| Title |
Joint approximation of analytic functions by shifts of Lerch zeta-functions / |
| Authors |
Laurinčikas, Antanas ; Mikalauskaitė, Toma ; Šiaučiūnas, Darius |
| DOI |
10.3390/math11030752 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2023, vol. 11, iss. 3, art. no. 752, p. [1-12].. eISSN 2227-7390 |
| Keywords [eng] |
Lerch zeta-function ; space of analytic functions ; approximation of analytic functions ; weak convergence |
| Abstract [eng] |
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. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
