Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4

Published 12 May 2022 in math-ph and math.MP | (2205.06224v1)

Abstract: In this paper we consider the uniform estimates for oscillatory integrals with a two-order homogeneous polynomial phase. The estimate is sharp and the result is an analogue of the more general theorem of V. N. Karpushkin \cite{Karpushkin1983} for sufficiently smooth functions.

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