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A class of functional equations associated with almost periodic functions.
- Source :
- Aequationes Mathematicae; Feb2021, Vol. 95 Issue 1, p91-105, 15p
- Publication Year :
- 2021
-
Abstract
- In this paper we will get a class of functional equations involving a countable set of terms, summed by the well known Bochner–Fejér summation procedure, which are closely associated with the set of almost periodic functions. We will show that the zeros of a prefixed almost periodic function determine analytic solutions of such a functional equation associated with it, and we will obtain other solutions which are analytic or meromorphic on a certain domain. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00019054
- Volume :
- 95
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Aequationes Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 148629611
- Full Text :
- https://doi.org/10.1007/s00010-020-00732-3