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Infinite Dimensional Harmonic Analysis III

Author: Herbert Heyer

Publisher: World Scientific Publishing Company

Published: 2005

Total Pages: 400

ISBN-13:

This volume contains contributions on recent results in infinite dimensional harmonic analysis and its applications to probability theory. Some papers deal with purely analytic topics such as Frobenius reciprocity, diffeomorphism groups, equivariant fibrations and Harish-Chandra modules. Several other papers touch upon stochastic processes, in particular Lévy processes. The majority of the contributions emphasize on the algebraic-topological aspects of the theory by choosing configuration spaces, locally compact groups and hypergroups as their basic structures. The volume provides a useful survey of innovative work pertaining to a highly actual section of modern analysis in its pure and applied shapings.

Infinite Dimensional Harmonic Analysis Iii - Proceedings Of The Third German-japanese Symposium

Author: Kimiaki Saito

Publisher: World Scientific

Published: 2005-11-09

Total Pages: 368

ISBN-13: 9814478997

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Infinite dimensional harmonic analysis

Author: Herbert Heyer

Publisher:

Published: 1996

Total Pages: 294

ISBN-13:

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Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV

Author: Joachim Hilgert

Publisher: World Scientific

Published: 2009

Total Pages: 337

ISBN-13: 9812832815

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The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.

Infinite Dimensional Harmonic Analysis IV

Author:

Publisher:

Published:

Total Pages:

ISBN-13: 9814470449

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Noncommutative Mathematics for Quantum Systems

Author: Uwe Franz

Publisher: Cambridge University Press

Published: 2016-01-07

Total Pages: 200

ISBN-13: 1316674045

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Noncommutative mathematics is a significant new trend of mathematics. Initially motivated by the development of quantum physics, the idea of 'making theory noncommutative' has been extended to many areas of pure and applied mathematics. This book is divided into two parts. The first part provides an introduction to quantum probability, focusing on the notion of independence in quantum probability and on the theory of quantum stochastic processes with independent and stationary increments. The second part provides an introduction to quantum dynamical systems, discussing analogies with fundamental problems studied in classical dynamics. The desire to build an extension of the classical theory provides new, original ways to understand well-known 'commutative' results. On the other hand the richness of the quantum mathematical world presents completely novel phenomena, never encountered in the classical setting. This book will be useful to students and researchers in noncommutative probability, mathematical physics and operator algebras.

Stochastic Processes, Physics and Geometry: New Interplays. I

Author: Sergio Albeverio

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 348

ISBN-13: 9780821819593

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This volume and "IStochastic Processes, Physics and Geometry: New Interplays II" present state-of-the-art research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by internationally recognized experts in the fields of stochastic analysis, linear and nonlinear (deterministic and stochastic) PDEs, infinite dimensional analysis, functional analysis, commutative and noncommutative probability theory, integrable systems, quantum and statistical mechanics, geometric quantization, and neural networks. Also included are applications in biology and other areas. Most of the contributions are high-level research papers. However, there are also some overviews on topics of general interest. The articles selected for publication in these volumes were specifically chosen to introduce readers to advanced topics, to emphasize interdisciplinary connections, and to stress future research directions. Volume I contains contributions from invited speakers; Volume II contains additional contributed papers. Members of the Canadian Mathematical Society may order at the AMS member price.