Today, at the institute seminar the leading research associate of “Functions Theory” department, cand. of phys. math. sci. Rashid Avazaga oglu Aliyev gave a talk “On properties of Hilbert transforms”. The talk deals with properties of Hilbert transform of finite complex measure. Asymptotic equalities for distribution function of Hilbert transform of finite complex measure were given and the Riesz equality is represented by using the generalization of the Lebesgue integral, the Q-integral notion.
Some properties of Hilbert transform are given. Using the generalized summation notion, the summation formula for discrete Hilbert transform of sequences in class is given.

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