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1. Joint Approximation of Analytic Functions by Shifts of Lerch Zeta-Functions.

Author

Laurinčikas, Antanas, Mikalauskaitė, Toma, and Šiaučiūnas, Darius

Subjects
*ARBITRARY constants, *SET functions, *ANALYTIC spaces, *FUNCTION spaces
Abstract

In this paper, we consider the simultaneous approximation of tuples of analytic functions by tuples of shifts of Lerch zeta-functions with arbitrary parameters. We prove that there exists a closed set of tuples of functions analytic in the right-hand side of the critical strip, which is approximated by the above tuples of shifts. Further, a generalization for some compositions of tuples of Lerch zeta-functions is given. [ABSTRACT FROM AUTHOR]

Published
2023
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