Results 161 to 170 of about 530 (201)

SEMIGROUPS OF CONFORMAL MAPPINGS

Mathematics of the USSR-Sbornik, 1987
Let \({\mathfrak L}_{\Gamma}\) denote the set of conformal mappings \(\phi\) of the disc \(E=\{z:| z|
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A Semigroup Approach to Harmonic Maps

Potential Analysis, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Endomorphisms of the semigroup of order-preserving mappings

Semigroup Forum, 2010
An endomorphism \(f\) of \(\{1,2,\dots,n\}\) is called order preserving provided that \(i\leq j\) implies \(f(i)\leq f(j)\). The main result of this paper gives a complete classification of the semigroup of all order-preserving endomorphisms of \(\{1,2,\dots,n\}\).
Fernandes, V. H., Jesus, M. M., Maltcev, V., Mitchell, J. D.   +3 more
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Semigroups of Holomorphic Mappings

2019
In this chapter we consider certain autonomous dynamical systems acting on the open unit ball of a complex Banach space. Our interest in such systems is based on the fact that if a dynamical system is differentiable with respect to time, then its derivative is a holomorphically dissipative mapping.
Mark Elin, Simeon Reich, David Shoikhet
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The Spectral Mapping Property of Delay Semigroups

Complex Analysis and Operator Theory, 2008
This paper is concerned with the abstract delay equation \(u'(t)=Bu(t)+\sum_{j=1}^{k}C_ju(t-h_j)\), \(t\geq 0\), in a Banach space \(X\), where \(B\) is the generator of a strongly continuous semigroup on \(X\), \(C_j\) are bounded linear operators on \(X\), \(h_j\in \alpha \mathbb{Q}\) for some \(\alpha\in \mathbb{R}\) and all \(j=1,\dots,k\).
Bátkai, András, Eisner, Tanja, Latushkin, Yuri   +2 more
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Dynamics of Semigroups of Henon Maps

Indiana University Mathematics Journal
The goal of this article is two fold. Firstly, we explore the dynamics of a semigroup of polynomial automorphisms of $\mathbb{C}^2$, generated by a finite collection of Hénon maps. In particular, we construct the positive and negative dynamical Green's functions $G_{\mathscr{G}}^\pm$ and the corresponding dynamical Green's currents $μ_{\mathscr{G}}^\pm$
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Multiplicative semigroups of continuous mappings

Acta Mathematica Hungarica, 1990
Shirota's and Milgram's (in fact, also Kaplansky's) results characterizing compact or realcompact spaces by means of semigroups \(C(X)\), are generalized to semigroups \(C(X,S)\) for special semigroups \(S\) (the reviewer's generalization of the above mentioned results [Math. Z. 111, 214--220 (1969; Zbl 0175.49602)], is not covered).
Császár, Á., Thümmel, E.
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The infinitesimal generators of semigroups of holomorphic maps

Annali di Matematica Pura ed Applicata (1923 -), 1992
Let \(X\) be a complex manifold. By \(\text{Hol}(X,X)\) we denote the space of holomorphic maps from \(X\) into inself. A one-parameter semigroup of holomorphic maps on \(X\) is a continuous map \(\varphi:\mathbb{R}^ +\to\text{Hol}(X,X)\) such that \(\varphi_ 0=\text{id}_ X\) and \(\varphi_ t\circ\varphi_ t=\varphi_{s+t}\) for all \(s,t\in\mathbb{R}^ +\
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A Note on Semigroups of Mappings on Banach Spaces

Journal of the Australian Mathematical Society, 1969
In a series of papers K. D. Magill, Jr. (see [1] and its references) has proved that, in various semigroups of mappings on topological spaces, every automorphism is inner, where an automorphism φ of a semigroup A is a bijection of A such that for all ƒ and g in A, and it is said to be inner if there exists a bijection h ∈ A such that h−1 (the inverse ...
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On the Ternary Semigroups of Continuous Mappings

2021
A ternary semigroup is a nonempty set with a ternary operation which is associative. In this paper, some properties of ternary semigroups are investigated and an abstract characterization of ternary semigroups of continuous mappings defined on ternary separated topological spaces is given.
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