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5. Ten Papers Translated from the Russian

Author

M. B. Abalovich, D. S. Dzhumabaev, V. Z. Feĭnberg, V. Fleischer, S. S. Goncharov, B. N. Khabibullin, M. G. Kreĭn, N Yu Krupnik, B. Ya. Levin, L. V. Nosov, E. G. Nosova, A. A. Nudel′man, E. B. Rabinovich, G. I. Russu, V. Yu. Sazonov, D. I. Sviridenko, M. B. Abalovich, D. S. Dzhumabaev, V. Z. Feĭnberg, V. Fleischer, S. S. Goncharov, B. N. Khabibullin, M. G. Kreĭn, N Yu Krupnik, B. Ya. Levin, L. V. Nosov, E. G. Nosova, A. A. Nudel′man, E. B. Rabinovich, G. I. Russu, V. Yu. Sazonov, and D. I. Sviridenko

Subjects
Mathematics
Abstract

Topics include nonclassical logic, entire functions, operator algebras, and the theory of programming.

Published
2016

7. [Untitled]

Author

B. N. Khabibullin

Subjects
Discrete mathematics, Pure mathematics, General Mathematics, Regular polygon, Exponent, Holomorphic function, Convex set, Convex body, Interval (mathematics), Subderivative, Completeness (statistics), Mathematics
Abstract

A sufficient condition for the stability of completeness of systems of exponentials \(\{ {\text{exp }}\lambda _n z\} \) with exponent shifts λn in spaces of functions continuous onb and holomorphic inside a compact convex set ⊂ℂ with nonempty interior is obtained. This condition is a generalization of an important special case of the corresponding result for the closed interval due to Redheffer and Alexander.

Published
2002
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9. Closed Submodules of Holomorphic Functions with Two Generators.

Author

B. N. Khabibullin

Abstract

Let > be a closed submodule over a polynomial ring in a space of holomorphic functions on a domain in the complex plane. We establish sufficient conditions under which > is generated by two functions or two special submodules. As a corollary, it follows from these results that if an invariant subspace W\subset C^{\infty}(a,b)> (with respect to the differentiation operator) admits spectral synthesis, then it is the solution space of a system of two homogeneous convolution equations. [ABSTRACT FROM AUTHOR]

Published
2004

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