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 ...
This paper considers the performance of Lagrange polynomial interpolation and extrapolation of randomly sampled bandlimited functions and processes; the sampling instants $\{t_n \}$ belong to a broad ...
Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...
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