110 citations · 366 across the 43 of their papers we have counts for
5 papers · 1 filter
Spectral Theory in a Twisted Groupoid Setting: Spectral Decompositions, Localization and Fredholmness
Marius Mantoiu, Victor Nistor
We study bounded operators defined in terms of the regular representations of the -algebra of an amenable, Hausdorff, second countable locally compact groupoid endowed with a…
C*-Algebraic Spectral Sets, Twisted Groupoids and Operators
M. Mantoiu
We treat spectral problems by twisted groupoid methods. To Hausdorff locally compact groupoids endowed with a continuous -cocycle one associates the reduced twisted groupoid $C^…
Localization and Non-propagation in a Groupoid Framework
M. Mantoiu
Normal elements (or multipliers) of the C* algebra of a certain class of locally compact groupoids admit a natural faithful representation as normal operators on the -space of…
Quantum observables as magnetic pseudodifferential operators
Viorel Iftimie, Radu Purice, Marius Mantoiu
In a series of papers we have argued that the 'basic' physical procedure of minimal coupling giving the quantum description of a Hamiltonian system interacting with a magnetic fiel…
Global and Concrete Quantizations on General Type I Groups
M. Mantoiu, M. Sandoval
In recent papers and books, a global quantization has been developed for unimodular groups of type I. It involves operator-valued symbols defined on the product between the group $…