Scalar oscillatory integrals on smooth spaces of homogeneous type

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• Philip Gressman (University of Pennsylvania)
• Wednesday 20 March 2013, 16:00-17:00
• R17/18 Watson.

If you have a question about this talk, please contact Neal Bez.

We consider a generalization of the notion of spaces of homogeneous type, inspired by recent work of Street on the multi-parameter Carnot-Caratheodory geometry, which imbues such spaces with differentiability structure. The setting allows one to formulate estimates for scalar oscillatory integrals on these spaces which are uniform and respect the underlying geometry of both the space and the phase function. As a corollary we obtain a generalization of a theorem of Bruna, Nagel, and Wainger on the asymptotic behavior of scalar oscillatory integrals with smooth, convex phase of finite type.

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Analysis seminar
• R17/18 Watson
• School of Mathematics events

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