Results 321 to 330 of about 710,122 (376)

Analytic Extension of Functions from Analytic Hilbert Spaces*

Chinese Annals of Mathematics, Series B, 2007
Let \(M\) be an invariant subspace of \(H^{2}_{v}\). The author shows that, for each \(f \in M^{\perp}\), \(f\) can be analytically extended across \(\partial \mathbb{B}_{d}\backslash \sigma (S_{z_{1}}, \dots ,S_{z_{d}})\). From this, we have the following corollaries: (1) Let \(M\) be an invariant subspace of \(H^2_v\). Then \[ \bigcup_{f\in M^\perp} \
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Simultaneous Automorphisms in Spaces of Analytic Functions

Canadian Journal of Mathematics, 1963
Two spaces of analytic functions are considered, each comprised of functions analytic on the open disk NR(0) of radius R (0 < R < +∞ ) centred at the origin. The first space consists of all analytic functions on NR(0) topologized according to the metric of uniform convergence on compact sets.
Alexiewicz, A., Arsove, M. G.
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Extreme Points in Spaces of Analytic Functions

Canadian Journal of Mathematics, 1968
Our aim in this paper is to obtain some theorems concerning spaces of analytic functions on a finite open Riemann surface R which extend known results for the disc △ = {|z| < 1}. Suppose that R has a smooth boundary bR consisting of t closed curves, and that the interior genus of R is s. The first Betti number of R is then r = 2s + t — 1.
Gamelin, T. W., Voichick, M.
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Spaces of Analytic Functions

2019
In this chapter, we shall put a metric on the set of all analytic functions on a fixed region \(G\subset \mathbb {C},\) and “compactness”, “converge”, “normality”, “uniform continuity”, and “equicontinuity” in this metric space is discussed. We shall also discuss Hurwitz’s theorem, Montel’s theorem and among the applications obtained is a proof of the ...
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Approximation in spaces of analytic functions

Studia Mathematica, 2020
Summary: We give an elementary proof of the approximation theorem established by A. Matheson for analytic Lipschitz spaces \(\lambda_\alpha\). Our approach allows us to extend this theorem to \(\mathcal D_\omega\cap\lambda_\alpha\), where \(\mathcal D_\omega\) denotes superharmonically weighted Dirichlet spaces (including standard Dirichlet spaces). As
Idrissi, Hafid Bahajji-El, El-Fallah, Omar   +1 more
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SPECTRAL DECOMPOSITIONS IN SPACES OF ANALYTIC FUNCTIONALS

Mathematics of the USSR-Izvestiya, 1980
This article deals with spaces of entire vector-valued functions determined by families of radial majorants, and their dual spaces of analytic functionals. Spectral properties of generalized boundary value problems generated by the operator of multiplication by the independent variable are investigated. Bibliography: 64 titles.
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A Characterisation of Functions Computable in Polynomial Time and Space over the Reals with Discrete Ordinary Differential Equations: Simulation of Turing Machines with Analytic Discrete ODEs

International Symposium on Mathematical Foundations of Computer Science, 2023
Manon Blanc, Olivier Bournez
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Spaces of Entire Analytic Functions

1983
The Chapters 1 and 6 deal with analytic functions f(x), defined on the Euclidean n-space R n , in the framework of Fourier analysis. The basis is the Paley-Wiener-Schwartz theorem, which says that any tempered distribution f in R n , whose Fourier transform has compact support, is an analytic function (more precisely: entire analytic function of ...
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Operators on spaces of analytic functions

2021
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Characterization of Analytic Functions in Banach Spaces

The Annals of Mathematics, 1945
Not ...
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