On the Result of Invariance of the Closure Set of the Real Projections of the Zeros of an Important Class of Exponential Polynomials
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10045/55505
Title: | On the Result of Invariance of the Closure Set of the Real Projections of the Zeros of an Important Class of Exponential Polynomials |
---|---|
Authors: | Sepulcre, Juan Matias |
Research Group/s: | Curvas Alpha-Densas. Análisis y Geometría Local |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
Keywords: | Exponential Polynomials | Kronecker’s theorem | Zeros of entire functions |
Knowledge Area: | Análisis Matemático |
Issue Date: | 2016 |
Publisher: | Hindawi Publishing Corporation |
Citation: | Journal of Function Spaces. Volume 2016 (2016), Article ID 3605690, 9 pages. doi:10.1155/2016/3605690 |
Abstract: | In this paper we provide the proof of a practical point-wise characterization of the set RP defined by the closure set of the real projections of the zeros of an exponential polynomial P(z) = Σn j=1 cjewjz with real frequencies wj linearly independent over the rationals. As a consequence, we give a complete description of the set RP and prove its invariance with respect to the moduli of the c′ js, which allows us to determine exactly the gaps of RP and the extremes of the critical interval of P(z) by solving inequations with positive real numbers. Finally, we analyse the converse of this result of invariance. |
Sponsor: | The research was partially supported by Generalitat Valenciana under Project GV/2015/035. |
URI: | http://hdl.handle.net/10045/55505 |
ISSN: | 2314-8896 (Print) | 2314-8888 (Online) |
DOI: | 10.1155/2016/3605690 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © 2016 J. M. Sepulcre. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1155/2016/3605690 |
Appears in Collections: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2016_Sepulcre_JournalofFunctionSpaces.pdf | 2,4 MB | Adobe PDF | Open Preview | |
This item is licensed under a Creative Commons License