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math.AP2021
A new microlocal analysis of hyperfunctions
Gustavo Hoepfner, Luis F. Ragognette
In this work we study microlocal regularity of hyperfunctions defining in this context a class of generalized FBI transforms first introduced for distributions by Berhanu and Houni…
math.AP2019
The Baouendi-Treves approximation Theorem for Gevrey classes and applications
Gustavo Hoepfner, Renan D. Medrado, Luis F. Ragognette
In this work we show how to extend the seminal Baouendi-Treves approximation theorem for Gevrey functions and ultradistributions. As applications we present a Gevrey version of the…
math.AP2017★ 1 cited
Pseudodifferential Operators, Rellich-Kondrachov Theorem and Hardy-Sobolev Spaces
G. Hoepfner, R. Kapp, T. Picon
We will present versions of the Rellich-Kondrachov theorem for pseudo-differential operators acting on localizable Hardy spaces. One of the techniques includes boundedness properti…