Seminars: Sh. A. Muranov, Damped oscillatory integrals and Weierstrass polynomials

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) September 10, 2020 12:00, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Damped oscillatory integrals and Weierstrass polynomials Sh. A. Muranov A. Navoi Samarkand State University
Abstract: We consider the Sogge-Stein problem related to the damped oscillatory integrals. We show that in three-dimensional Euclidean spaces minimal exponent, which guarantees optimal decaying of the Fourier transform of the surfaces-carried measures with mitigating factor is bounded by $\frac{3}{2}$. A proof of the main theorem is based on Weierstrass type results. Website: https://us02web.zoom.us/j/84574793587