Limits in the application of harmonic analysis to pulsating stars

DOI: 
10.1051/0004-6361/201425596
Publication date: 
01/09/2015
Main author: 
Pascual-Granado J.
IAA authors: 
Pascual-Granado J.;Garrido R.;Suárez J.C.
Authors: 
Pascual-Granado J., Garrido R., Suárez J.C.
Journal: 
Astronomy and Astrophysics
Publication type: 
Article
Volume: 
581
Pages: 
Number: 
A89
Abstract: 
Using ultra-precise data from space instrumentation, we found that the underlying functions of stellar light curves from some AF pulsating stars are non-analytic, and consequently their Fourier expansion is not guaranteed. This result demonstrates that periodograms do not provide a mathematically consistent estimator of the frequency content for this type of variable stars. More importantly, this constitutes the first counterexample against the current paradigm, which considers that any physical process is described by a continuous (band-limited) function that is infinitely differentiable. © 2015 ESO.
Database: 
WOK
SCOPUS
ADS
SCOPUS
URL: 
https://ui.adsabs.harvard.edu/#abs/2015A&A...581A..89P/abstract
ADS Bibcode: 
2015A&A...581A..89P
Keywords: 
Asteroseismology; Methods: data analysis; Stars: oscillations