Results 51 to 60 of about 9,438,737 (154)

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

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, Hisashi Hayakawa, Victoria Slonosky, Richard I. Crouthamel   +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

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

A Superposed Epoch Analysis of Auroral Oval Coverage During Substorms Using Deep Learning‐Based Segmentation Models

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, Zi‐Ming Zou, Yang Lu, Jia Zhong, Yong Wang, Yu‐Zhang Ma, Bian‐Long Zhao   +6 more
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  

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, Kseniia Golubenko, Laura Arppe, Nicolas Brehm, Thomas Hackman, Hisashi Hayakawa, Samuli Helama, Kenichiro Mizohata, Fusa Miyake, Harri Mäkinen, Pekka Nöjd, Eija Tanskanen, Fuyuki Tokanai, Eugene Rozanov, Lukas Wacker, Ilya Usoskin, Markku Oinonen   +16 more
wiley   +1 more source

Digitized Continuous Magnetic Recordings for the August/September 1859 Storms From London, UK

Space Weather, Volume 22, Issue 3, March 2024.
Abstract Dedicated scientific measurements of the strength and direction of the Earth's magnetic field began at Greenwich and Kew observatories in London, United Kingdom, in the middle of the nineteenth century. Using advanced techniques for the time, collimated light was focussed onto mirrors mounted on free‐swinging magnetized needles which reflected
C. D. Beggan, E. Clarke, E. Lawrence, E. Eaton, J. Williamson, K. Matsumoto, H. Hayakawa   +6 more
wiley   +1 more source

Linear relations generated by integral equations with Nevanlinna operator measures

Filomat
We consider a family of minimal relations L0(?) generated by an integral equation with a Nevanlinna operator measure and give a description the families L0(?), L* 0(??), where ? ? C.
V. Bruk
semanticscholar   +1 more source