Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...
In this paper, we show that if F ∈ Lp(k, α) on Γ where Γ denotes the border of a compact bordered Riemann surface R̄, then F can be uniquely written as the sum of a function in Hp(k, α) and a function ...
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