61 citations · 309 across the 28 of their papers we have counts for
7 papers · 1 filter
Gelfand triples for the Kohn-Nirenberg quantization on homogeneous Lie groups
Jonas Brinker, Jens Wirth
In this paper, we study the group Fourier transform and the Kohn-Nirenberg quantization for homogeneous Lie groups as mappings between certain Gelfand triples. For this, we restric…
Global functional calculus for operators on compact Lie groups
Michael Ruzhansky, Jens Wirth
In this paper we develop the functional calculus for elliptic operators on compact Lie groups without the assumption that the operator is a classical pseudo-differential operator.…
On multipliers on compact Lie groups
Michael Ruzhansky, Jens Wirth
In this note we announce Lp multiplier theorems for invariant and non-invariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on Rn and…
Lp Fourier multipliers on compact Lie groups
Michael Ruzhansky, Jens Wirth
In this paper we prove Lp multiplier theorems for invariant and non-invariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on Rn and it…
Hormander class of pseudo-differential operators on compact Lie groups and global hypoellipticity
Michael Ruzhansky, Ville Turunen, Jens Wirth
In this paper we give several global characterisations of the Hormander class of pseudo-differential operators on compact Lie groups. The result is applied to give criteria for the…
Diffusive wavelets on groups and homogeneous spaces
Svend Ebert, Jens Wirth
The aim of this exposition is to explain basic ideas behind the concept of diffusive wavelets on spheres in the language of representation theory of Lie groups and within the frame…