Email this article Invariant Estimates of Two-Dimensional Oscillatory Integrals
- Authors: Safarov A.R.1
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Affiliations:
- Samarkand State University
- Issue: Vol 104, No 1-2 (2018)
- Pages: 293-302
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151271
- DOI: https://doi.org/10.1134/S0001434618070301
- ID: 151271
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Abstract
Invariant estimates of oscillatory integrals with polynomial phase are studied. The main result is a theorem on uniform invariant estimates of trigonometric integrals. The obtained estimates improve Popov’s well-known results on invariant estimates of trigonometric integrals in the case where the phase function is a third-degree polynomial.
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About the authors
A. R. Safarov
Samarkand State University
Author for correspondence.
Email: safarov-akbar@mail.ru
Uzbekistan, Samarkand, 140104
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