Marcinkiewicz integral operators constitute a central class of singular integral operators in modern harmonic analysis. These operators, defined through oscillatory integrals with rough kernels, play ...
Interpolation and extrapolation of stationary stochastic processes has been extensively studied by Kolmogorov, Wiener and Masani, Krein and many others. Rozanov [3] has formulated many of their ...
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 ...