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Titlebook: Quantization on Nilpotent Lie Groups; Veronique Fischer,Michael Ruzhansky Book‘‘‘‘‘‘‘‘ 2016 The Editor(s) (if applicable) and the Author(s

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发表于 2025-3-21 18:09:19 | 显示全部楼层 |阅读模式
书目名称Quantization on Nilpotent Lie Groups
编辑Veronique Fischer,Michael Ruzhansky
视频video
概述First Open Access book in the Birkhäuser program.Contains a detailed and easy-to-follow exposition of nilpotent and homogeneous Lie groups and of homogeneous operators on such groups.Features a consis
丛书名称Progress in Mathematics
图书封面Titlebook: Quantization on Nilpotent Lie Groups;  Veronique Fischer,Michael Ruzhansky Book‘‘‘‘‘‘‘‘ 2016 The Editor(s) (if applicable) and the Author(s
描述.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..
出版日期Book‘‘‘‘‘‘‘‘ 2016
关键词graded Lie groups; Heisenberg group; compact Lie groups; pseudo-differential operators; Sobolev spaces; s
版次1
doihttps://doi.org/10.1007/978-3-319-29558-9
isbn_softcover978-3-319-80599-3
isbn_ebook978-3-319-29558-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightThe Editor(s) (if applicable) and the Author(s) 2016
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发表于 2025-3-21 20:16:36 | 显示全部楼层
Quantization on graded Lie groups, their fractional powers and their associated Sobolev spaces studied in Chapter 4. As we have pointed out in the introduction, the graded Lie groups then become the natural setting for such analysis in the context of general nilpotent Lie groups.
发表于 2025-3-22 04:23:03 | 显示全部楼层
Pseudo-differential operators on the Heisenberg group, the Heisenberg group and of its many realisations, we start this chapter by sketching various descriptions of the Heisenberg group. We also describe its dual via the well known Schrödinger representations. Eventually, we particularise our general approach given in Chapter 5 to the Heisenberg group.
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发表于 2025-3-22 14:49:19 | 显示全部楼层
978-3-319-80599-3The Editor(s) (if applicable) and the Author(s) 2016
发表于 2025-3-22 17:34:41 | 显示全部楼层
Quantization on Nilpotent Lie Groups978-3-319-29558-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
发表于 2025-3-23 01:02:54 | 显示全部楼层
发表于 2025-3-23 02:45:10 | 显示全部楼层
Homogeneous Lie groups, latter setting are usually more singular than their Euclidean counterparts. However it is possible to adapt the technique in harmonic analysis to still treat many questions in this more abstract setting
发表于 2025-3-23 07:38:10 | 显示全部楼层
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