinki, Sibelius-Akatemian konserttisali (konserttitaltiointi).Digitoitu 14.9 ...
Nevanlinna, Tapio, säv.
core  

On the Absolutely Continuous Spectrum of Generalized Indefinite Strings. [PDF]

Ann Henri Poincare, 2021
Eckhardt J, Kostenko A.
europepmc   +1 more source

Value distribution theory of Nevanlinna

Journal of Physics: Conference Series, 2020
Abstract In the field of research, a century old value distribution theory of Nevanlinna is still alive. It contains a broad range of implementations inside and outside a function theory. It is the study to speculate different values by complex function.
openaire   +1 more source