Today the regular Institute seminar was held. In the seminar of the Institute of Mathematics and Mechanics of ANAS the lead researcher of the department “Function Theory” Rashid Avazaga oglu Aliev gave a talk “On approximations of the Hilbert transform”.

The report was discussed the properties of the Hilbert transform and its discrete analogue and approximations of the Hilbert transform in the space of functions integrable to the p-th degree will be given. It is shown that the approximating operators preserve the basic properties of the Hilbert transform, and this allows us to obtain more accurate results in terms of convergence.

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