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Fejér type theorems for Fourier-Stieltjes series

✍ Scribed by Ferenc Móricz


Book ID
111570797
Publisher
Springer
Year
2004
Tongue
English
Weight
165 KB
Volume
30
Category
Article
ISSN
0133-3852

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📜 SIMILAR VOLUMES


Abel–Tauber Theorems for Fourier–Stieltj
✍ A Inoue 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 242 KB

We prove Abel᎐Tauber theorems which link the asymptotics of a function and its Fourier᎐Stieltjes coefficients under a weak Tauberian condition. Both cosine and sine coefficients are studied. The results in the cosine case can be applied to stationary time series with long-time memory. The analogues