13 citations · 21 across the 5 of their papers we have counts for
9 papers
Besov and Triebel-Lizorkin spaces on homogeneous groups
Guorong Hu, David Rottensteiner, Michael Ruzhansky +1
This paper develops a theory of Besov spaces and Triebel-Lizorkin spaces on an arbitrary homogeneous group for the…
Weyl Calculus on Graded Groups
Serena Federico, David Rottensteiner, Michael Ruzhansky
The aim of this paper is to establish a pseudo-differential Weyl calculus on graded nilpotent Lie groups which extends the celebrated Weyl calculus on . To reach…
An Update On The - Norms of Spectral Multipliers on Unimodular Lie Groups
David Rottensteiner, Michael Ruzhansky
This note gives a wide-ranging update on the multiplier theorems by Akylzhanov and the second author [J. Funct. Anal., 278 (2020), 108324]. The proofs of the latter crucially rely…
The Harmonic Oscillator on the Heisenberg Group
David Rottensteiner, Michael Ruzhansky
In this note we present a notion of harmonic oscillator on the Heisenberg group which forms the natural analogue of the harmonic oscillator on under a…
Balian-Low type theorems on homogeneous groups
Karlheinz Gröchenig, José Luis Romero, David Rottensteiner +1
We prove strict necessary density conditions for coherent frames and Riesz sequences on homogeneous groups. Let be a connected, simply connected nilpotent Lie group with a dila…
Harmonic and Anharmonic Oscillators on the Heisenberg Group
David Rottensteiner, Michael Ruzhansky
Although there is no canonical version of the harmonic oscillator on the Heisenberg group so far, we make a strong case for a particular choice of operator by using…