Zobrazeno 1 - 10
of 14 769
pro vyhledávání: '"maximum modulus"'
Autor:
Batra, Prashant
Many upper bounds for the moduli of polynomial roots have been proposed but reportedly assessed on selected examples or restricted classes only. Regarding quality measured in terms of worst-case relative overestimation of the maximum root-modulus we
Externí odkaz:
http://arxiv.org/abs/2411.16385
Autor:
Palma-Márquez, Jesús, Yeung, Melvin
We study large classes of real-valued analytic functions that naturally emerge in the understanding of Dulac's problem, which addresses the finiteness of limit cycles in planar differential equations. Building on a Maximum Modulus-type result we got,
Externí odkaz:
http://arxiv.org/abs/2410.07532
Autor:
Nacinovich, Mauro, Porten, Egmont
We introduce a notion of locally approximable continuous CR functions on locally closed subsets of reduced complex spaces, generalizing both holomorphic functions and CR functions on CR submanifolds. Under additional assumptions of set-theoretical we
Externí odkaz:
http://arxiv.org/abs/2402.19057
Autor:
Nafisah, Ibrahim A.1 (AUTHOR) inafisah@ksu.edu.sa, Sheikh, Sajad A.2 (AUTHOR) sajadsheikh@uok.edu.in, Alshahrani, Mohammed A.3 (AUTHOR) m.alshahrani@psau.edu.sa, Almazah, Mohammed M. A.4 (AUTHOR) mmalmazah@kku.edu.sa, Alnssyan, Badr5 (AUTHOR) b.alnssyan@qu.edu.sa, Dar, Javid Gani6 (AUTHOR) javid.dar@sitpune.edu.in
Publikováno v:
Mathematics (2227-7390). Oct2024, Vol. 12 Issue 19, p2993. 16p.
In this note we prove a sub-Riemannian maximum modulus theorem in a Carnot group. Using a nontrivial counterexample, we also show that such result is best possible, in the sense that in its statement one cannot replace the right-invariant horizontal
Externí odkaz:
http://arxiv.org/abs/2305.19145
Akademický článek
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Autor:
Wilke, Anne-Edgar
In this article, we first try to make the known analogy between convexity and plurisubharmonicity more precise. Then we introduce a notion of strict plurisubharmonicity analogous to strict convexity, and we show how this notion can be used to study t
Externí odkaz:
http://arxiv.org/abs/2210.14087
Akademický článek
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Autor:
Glücksam, Adi, Pardo-Simón, Leticia
In this note we investigate the asymptotic behavior of the number of maximum modulus points, of an entire function, sitting in a disc of radius $r$. In 1964, Erd\Humlaut{o}s asked whether there exists a non-monomial function so that this quantity is
Externí odkaz:
http://arxiv.org/abs/2208.11154