Abstract
Oscillatory integral of the form ε e i(x·u+tP(x)) ∝(x)dx is discussed in this paper; type of critical point of a polynomial is introduced; asymptotic behaviour of the oscillatory integral is given; finally, a restriction theorem of Fourier Transform on algebraic hypersurface (x1, x2, ..., x n , P(x)) is obtained as an application.
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References
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© 1991 Springer-Verlag
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Tian-Ping, C., De-Zhi, Z. (1991). Oscillatory integral with polynomial phase. In: Cheng, MT., Deng, DG., Zhou, XW. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087754
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DOI: https://doi.org/10.1007/BFb0087754
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