arXiv Analytics

Sign in

arXiv:0911.1867 [math.FA]AbstractReferencesReviewsResources

Wave-front sets of Banach function types

Sandro Coriasco, Karoline Johansson, Joachim Toft

Published 2009-11-10Version 1

We introduce the wave-front set for distributions with respect to Fourier images of weighted translation invariant Banach function spaces. We prove that usual mapping properties for pseudo-differential operators hold in the context of such wave-front sets.

Related articles:
arXiv:1003.1281 [math.FA] (Published 2010-03-05)
Association between temperate distributions and analytical functions in the context of wave-front sets
arXiv:2206.14090 [math.FA] (Published 2022-06-28)
A Fuglede type theorem for Fourier multiplier operators
arXiv:1605.06910 [math.FA] (Published 2016-05-23)
Ultradifferentiable functions of class $M_p^{\t,\s}$ and microlocal regularity