The weekly Wednesday seminar on February 8, 2017, 10.00 a.m., will present a report by leading scientific researcher of the department “Theory of functions” Rashid Avazaga oglu Aliev. Topic: On properties of Hilbert transform “.
The report is devoted to the properties of Hilbert transform of finite complex measures. In the report, the asymptotic behavior of the distribution function of the Hilbert transform of the finite complex measure is given and using the notion of Q-integration, the analogue of Riesz’s equality is shown. In the report, some properties of discrete Hilbert transform are also noted. Using the concept of generalized summability of the series, it will be shown the summability formula for the discrete Hilbert transform of the sequences from the class l₁.