3 papers
math.FA2022
Higher-order spectral shift function for resolvent comparable perturbations
Teun D. H. van Nuland, Anna Skripka
Given a pair of self-adjoint operators and such that is bounded and belongs to the Schatten-von Neumann ideal , , of op…
hep-th2022
Cyclic cocycles and one-loop corrections in the spectral action
Teun D. H. van Nuland, Walter D. van Suijlekom
We present an intelligible review of recent results concerning cyclic cocycles in the spectral action and one-loop quantization. We show that the spectral action, when perturbed by…
math-ph2020
Classical and quantised resolvent algebras for the cylinder
Teun van Nuland, Ruben Stienstra
Buchholz and Grundling (Comm. Math. Phys., 272, 699--750, 2007) introduced a C-algebra called the resolvent algebra as a canonical quantisation of a symplectic vector space,…