Uniform estimates for oscillatory integrals with smooth phase
Isroil A. IkromovV. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan (Tashkent, Uzbekistan), Samarkand State University (Samarkand, Uzbekistan)Akbar Rakhmanovich SafarovV. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan (Tashkent, Uzbekistan), Samarkand State University (Samarkand, Uzbekistan)
ABI
Аннотация
We consider the problem on uniform estimates for an oscillatory integrals with the smooth phase functions having singularities 𝐷_∞. The estimate is sharp and analogy to estimates of the work of V.N.Karpushkin.
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