Results 81 to 90 of about 5,956,521 (263)
Shift invariant subspaces in growth spaces and sets of finite entropy
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
Transient Offset in 14C After the Carrington Event Recorded by Polar Tree Rings
Abstract The Carrington event of 1859 has been the strongest solar flare in the observational history. It plays a crucial role in shedding light on the frequency and impacts of the past and future Solar Energetic Particle (SEP) events on human societies. We address the impact of the Carrington event by measuring tree‐ring 14C with multiple replications
Joonas Uusitalo +16 more
wiley +1 more source
Properties of meromorphic solutions of $q$-difference equations
In this article, we utilize Nevanlinna value distribution theory to study the solvability and the growth of meromorphic function f(z) that satisfies some q-difference equations, which can be seen the q-difference analogues of Painleve I and II ...
Xiaoguang Qi, Lianzhong Yang
doaj
Discontinuity of the Lempert function and the Kobayashi--Royden metric of the spectral ball
Some results on the discontinuity properties of the Lempert function and the Kobayashi pseudometric in the spectral ball are given.Comment: After submitting this paper to a journal in January the authors received a paper by G.
Nikolov, Nikolai +2 more
core +2 more sources
Unbounded functions in the unit disk
A survey is made of results related to the value distribution of functions which are meromorphic or analytic in the unit disc and have unbounded growth according to some specific growth indicator.
L. R. Sons
doaj +1 more source
The Error Term in Nevanlinna Theory. II [PDF]
[For part I see the author, Duke Math. J. 56, No. 1, 193-218 (1988; Zbl 0659.32005).] Let \(f:\mathbb{C}^ n\to X\) be a nondegenerate holomorphic map into a compact manifold of dimension \(n\). Let \(D\) be a divisor on \(X\) with the complexity \(k\).
openaire +4 more sources
Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem [PDF]
We study several aspects concerning slice regular functions mapping the quaternionic open unit ball into itself. We characterize these functions in terms of their Taylor coefficients at the origin and identify them as contractive multipliers of the Hardy
Alpay, Daniel +3 more
core
Value distribution and potential theory
We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: extensions of Picard's theorems to quasiregular maps between Riemannian ...
Eremenko, Alexandre
core +2 more sources
Nevanlinna Analytical Continuation of the Central Charge in 2D Conformal Field Theory
We present an analytic continuation of the central charge c in two-dimensional conformal field theory (2D CFT), modeled as a Nevanlinna function—an analytic map from the upper half-plane to itself.
Bernardo Barbiellini
doaj +1 more source
A note on $p$-adic Nevanlinna theory [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source

