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Weierstrass Polynomials in Estimates of Oscillatory Integrals.
- Source :
-
Journal of Mathematical Sciences . Jan2024, Vol. 278 Issue 3, p439-462. 24p. - Publication Year :
- 2024
-
Abstract
- In this paper, estimates are obtained for the Fourier transform of smooth charges (measures) concentrated on some nonconvex hypersurfaces. The summability of the maximal Randall function is proved for a wide class of nonconvex hypersurfaces. In addition, in the three-dimensional case, estimates are obtained depending on the Varchenko height. The accuracy of the obtained estimates is proved. The proof of the estimate for oscillatory integrals is based on the Weierstrass preparatory theorem. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAXIMAL functions
*INTEGRALS
*FOURIER transforms
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 278
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 175234351
- Full Text :
- https://doi.org/10.1007/s10958-024-06932-5