# ESI Lectures in Mathematics and Physics

ESI Lectures in Mathematics and Physics

The *Erwin Schrödinger International Institute for Mathematics and Physics* (ESI) is a meeting place for leading experts in mathematical physics and mathematics, nurturing the development and exchange of ideas in the international community, particularly stimulating intellectual exchange between scientists from Eastern Europe and the rest of the world.

The purpose of the series *ESI Lectures in Mathematics and Physics* is to make selected texts arising from its research programme better known to a wider community and easily available to a worldwide audience. It publishes lecture notes of courses given by internationally renowned experts on highly active research topics. In order to make the series attractive to graduate students as well as researchers, special emphasis is given to concise and lively presentations with a level and focus appropriate to a student's background and at prices commensurate with a student's means.
Edited by: Christoph Dellago and Ilaria Perugia (Universität Wien)

**Published in this series:**

A. L. Onishchik: Lectures on Real Semisimple Lie Algebras and Their Representations W. Ballmann: Lectures on Kähler Manifolds Ch. Bär, N. Ginoux, F. Pfäffle: Wave Equations on Lorentzian Manifolds and Quantization D. V. Alekseevsky, H. Baum (Eds): Recent Developments in Pseudo-Riemannian Geometry G. Gallavotti, W. L. Reiter, J. Yngvason (Eds): Boltzmann’s Legacy H. Ringström: The Cauchy Problem in General Relativity E. J. Straube: Lectures on the ℒ²-Sobolev Theory of the ∂-bar-Neumann problem A. L. Carey (Ed.): Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory W. L. Reiter, J. Yngvason (Eds): Erwin Schrödinger – 50 Years After Ch. Gérard: Microlocal Analysis of Quantum Fields on Curved Spacetimes