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On the Result of Invariance of the Closure Set of the Real Projections of the Zeros of an Important Class of Exponential Polynomials
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We provide the proof of a practical pointwise characterization of the set RP defined by the closure set of the real projections of the zeros of an exponential polynomial P(z)=∑j=1ncjewjz 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 cj′s, 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.
American Psychological Association (APA)
Sepulcre, J. M.. 2016. On the Result of Invariance of the Closure Set of the Real Projections of the Zeros of an Important Class of Exponential Polynomials. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1108592
Modern Language Association (MLA)
Sepulcre, J. M.. On the Result of Invariance of the Closure Set of the Real Projections of the Zeros of an Important Class of Exponential Polynomials. Journal of Function Spaces No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1108592
American Medical Association (AMA)
Sepulcre, J. M.. On the Result of Invariance of the Closure Set of the Real Projections of the Zeros of an Important Class of Exponential Polynomials. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1108592
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108592