3 papers
math.FA2024
Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions
Eva-Maria Hekkelman, Edward McDonald, Teun D. H. van Nuland
We push the definition of multiple operator integrals (MOIs) into the realm of unbounded operators, using the pseudodifferential calculus from the works of Connes and Moscovici, Hi…
math-ph2023
The basic resolvents of position and momentum operators form a total set in the resolvent algebra
Detlev Buchholz, Teun D. H. van Nuland
Let Q and P be the position and momentum operators of a particle in one dimension. It is shown that all compact operators can be approximated in norm by linear combinations of the…
math.OA2023
Local invariants of conformally deformed non-commutative tori II: multiple operator integrals
Teun D. H. van Nuland, Fedor Sukochev, Dmitriy Zanin
We explicitly compute the local invariants (heat kernel coefficients) of a conformally deformed non-commutative -torus using multiple operator integrals. We derive a recursive f…