Quantization on Nilpotent Lie Groups
by Veronique Fischer, Michael Ruzhansky
DescriptionDetailsHashtagsReport an issue
The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize. 
Book Description
This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups.The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.
This open book is licensed under a Creative Commons License (CC BY). You can download Quantization on Nilpotent Lie Groups ebook for free in PDF format (5.4 MB).
Book Details
Title
Quantization on Nilpotent Lie Groups
Subject
Science and Mathematics
Publisher
Birkhäuser
Published
2016
Pages
568
Edition
1
Language
English
ISBN13
9783319295572
ISBN10
3319295578
ISBN13 Digital
9783319295589
ISBN10 Digital
3319295586
PDF Size
5.4 MB
License
Related Books
This book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rel...
This book presents the findings from on-site research into radioactive cesium contamination in various agricultural systems affected by the Fukushima Daiichi Nuclear Power Plant accident in March 2011. This third volume in the series reports on studies undertaken at contaminated sites such as farmland, forests, and marine and freshwater environment...
This book reports the results from on-site research into radioactive cesium contamination in various agricultural systems affected by the Fukushima Daiichi Nuclear Power Plant accident that occurred in March 2011. This is the second volume from the research groups formed in the Graduate School of Agricultural and Life Sciences of The University of ...
and reports on research carried out as part of the European Union co-funded C.O.N.T.A.C.T. project which targeted hate speech and hate crime across a number of EU member states. It showcases the bearing that discourse analytic research can have on our understanding of this phenomenon that is a growing global cause for concern. Although 'ha...
This book investigates how trade unions representing different social classes use YouTube videos for renewal purposes. Information and communication technology has undoubtedly offered new opportunities for social movements, but while research suggests that these new means of communication can be used for trade union revitalization, few studies hav...
The result of a workshop bringing together an international advisory board of experts in science, satellite technologies, industry innovations, and public policy, this book addresses the current and future roles of satellite Earth observations in solving large-scale environmental problems. The book showcases the results of engaging distinct communi...