A new geometrical perspective on Bohr-equivalence of exponential polynomials
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http://hdl.handle.net/10045/113215
| Title: | A new geometrical perspective on Bohr-equivalence of exponential polynomials |
|---|---|
| Authors: | Sepulcre, Juan Matias | Vidal, Tomás |
| Research Group/s: | Curvas Alpha-Densas. Análisis y Geometría Local |
| Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
| Keywords: | Exponential polynomials | Functions of a complex variable | Crystal-like structure | Bohr’s equivalence theorem | Bohr’s equivalence relation | Exponential sums |
| Knowledge Area: | Análisis Matemático |
| Issue Date: | 15-Feb-2021 |
| Publisher: | Springer Nature |
| Citation: | Analysis and Mathematical Physics. 2021, 11:55. https://doi.org/10.1007/s13324-021-00498-0 |
| Abstract: | Based on Bohr’s equivalence relation for general Dirichlet series, in this paper we connect the families of equivalent exponential polynomials with a geometrical point of view related to lines in crystal-like structures. In particular we characterize this equivalence relation, and give an alternative proof of Bochner’s property referring to these functions, through this new geometrical perspective. |
| Sponsor: | The first author’s research was partially supported by PGC2018-097960-B-C22 (MCIU/AEI/ERDF, UE). |
| URI: | http://hdl.handle.net/10045/113215 |
| ISSN: | 1664-2368 (Print) | 1664-235X (Online) |
| DOI: | 10.1007/s13324-021-00498-0 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Rights: | © The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature 2021 |
| Peer Review: | si |
| Publisher version: | https://doi.org/10.1007/s13324-021-00498-0 |
| Appears in Collections: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
 Sepulcre_Vidal_2021_AnalMathPhys_final.pdf | Versión final (acceso restringido) | 1,25 MB | Adobe PDF | Open Request a copy |
 Sepulcre_Vidal_2021_AnalMathPhys_preprint.pdf | Preprint (acceso abierto) | 597,45 kB | Adobe PDF | Open Preview |
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