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Quantization on Nilpotent Lie Groups
Veronique Fischer
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Description for Quantization on Nilpotent Lie Groups
Hardback. Series: Progress in Mathematics. Num Pages: 557 pages, 1 colour illustrations, biography. BIC Classification: PBG; PBKD; PBKF; PHU. Category: (G) General (US: Trade). Dimension: 167 x 241 x 41. Weight in Grams: 1008.
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 ... Read more
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 ... Read more
Product Details
Publisher
Birkhäuser
Format
Hardback
Publication date
2016
Series
Progress in Mathematics
Condition
New
Weight
1008 g
Number of Pages
557
Place of Publication
Basel, Switzerland
ISBN
9783319295572
SKU
V9783319295572
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Veronique Fischer
Veronique Fischer is a Senior Lecturer in Analysis at the University of Bath. Michael Ruzhansky is a Professor of Pure Mathematics at Imperial College London. The research of this monograph was supported by the EPSRC Grant EP/K039407/1 when ... Read more
Reviews for Quantization on Nilpotent Lie Groups
The main topic of this prize-winning monograph is the development of a pseudo-differential calculus on homogeneous Lie groups-the nilpotent Lie group equipped with a family of dilations compatible with the group structure. ... It is really surprising that in spite of its great length and complicated subject, this book is very accessible. (Antoni Wawrzynczyk, Mathematical Reviews, April, 2017) ... Read more