Maximum modulus function of derivatives of entire functions defined by Dirichlet series
Consider the space of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable. Continuing further, for the given space the characterization of bounded linear transformations in terms of matrix and characterization of linear functional has been obtained.
Multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems are obtained.