4 citations · 4 across the 4 of their papers we have counts for
4 papers
A Laurent expansion for regularised integrals of holomorphic symbols
Sylvie Paycha, Simon Scott
For a holomorphic family of classical pseudodifferential operators on a closed manifold we give exact formulae for all coefficients in the Laurent expansion of its Kontsevich-Vishi…
Zeta Determinants on Manifolds with Boundary
Simon Scott
We study the zeta determinant of global boundary problems of APS-type through a general theory for relative spectral invariants. In particular, we compute the zeta determinant for…
Zeta Forms and the Local Family Index Theorem
Simon Scott
For a smooth family F of admissible elliptic pseudodifferential operators with differential form coefficients associated to a geometric fibration of manifolds M--> B we show that t…
The Residue Determinant
Simon Scott
The purpose of this paper is to present the construction of a canonical determinant functional on elliptic pseudodifferential operators associated to the Guillemin-Wodzicki residue…