The Wigner global wave front set in spaces of tempered ultradistributions
The Wigner global wave front set in spaces of tempered ultradistributions
Abstract In this paper we introduce and study global wave front sets in terms of the $$\tau $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>τ</mml:mi> </mml:math> -Wigner transform in global ultradifferentiable classes of Beurling type modulated with weight functions in the sense of Braun, Meise, and Taylor, and we compare it with other wave …