Traces and Determinants of Elliptic Pseudodiff Operators

Informationen zum Autor Dr. Scott obtained his D.Phil. from Oxford University in 1992. He went on to hold post doctoral positions in Oxford University, the Universidad de los Andes in Bogota, and then for two years at the research institute `SISSA' in Trieste, Italy. In 1998 he was appointed to the mathematics department at King's College London. Klappentext The text is on the traces and determinants of elliptic pseudo differential operators-an interesting and important topic in the field of geometric analysis. Aimed at graduates and researchers in mathematics and physics, the book covers the basics of the topic, advances and developments, and will also be of interest to those studying string theory and quantum field theory. Zusammenfassung This text is the first to deal with the general theory of traces and determinants of operators on manifolds in a broad context, encompassing a number of the principle applications and backed up by specific computations which set out in detail to newcomers the nuts-and-bolts of the basic theory. Inhaltsverzeichnis Introduction 1: Traces 2: Determinants 3: Computations, transition formulae, and the local index formula 4: Pseudodifferential operator trace formulae 5: Geometric families of pseudodifferential operators and determinant line bundles List of symbols References Index

Product details

• Authors: Simon Scott, Simon (King's College London Scott, Scott Simon
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 15.10.2008
• EAN: 9780198568360
• ISBN: 978-0-19-856836-0
• No. of pages: 256
• Series: Oxford Mathematical Monographs; Oxford Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; SCIENCE / Physics / Quantum Theory, MATHEMATICS / Geometry / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Topology, geometry, Topology, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory), Calculus & mathematical analysis, Calculus and mathematical analysis