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Seminar of Laboratory of Theory of Functions "Modern Problems of Complex Analysis"
September 10, 2020 12:00–13:00
 


Damped oscillatory integrals and Weierstrass polynomials

Sh. A. Muranov

A. Navoi Samarkand State University

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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

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