Email this article Estimates of Oscillatory Integrals with a Damping Factor
- Authors: Ikromov I.A.1, Muranov S.A.2
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Affiliations:
- Samarkand State University
- Alisher Navoi Samarkand State University
- Issue: Vol 104, No 1-2 (2018)
- Pages: 218-230
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151198
- DOI: https://doi.org/10.1134/S0001434618070234
- ID: 151198
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Abstract
Estimates of the Fourier transform of measures concentrated on analytic hypersurfaces containing a damping factor are considered. The solution of the Sogge and Stein problem on the optimal decrease of the Fourier transform of measures with a damping factor for the particular class of analytic surfaces of three-dimensional space is given.
About the authors
I. A. Ikromov
Samarkand State University
Author for correspondence.
Email: ikromov1@rambler.ru
Uzbekistan, Samarkand, 140104
Sh. A. Muranov
Alisher Navoi Samarkand State University
Email: ikromov1@rambler.ru
Uzbekistan, Samarkand, 703004
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