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http://dx.doi.org/10.5831/HMJ.2011.33.1.001

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)
Publication Information
Honam Mathematical Journal / v.33, no.1, 2011 , pp. 1-9 More about this Journal
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.
Keywords
oscillatory integral; homogeneous phase; spherical Newton distance;
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