Laplace-Borel Transformation of Functions Holomorphic in the Torus and Equivalent to Entire Functions
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URI (for links/citations):
https://elib.sfu-kras.ru/handle/2311/33162Date:
2016Journal Name:
The monograph “Methods of Fourier Analysis and Approximation Theory”. Editors M. Ruzhansky, S. Tikhonov. Birkhauser, Springer International Publishing Switzerland 2016Journal Quartile in Scopus:
Q4Bibliographic Citation:
Maergoiz, L. S. Laplace-Borel Transformation of Functions Holomorphic in the Torus and Equivalent to Entire Functions [Текст] / L. S. Maergoiz, Л. С. Маергойз // The monograph “Methods of Fourier Analysis and Approximation Theory”. Editors M. Ruzhansky, S. Tikhonov. Birkhauser, Springer International Publishing Switzerland 2016: Applied and Numerical Harmonic Analysis. — 2016. — С. 195-209Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.
Abstract:
The object under study of this paper is the class of functions holomorphic in the manydimensional torus and equivalent to entire functions. We present an approach to constructing some growth theory of this class with the use of the growth theory of entire functions of several variables. This approach is illustrated by investigations of Laplace--Borel transformation of functions of
the mentioned class.