Quantization on nilpotent lie groups

By: Veronique FischerContributor(s): Michael RuzhanskyMaterial type: TextTextSeries: Progress in Mathematics ; 314Publication details: Switzerland: Birkhauser, [c2016]Description: 557 pISBN: 9783319295572Subject(s): MathematicsLOC classification: QA387Online resources: Click here to access online
Contents:
1. Preliminaries on Lie groups 2. Quantization on compact Lie groups 3. Homogeneous Lie groups 4. Rockland operators and Sobolev spaces 5. Quantization on graded Lie groups 6. Pseudo-differential operators on the Heisenberg group
Summary: 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. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 6 QA387 (Browse shelf (Opens below)) Available Billno:IN 00319; Billdate: 2018-04-18 01126
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1. Preliminaries on Lie groups
2. Quantization on compact Lie groups
3. Homogeneous Lie groups
4. Rockland operators and Sobolev spaces
5. Quantization on graded Lie groups
6. Pseudo-differential operators on the Heisenberg group

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. --- summary provided by publisher

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