Singular Bilinear Integrals

The integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for bilinear integration in cases where the classical approach does not apply.

Contents:Introduction;Decoupled Bilinear Integration;Operator Traces;Stochastic Integration;Scattering Theory;Random Evolutions;CLR Inequality;Operator Equations;
Readership: Researchers in measure and integration, functional analysis, operator theory, harmonic analysis, mathematical physics and stochastic processes.
Vector Measure, Bilinear Integral, Operator Trace, Scattering Theory, Semiclassical Approximation0