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
✦ LIBER ✦
On Abel-Tauber Theorems for Fourier Cosine Transforms
✍ Scribed by A. Inoue
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 345 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0022-247X
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