The Continuity of Certain Functions Defined by Oscillatory Integrals

Document Type

Article

Publication Date

12-1-1994

Abstract

The continuity with respect to a non-constant, polynomial P of degree k of finite part oscillatory integrals of the kind [formula omitted] is established for functions K(x) homogeneous of degree - n that satisfy [formula omitted] for some p > 1. Boundedness results easily follow when the extra condition [formula omitted] is satisfied. © 1994, Taylor & Francis Group, LLC. All rights reserved.

Publication Source (Journal or Book title)

Applicable Analysis

First Page

177

Last Page

184

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