63 citations · 536 across the 43 of their papers we have counts for
46 papers
Weakly Parametric Pseudodifferential Calculus for Twisted -dynamical Systems
Gihyun Lee, Matthias Lesch
For a twisted -dynamical system over a unital -algebra we establish a weakly parametric pseudodifferential calculus analogously to the ce…
The product formula for regularized Fredholm determinants: two new proofs
Nikolaos Koutsonikos-Kouloumpis, Matthias Lesch
For an -summable operator in a separable Hilbert space the higher regularized Fredholm determinant generalizes the classical Fredholm determinant. Rec…
Zeta and Fredholm determinants of self-adjoint operators
Luiz Hartmann, Matthias Lesch
Let be a self-adjoint invertible operator in a Hilbert space such that is -summable. Under a certain discrete dimension spectrum assumption on , we study the rel…
Fredholm conditions and index for restrictions of invariant pseudodifferential operators to isotypical components
A. Baldare, R. Côme, M. Lesch +1
Let be a compact group acting on a smooth, compact manifold , let be a -invariant, classical pseudodifferential operator acting between sections…
Fredholm conditions for invariant operators: finite abelian groups and boundary value problems
Alexandre Baldare, Rémi Côme, Matthias Lesch +1
We answer the question of when an invariant pseudodifferential operator is Fredholm on a fixed, given isotypical component. More precisely, let be a compact group acting on a s…
The KO-valued spectral flow for skew-adjoint Fredholm operators
Chris Bourne, Alan L. Carey, Matthias Lesch +1
In this article we give a comprehensive treatment of a `Clifford module flow' along paths in the skew-adjoint Fredholm operators on a real Hilbert space that takes values in KO${}_…