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Invariant Estimates of Two-Dimensional Oscillatory Integrals

Akbar R. SafarovSamarkand State University, Samarkand, 140104, Uzbekistan
Mathematical Notesjournal2018es
ABI

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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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