Results 71 to 80 of about 958 (219)
Nevanlinna Theory in the P-Adic Plane. [PDF]
, 1986 Nevanlinna Theory has been an important aspect of classical complex analysis for over 60 years. The purpose of this thesis is to construct an analogous theory for the p-adic plane (OMEGA)(,p).
Corrales-Rodriganez, Capi
core
The error term of holomorphic mappings in Nevanlinna theory [PDF]
, 1995 We construct a holomorphic mapping from C m {\mathbb {C}^m} to P n {\mathbb {P}^n} for any m and n with
Zhuan Ye
core +1 more source
The Error Term in Nevanlinna Theory. II [PDF]
Bulletin of the American Mathematical Society, 1990 [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
New Applications of the p-Adic Nevanlinna Theory [PDF]
p-Adic Numbers, Ultrametric Analysis and Applications, 2018 Let IK be an algebraically closed field of characteristic 0 complete for an ultrametric absolute value. Following results obtained in complex analysis , here we examine problems of uniqueness for meromorphic functions having finitely many poles, sharing points or a pair of sets (C.M.
Escassut, Alain, Thi Hoai An, Ta
openaire +2 more sources
On the structure of Nevanlinna measures
Mathematische Nachrichten, Volume 297, Issue 7, Page 2488-2516, July 2024.Abstract In this paper, we study the structural properties of Nevanlinna measures, that is, Borel measures that arise in the integral representation of Herglotz–Nevanlinna functions. In particular, we give a characterization of these measures in terms of their Fourier transform, characterize measures supported on hyperplanes including extremal measures,
Mitja Nedic, Eero Saksman
wiley +1 more source
XIIIth Rolf Nevanlinna-Colloquium [PDF]
, 1988 The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium,
Sorvali, Tuomas +2 more
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Wetzel families and the continuum
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract We provide answers to a question brought up by Erdős about the construction of Wetzel families in the absence of the continuum hypothesis: A Wetzel family is a family F$\mathcal {F}$ of entire functions on the complex plane which pointwise assumes fewer than |F|$\vert \mathcal {F} \vert$ values.
Jonathan Schilhan, Thilo Weinert
wiley +1 more source
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
Applications of Nevanlinna theory to q-difference equations [PDF]
, 2006 Recently Nevanlinna theory (the theory of meromorphic functions) has been used as a detector of integrability of difference equations. In this thesis we study meromorphic solutions of so-called q-difference equations and extend some key results from ...
David C. Barnett (7160546)
core +3 more sources
Transient Offset in 14C After the Carrington Event Recorded by Polar Tree Rings
Geophysical Research Letters, Volume 51, Issue 5, 16 March 2024.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