Imperial College London

ProfessorMichaelRuzhansky

Faculty of Natural SciencesDepartment of Mathematics

Visiting Professor
 
 
 
//

Contact

 

+44 (0)20 7594 8500m.ruzhansky Website CV

 
 
//

Location

 

615Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Mantoiu:2017,
author = {Mantoiu, M and Ruzhansky, M},
journal = {Documenta Mathematica},
pages = {1539--1592},
title = {Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups},
url = {http://hdl.handle.net/10044/1/55288},
volume = {22},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - Let G be a unimodular type I second countable locally compactgroup and let Gb be its unitary dual. We introduce and study a globalpseudo-differential calculus for operator-valued symbols defined on G × Gb ,and its relations to suitably defined Wigner transforms and Weyl systems.We also unveil its connections with crossed products C∗-algebras associatedto certain C∗-dynamical systems, and apply it to the spectral analysisof covariant families of operators. Applications are given to nilpotentLie groups, in which case we relate quantizations with operator-valued andscalar-valued symbols.
AU - Mantoiu,M
AU - Ruzhansky,M
EP - 1592
PY - 2017///
SN - 1431-0635
SP - 1539
TI - Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups
T2 - Documenta Mathematica
UR - http://hdl.handle.net/10044/1/55288
VL - 22
ER -