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An Algorithm for Analytic Continuation

SIAM Journal on Numerical Analysis, 1966
Abstract : Let an analytic function f of a single complex variable be defined in a neighborhood of a point z sub 0 by means of its Taylor series at z sub 0. A constructive method is discussed for the solution of the following problem: Suppose it is known that the function f can be continued analytically into a domain of the complex plane. It is desired
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Analytic Continuation of Toeplitz Operators

The Journal of Geometric Analysis, 2014
Let \(f(z)=\sum_\nu f_\nu z^\nu\) be a holomorphic function on the unit ball \({\mathbb B}^n\) in \({\mathbb C}^n\). For \(\alpha\in{\mathbb R}\), \textit{R.-H. Zhao} and \textit{K. Zhu} [Mém. Soc. Math. Fr., Nouv. Sér. 115, 1--103 (2008; Zbl 1176.32001)] considered \(\|f\|_{\alpha,\#}^2:=\sum_\nu\frac{\nu!}{|\nu|!}\frac{|f_\nu|^2}{(|\nu|+1)^{\alpha+n}}
Bommier-Hato, H.   +2 more
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INVARIANT SUBSPACES OF ANALYTIC FUNCTIONS. ANALYTIC CONTINUATION

Mathematics of the USSR-Izvestiya, 1973
Let G be a region in the complex plane; let H be the space of functions analytic in G with the topology of uniform convergence on compacta of G; let W be a nontrivial invariant (with respect to differentiation) subspace in H which admits a spectral synthesis.
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On the Continuability of Multivalued Analytic Functions to an Analytic Subset

Functional Analysis and Its Applications, 2001
Let \(M\) be an analytic manifold and let \(\Sigma\) be an analytic subset of \(M\). Let \(b\in M\) and let \(f_b\) be a germ of an analytic function at \(b\) that can be continued analytically along any curve \(\gamma: [0,1]\to M\), \(\gamma(0) = b\), such that \(\gamma\) can intersect the set \(\Sigma\) at the initial instant only.
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A continuous dependence result in the analytic continuation problem

form, 1999
Summary: We study the following problem. Consider an open, bounded and connected set \(\Omega\) in \(\mathbb{R}^n\) and an open subset \(E\) in \(\Omega\). Knowing the values of an analytic function \(f\) on \(E\) we want to find its value on \(\Omega\). The problem is not well posed in the sense of Hadamard.
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ana_cont: Python package for analytic continuation

Computer Physics Communications, 2023
Josef Kaufmann, K Held
exaly  

Simultaneous Analytic Continuation

Journal of the London Mathematical Society, 1959
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ON A GENERALIZED ANALYTIC CONTINUATION

Mathematics of the USSR-Sbornik, 1968
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