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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 60, Pages 49–58
(Mi znsl2069)
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This article is cited in 2 scientific papers (total in 2 papers)
On an approximative version of the notion of constructive analytic function
E. Ya. Dantsin
Abstract:
A constructive analytic function f is defined as a pair of form $(A,\Omega)$, where $A$ is a fundamental sequence in some constructive metric space and $\Omega$ is a regulator of its convergence into itself. The pointwise-defined function $f$ corresponding to function $f^*$ turns out to be Bishop-differentiable [2], while the domain of $f^*$ is the limit of a growing sequence of compacta. The derivative of a constructive analytic function and the integral along a curve are defined approximatively. It is proved that the fundamental theorems of constructive complex analysis are valid for such functions. Eight items of literature are cited.
Citation:
E. Ya. Dantsin, “On an approximative version of the notion of constructive analytic function”, Studies in constructive mathematics and mathematical logic. Part VII, Zap. Nauchn. Sem. LOMI, 60, "Nauka", Leningrad. Otdel., Leningrad, 1976, 49–58; J. Soviet Math., 14:6 (1980), 1457–1463
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https://www.mathnet.ru/eng/znsl2069 https://www.mathnet.ru/eng/znsl/v60/p49
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Abstract page: | 129 | Full-text PDF : | 43 |
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