# SPHERICAL NEWTON DISTANCE FOR OSCILLATORY INTEGRALS WITH HOMOGENEOUS PHASE FUNCTIONS

• Jo, Gyu-Dong (Department of Mathematics, Korea University) ;
• Lee, Sang-Hyun (Department of Mathematics, Korea University) ;
• Ryu, Chul-Woo (Department of Mathematics, Korea University) ;
• Suh, Young-Cha (Department of Mathematics, Korea University)
• Received : 2010.04.07
• Accepted : 2011.03.06
• Published : 2011.03.25
• 106 23

#### Abstract

In this paper we study oscillatory integrals with analytic homogeneous phase functions for smooth radial functions. We give their sharp asymptotic behavior in terms of spherical Newton distance.

#### References

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