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Full-Text Articles in Physical Sciences and Mathematics
Damped Oscillatory Integrals And Weierstrass Polynomials, Azimbay Sadullaev, Isroil Ikromov, Shaxriddin Muranov
Damped Oscillatory Integrals And Weierstrass Polynomials, Azimbay Sadullaev, Isroil Ikromov, Shaxriddin Muranov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In this paper 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 3/2. A proof of the main theorem is based on Weierstrass type results.
Oscillatory Integrals And Weierstrass Polynomials, Azimbay Sadullaev, Isroil Ikromov
Oscillatory Integrals And Weierstrass Polynomials, Azimbay Sadullaev, Isroil Ikromov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In this work we consider some applications of the Weierstrass preparation theorem and Weierstrass pseudopolynomials to study of behavior of the oscillatory integrals and Fourier transforms with analytic and smooth phases with critical points.