Abstract
I begin with some classical motivational results:
Proposition 8.1 (F. and M. Riesz; cf. Koosis, 1980, pp. 40–47/100–102) Let F be a spectral distribution which is of bounded variation on To. Let rk denote the kth trigonometric moment of the measure dF, i.e.,
.
If \(\sum \limits_{k-1}^{\infty} |r_k| < \infty\), then F is absolutely continuous.
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© 1983 Springer-Verlag New York Inc.
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Britton, W. (1983). Numerical asymptotics. In: Conjugate Duality and the Exponential Fourier Spectrum. Lecture Notes in Statistics, vol 18. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5528-4_8
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DOI: https://doi.org/10.1007/978-1-4612-5528-4_8
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