Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 153, Pages 135–142 (Mi into369)  
On A Certain Class of Entire Functions

I. Kh. Musin

Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
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Abstract: In this paper, we examine the problem on the description in terms of the Laplace transform of functionals from the conjugate space for the Hilbert space of entire functions of $n$ variables constructed by a convex function in ${\mathbb C}^n$, which depends on the modules of variables and grows at infinity faster than $a\|z\|$ for any $a>0$.
Keywords: Hilbert space, Laplace transform, entire function, convex function, Young–Fenchel transform.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01661_а
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This work was supported by the Russian Foundation for Basic Research (project No. 15-01-01661) and the Program of the Presidium of the Russian Academy of Sciences (project “Complex Analysis and Functional Equations”).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 3, Pages 428–435
DOI: https://doi.org/10.1007/s10958-020-05170-9
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 32A15, 42B10, 46E10
Language: Russian
Citation: I. Kh. Musin, “On A Certain Class of Entire Functions”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153, VINITI, Moscow, 2018, 135–142; J. Math. Sci. (N. Y.), 252:3 (2021), 428–435
Citation in format AMSBIB
\Bibitem{Mus18}
\by I.~Kh.~Musin
\paper On A Certain Class of Entire Functions
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 153
\pages 135--142
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into369}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903397}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 3
\pages 428--435
\crossref{https://doi.org/10.1007/s10958-020-05170-9}
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