Results 51 to 60 of about 3,642 (160)
Analytic mappings of the unit disk which almost preserve hyperbolic area
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract In this paper, we study analytic self‐maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, Möbius distortion, the distribution of critical points and Aleksandrov–Clark measures.
Oleg Ivrii, Artur Nicolau
wiley +1 more source
Meromorphic functions of finite $lambda$-type in a half-strip
Karpatsʹkì Matematičnì Publìkacìï, 2012 The Nevanlinna characteristic of meromorphic functions in ahalf-strip, such that $f(sigma)=f(sigma+ 2 pi i)$, isintroduced, and its main properties are investigated. A criterionof $lambda$-type finiteness of holomophic in the half-stripfunctions in terms
Sokul's'ka N.B.
doaj
Nevanlinna theory for the difference operator [PDF]
, 2005 Certain estimates involving the derivative $f\mapsto f'$ of a meromorphic function play key roles in the construction and applications of classical Nevanlinna theory.
Halburd, R. G., Korhonen, R. J.
core +4 more sources
Preface to the special issue on “Old records for new knowledge”
Geoscience Data Journal, Volume 11, Issue 4, Page 357-364, October 2024.Studying a changing world requires observations going back in time to extend and contextualize our latest scientific knowledge. Old legacy data exist in non‐digital formats. Thus, techniques and methodologies for the preservation, dissemination, interpretation, homogenization, calibration, and use of such legacy data and their associated metadata, as ...
Josep Batlló +3 more
wiley +1 more source
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
Kernels with complete Nevanlinna-Pick factors and the characteristic function
Journal of Operator TheoryWe present a unified framework for deriving characteristic functions for kernels that allow a complete Nevanlinna-Pick factor. Notably, our approach not only encapsulates all previously documented cases but also achieves a generalization, thereby expanding the concept of the characteristic function substantially.
Bhattacharyya, Tirthankar, Jindal, Abhay
openaire +2 more sources
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
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Space Weather, Volume 22, Issue 5, May 2024.Abstract As an effect of solar‐terrestrial activity, the aurora has always been a focus of substorm research. The expansion of the aurora is one of the important characteristics during substorms, which could be directly reflected by the change of auroral oval coverage.
Jia‐Nan Jiang +6 more
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
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