Browsing by Subject "Dirichlet series"

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Convergence of series of simple partial fractions in Lp(R)

Kayumov I. (2011)

A necessary and sufficient condition for the series {equation presented}, to converge in Lp(R), p > 1, is obtained. © 2011 RAS(DoM) and LMS.
Integral bounds for simple partial fractions

Kayumov I. (2012)

For p ≥ 2 we obtain bounds for L p-norms of the Fourier transform of real parts of simple partial fractions. For even p our estimate is sharp. We also prove a new inequality for L p-norms of simple partial fractions which ...

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