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math.CA2002
Estimates for Oscillatory Integral Operators
Vyacheslav S. Rychkov
This thesis is devoted to asymptotic norm estimates for oscillatory integral operators acting on the L^2 space of functions of one real variable. The operators in question have com…
math.CA1999
Sharp L^2 bounds for oscillatory integral operators with C^\infty phases
Vyacheslav Rychkov
Let T be an oscillatory integral operator on L^2(R) with a smooth real phase function S(x,y). We prove that, in all cases but the one described below, after localization to a small…