Browsing Mathematics, Statistics & Physics by Subject "Fourier transform"
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Certain estimates of oscillatory integrals and extrapolation
(2010 , Article)In this paper we study the boundedness properties of certain oscillatory integrals with polynomial phase. We obtain sharp estimates for these oscillatory integrals. By the virtue of these estimates and extrapolation we ... -
On certain estimates of rough oscillatory singular integrals
(2011 , Article)We obtain appropriate sharp estimates for rough oscillatory integrals with polynomial phase. Our results represent significant improvements as well as natural extensions of what was known previously.