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- W1995628412 abstract "Abstract An oscillatory integral of the form naturally defines a distribution provided that φ is a phase function and a is a symbol in Hormander's symbol class. In this paper extending this result to the case of Gevrey class we show that the above oscillatory integral defines a Gevrey ultradistribution provided that φ is a Gevrey phase function and a is a symbol in Gevrey symbol class of infinite order. We also prove the singular support theorem and the singular spectrum theorem which are important in application Keywords: oscillatory integralGevrey classultradistributionsGevrey symbolsstationary phase methodMSC(2000): 46F0535S0535S30 *Partially supported by KOSEF 971-0102-012-1 *Partially supported by KOSEF 971-0102-012-1 Notes *Partially supported by KOSEF 971-0102-012-1" @default.
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- W1995628412 date "2001-08-01" @default.
- W1995628412 modified "2023-10-16" @default.
- W1995628412 title "Oscillatory Integrals As Ultradistributions<sup>*</sup>" @default.
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- W1995628412 doi "https://doi.org/10.1080/10652460108819332" @default.
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