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 Izv. Akad. Nauk SSSR Ser. Mat., 1976, Volume 40, Issue 1, Pages 115–132 (Mi izv2099)

On a uniqueness theorem in the theory of functions of several complex variables, and homogeneous equations of convolution type in tube domains of $\mathbf C^n$

V. V. Napalkov

Abstract: In this paper, we prove a uniqueness theorem which enables us in particular to show that every solution of a homogeneous equation of convolution type in tube domains in $\mathbf C^n$ can be approximated by linear combinations of solutions of the equation which are exponential polynomials.
Bibliography: 9 titles.

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English version:
Mathematics of the USSR-Izvestiya, 1976, 10:1, 111–126

Bibliographic databases:

UDC: 517.5
MSC: Primary 32A07; Secondary 45E10, 44A35

Citation: V. V. Napalkov, “On a uniqueness theorem in the theory of functions of several complex variables, and homogeneous equations of convolution type in tube domains of $\mathbf C^n$”, Izv. Akad. Nauk SSSR Ser. Mat., 40:1 (1976), 115–132; Math. USSR-Izv., 10:1 (1976), 111–126

Citation in format AMSBIB
\Bibitem{Nap76} \by V.~V.~Napalkov \paper On a~uniqueness theorem in the theory of functions of several complex variables, and homogeneous equations of convolution type in tube domains of~$\mathbf C^n$ \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1976 \vol 40 \issue 1 \pages 115--132 \mathnet{http://mi.mathnet.ru/izv2099} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=412457} \zmath{https://zbmath.org/?q=an:0331.32014} \transl \jour Math. USSR-Izv. \yr 1976 \vol 10 \issue 1 \pages 111--126 \crossref{https://doi.org/10.1070/IM1976v010n01ABEH001681} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. V. Napalkov, “On solutions of equations of infinite order in the real domain”, Math. USSR-Sb., 31:4 (1977), 445–455
2. V. V. Napalkov, “On a property of analytic continuation”, Math. USSR-Izv., 14:2 (1980), 339–343
3. I. F. Krasichkov-Ternovskii, “Spectral synthesis of analytic functions on systems of convex domains”, Math. USSR-Sb., 39:1 (1981), 1–35
4. Ragnar Sigurdsson, “Convolution equations in domains ofC n ”, Ark Mat, 29:1-2 (1991), 285
5. A. S. Krivosheev, “On indicators of entire functions and extension of solutions of a homogeneous convolution equation”, Russian Acad. Sci. Sb. Math., 79:2 (1994), 401–423
6. I. F. Krasichkov-Ternovskii, “Spectral synthesis and local description for several variables”, Izv. Math., 63:4 (1999), 729–755
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