Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Myrto Manolaki"'
Publikováno v:
Canadian Mathematical Bulletin. 66:643-653
In Gauthier, Manolaki, and Nestoridis (2021, Advances in Mathematics 381, 107649), in order to correct a false Mergelyan-type statement given in Gamelin and Garnett (1969, Transactions of the American Mathematical Society 143, 187–200) on uniform a
Publikováno v:
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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In this paper, we provide an efficient method for computing the Taylor coefficients of $$1-p_n f$$ , where $$p_n$$ denotes the optimal polynomial approximant of degree n to 1/f in a Hilbert space $$H^2_\omega $$ of analytic functions over the unit di
Publikováno v:
Analysis and Mathematical Physics. 9:679-709
This survey is dedicated to the scientific achievements of Stephen Gardiner in honour of his 60th birthday.
Publikováno v:
Complex Analysis and its Synergies. 7
In this paper, we show that one-sided extendability of functions in certain $$L^{\infty }$$ spaces of a rectifiable Jordan arc is a rare phenomenon. We also discuss possible generalizations.
Publikováno v:
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
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Let $E$ be a closed subset of the unit circle of measure zero. Recently, Beise and M\"uller showed the existence of a function in the Hardy space $H^2$ for which the partial sums of its Taylor series approximate any continuous function on $E$. In thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94aac7806973cea2718361ea36db8065
https://doi.org/10.1016/j.jat.2020.105389
https://doi.org/10.1016/j.jat.2020.105389
Autor:
Stephen J. Gardiner, Myrto Manolaki
Let $f$ be a holomorphic, or even meromorphic, function on the unit disc. Plessner's theorem then says that, for almost every boundary point $\zeta $, either (i) $f$ has a finite nontangential limit at $\zeta $, or (ii) the image $f(S)$ of any Stolz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77bae18e541854b6ada9fbbd732b2bbb
Publikováno v:
Annales mathématiques du Québec. 42:159-167
In this paper we study some questions related to the zero sets of harmonic and real analytic functions in $${\mathbb {R}}^N$$ . We introduce the notion of analytic uniqueness sequences and, as an application, we show that the zero set of a non-consta
For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions.
Oberwolfach Preprints;2019,02
Oberwolfach Preprints;2019,02
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45697ff60c2a13525661f7f0a86f3498
Autor:
Myrto Manolaki, Paul M. Gauthier
Publikováno v:
Fields Institute Communications ISBN: 9781493975426
In this paper we characterize the sequences of possible values of a subharmonic function along a convergent sequence of points. We also discuss some related open questions and possible generalizations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7080a2437641e83db72ed58ff94b8efd
https://doi.org/10.1007/978-1-4939-7543-3_15
https://doi.org/10.1007/978-1-4939-7543-3_15
Publikováno v:
Fields Institute Communications ISBN: 9781493975426
Andre Boivin will be fondly remembered for many reasons. We shall attempt to convey the impact he has had on the authors of this note (and many others) by describing his wonderful personality and his important contributions in the field of Complex Ap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2bc76007b7f2a0681e0bd944486ebff5
https://doi.org/10.1007/978-1-4939-7543-3_1
https://doi.org/10.1007/978-1-4939-7543-3_1