Potential Theory And Geometry On Lie Groups
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Potential Theory and Geometry on Lie Groups
Author: N. Th. Varopoulos
language: en
Publisher: Cambridge University Press
Release Date: 2020-10-22
Complete account of a new classification of connected Lie groups in two classes, including open problems to motivate further study.
Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
Author: Andrea Bonfiglioli
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-08-24
This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessible to graduate students and requires no specialized knowledge in algebra or differential geometry.
Representations of Nilpotent Lie Groups and their Applications: Volume 1, Part 1, Basic Theory and Examples
Author: Laurence Corwin
language: en
Publisher: Cambridge University Press
Release Date: 2004-06-03
There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1958, and consolidating more recent results. Topics covered include basic Kirillov theory, algorithms for parametrizing all coadjoint orbits. The authors have not only given here a modern account of all topics necessary for current research, but have also included many computed examples. This volume can serve then either as a handbook for specialists, with a complete, self-contained exposition of major results, or as a textbook suitable for graduate courses in harmonic analysis.