Showing 2022Show all
2 papers · 1 filter
math.AP2022
Global pseudo-differential operators on the Lie group
Duván Cardona, Roland Duduchava, Arne Hendrickx +1
In this work we characterise the Hörmander classes $\symbClassOn{m}ρδ{\group,\textnormal{Hör}}$ on the open manifold $\group = (-1,1)^n$. We show that by endowing the open manifold…
math-ph2022
Convolution equations on the Lie group (-1,1)
Roland Duduchava
The interval turns into an Abelian group $\cA(\cJ)$ under the group operation $x+_\cJ y:=(x+y)(1+xy)^{-1},\qquad x,y\in\cJ$. This enables definition of the invariant mea…