Limits in the application of harmonic analysis to pulsating stars

被引：8
|
作者：
Pascual-Granado, J. [1 ]
Garrido, R. [1 ]
Suarez, J. C. [1 ,2 ]
机构：
[1] Inst Astrofis Andalucia CSIC, Granada 18008, Spain
[2] Univ Granada, Dept Fis Teor & Cosmos, E-18071 Granada, Spain
来源：
ASTRONOMY & ASTROPHYSICS | 2015年 / 581卷
关键词：
asteroseismology; methods: data analysis; stars: oscillations; SERIES; IDENTIFICATION;
D O I：
10.1051/0004-6361/201425596
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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.
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页数：9
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