Abstract
The object under study of this paper is the class \(\mathcal{A}(\mathbb{T}_{n})\) of functions holomorphic in the torus \(\mathbb{T}_{n}\) 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 \(\mathcal{A}(\mathbb{T}_{n})\).
Mathematics Subject Classification (2010). Primary 32A22, 32A15
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Maergoiz, L.S. (2016). Laplace–Borel Transformation of Functions Holomorphic in the Torus and Equivalent to Entire Functions. In: Ruzhansky, M., Tikhonov, S. (eds) Methods of Fourier Analysis and Approximation Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27466-9_13
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DOI: https://doi.org/10.1007/978-3-319-27466-9_13
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