RESOLUTION FO SINGULARITY AND OSCILLATORY INTEGRAL(I)
Citation:
Chen Tianping(陈天平),Zhang Dezhi(张德志).RESOLUTION FO SINGULARITY AND OSCILLATORY INTEGRAL(I)[J].Chinese Annals of Mathematics B,1992,13(3):289~297
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Authors:
Chen Tianping(陈天平); Zhang Dezhi(张德志)
Abstract:
Oscillatory integral such as $\[\int\limits_{{B^2}} {{e^{itf(x)}}g(x)dx} \]$ is studied and asymptotic behavior of the oscillatory integral is obtained.The phase f(x) is analytic and has only isolated critical point in B^2,while g(x) is smooth and compactly supported in B^2.