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math.CA2021
Bernstein spaces, sampling, and Riesz-Boas interpolation formulas in Mellin Analysis
Isaac Z. Pesenson
The goal of the paper is to consider Bernstein-Mellin subspaces in the Lebesgue-Mellin spaces and establishing for functions in these subspaces new sampling theorems and Riesz-Boas…
math.CA2021
Sampling and interpolation for the discrete Hilbert and Kak-Hilbert transforms
Isaac Pesenson
The goal of the paper is to obtain analogs of the sampling theorems and of the Riesz-Boas interpolation formulas which are relevant to the Discrete Hilbert and Kak-Hilbert transfor…