Geodesic
An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons
Electronic transactions on numerical analysis, Tome 14 (2002), pp. 45-55
This article presents a new algorithm for nonharmonic signal analysis using Dirichlet series e$\lambda z$ f (z) = $\kappa f (\lambda )$ , z $\in D$ L $(\lambda ) \lambda \in \Lambda $on a convex polygon D as a generalization of Fourier series. Here L denotes a quasipolynomial whose set of zeros $\Lambda $generates a Riesz basis $E(\Lambda )$ := e$\lambda z$ of the Smirnov space $E2(D)$. The algorithm is based on a simple L $(\lambda ) \lambda \in \Lambda $form of L and on numerical properties of the dual basis of E $(\Lambda )$.
Classification : 42C15, 30B50, 37M10
Keywords: nonharmonic Fourier series, Dirichlet series, signal analysis, time series analysis 
@article{ETNA_2002__14__a9,
     author = {Forster,  Brigitte},
     title = {An algorithm for nonharmonic signal analysis using {Dirichlet} series on convex polygons},
     journal = {Electronic transactions on numerical analysis},
     pages = {45--55},
     year = {2002},
     volume = {14},
     zbl = {1020.94003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2002__14__a9/}
}
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Forster,  Brigitte. An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons. Electronic transactions on numerical analysis, Tome 14 (2002), pp. 45-55. http://geodesic.mathdoc.fr/item/ETNA_2002__14__a9/