Ma'lumot

ESTIMATES FOR CONVOLUTION OPERATORS RELATED TO HYPERBOLIC EQUATIONS

D.I Akramova, I.I Akramov, I.A.Ikromov


In this paper we consider estimates for order of amplitude function of convolution

kernel. The convolution operator is considered in the paper appear in the Cauchy problem for strongly

hyperbolic equations. We give solutions of some problems posed by M.Sugimoto. Our results are based

on estimates for oscillatory integrals with phase having A type singularities



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