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ON THE APPROXIMATIONS TO ANALYTIC FUNCTIONS
1994Summary: We prove a theorem which shows that the uniqueness problem for entire functions of exponential type is equivalent to the approximation problem for analytic functions. This theorem is then combined with theorems on uniqueness to produce a number of results on the approximation of analytic functions.
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Iteration of Analytic Functions
The Annals of Mathematics, 1942La solution formelle de l'equation de Schröder \(\varphi(a_1x)=f(\varphi(x))\) converge si \(\log |a_1^n-1|=O(\log n)\) pour \(n\to\infty\) où \(f(z)=a_1z+\dots\).
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On the Modulii of Analytic Functions
Canadian Mathematical Bulletin, 1970The problem to be considered in this note, in its most concrete form, is the determination of all quartets f1, f2, g1, g2 of functions analytic on some domain and satisfying*where p > 0. When p = 2 the question can be reformulated in terms of finding a necessary and sufficient condition for (two-dimensional) Hilbert space valued analytic functions ...
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Canadian Mathematical Bulletin, 1996
AbstractA sieve lemma is found, applicable to certain families of analytic functions on the unit disk, analogous to a large sieve lemma of P. X. Gallagher for sets of integers.
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AbstractA sieve lemma is found, applicable to certain families of analytic functions on the unit disk, analogous to a large sieve lemma of P. X. Gallagher for sets of integers.
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Convergence generated by analytic functionals, and isomorphism of algebras of analytic functions
Ukrainian Mathematical Journal, 1989See the review in Zbl 0663.46038.
Petunin, Yu. I., Savkin, V. I.
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Analytics of trigger functions
Automatic Control and Computer Sciences, 2009The construction and analysis of trigger circuits as asynchronous elements of sequential logic are considered. The study is performed for a generalized model based on a trigger function, which is represented in analytical form and structured so as to ensure the possibility of constructing trigger circuits with preset characteristics.
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Analytic Functions Related to a Balloon-Shaped Domain
Fractal and Fractional, 2023Saqib Hussain +2 more
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Riemann Problem of (λ, k) Bi-Analytic Functions
Applicable Analysis, 2022Yongzhi Steve Xu, Juan Lin
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Analytic Functions and Nash Functions Along Curves
Selecta Mathematica, New Series, 2023Wojciech Kucharz, Krzysztof Kurdyka
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