Stochastic partial differential equations in banach spaces, II

SIGLEAvailable from TIB Hannover: RO5073(507) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

Stochastic in partial differential equations in M-type 2 Banach spaces

SIGLEAvailable from TIB Hannover: RO 5073(508) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

Oscillatory integrals on Hilbert spaces and Schroedinger equation with magnetic fields

We extend the theory of oscillatory integrals on Hilbert spaces (the mathematical version of ''Feynman path integrals'') to cover more general integrable functions, preserving the property of the integrals to have converging finite dimensional approximations. We give an application to the representation of solutions of the time dependent Schroedinger equation with a scalar and a magnetic potential by oscillatory integrals on Hilbert spaces. A relation with Ramer's functional in the corresponding probabilistic setting is found. (orig.)Available from TIB Hannover: RO 5073(616) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

The trace formula for Schroedinger operators from infinite dimensional oscillatory integrals

We apply the theory of infinite dimensional oscillatory integrals by finite dimensional approximations to provide more information on the trace formula for Schroedinger operators. In particular we compute explicitly contributions for constant and non constant periodic orbits, for potentials which are quadratic plus a bounded nonlinear part. We handle the heat semigroup as well as the Schroedinger group and show in particular the independence of the singular support on the bounded part of the potential. (orig.)Available from TIB Hannover: RO 5073(538) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman