References: The continuity of certain functions defined by oscillatory integrals

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Estrda , R. , Kanwal , R. P. and Kanwal , R. P. 1983 . Generalized Functions: Theory and Technique , New york : Academic Press .
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Stein , F. M. 1986 . “ Osciliatory integrals in Fourier Analysis ” . In Bejing Lectures in Harmonic Analysis. Ann. Math. Stud. , Vol. 112 , Princeton University Press .
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Stein , E. M. and Wainger , S. 1970 . The estimation of an integral arising in multiplier transformations . Studia Math. , 35 : 101 – 104 .
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