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Titlebook: Harmonic Analysis on Exponential Solvable Lie Groups; Hidenori Fujiwara,Jean Ludwig Book 2015 Springer Japan 2015 Exponential solvable Lie

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发表于 2025-3-21 16:25:23 | 显示全部楼层 |阅读模式
书目名称Harmonic Analysis on Exponential Solvable Lie Groups
编辑Hidenori Fujiwara,Jean Ludwig
视频videohttp://file.papertrans.cn/425/424279/424279.mp4
概述Explains topics that have been actively studied in the non-commutative harmonic analysis of solvable Lie groups.Gives the classical standard results with proof related to the so-called orbit method.Pr
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Harmonic Analysis on Exponential Solvable Lie Groups;  Hidenori Fujiwara,Jean Ludwig Book 2015 Springer Japan 2015 Exponential solvable Lie
描述.This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers..The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobeniusreciprocity, and associated algebras of invariant differential operators..The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a deta
出版日期Book 2015
关键词Exponential solvable Lie group; Induced representation; Nilpotent Lie group; Orbit method; Restriction o
版次1
doihttps://doi.org/10.1007/978-4-431-55288-8
isbn_softcover978-4-431-56390-7
isbn_ebook978-4-431-55288-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Japan 2015
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发表于 2025-3-21 23:09:23 | 显示全部楼层
Book 2015resting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers..The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. Thi
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发表于 2025-3-22 08:12:11 | 显示全部楼层
ressing large-scale open distributed platforms like the World-Wide Web. The 17 revised full papers presented were selected from a total of 51 submissions; they are organized in sections on epistemological and ontological issues, frameworks and architectures, interaction and coordination, emergence, and task-specific analysis.
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发表于 2025-3-22 15:36:55 | 显示全部楼层
Hidenori Fujiwara,Jean Ludwige about the multiple views of the studied scene, in order to automatically detect salient or hidden objects of interest. Tests on standard datasets demonstrated the efficiency and accuracy of our proposed approach.
发表于 2025-3-22 20:08:49 | 显示全部楼层
Hidenori Fujiwara,Jean Ludwignd discussed. Sentence reduction is performed by removing specific sentential constructions conveying information that can be considered to be less relevant to the general message of the summary. Thus, the rationale is that sentence reduction not only removes expendable information, but also makes room for further relevant data in a summary.
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发表于 2025-3-23 02:15:12 | 显示全部楼层
Hidenori Fujiwara,Jean Ludwig-driven, action selection method for planning in (PO)MDP’s. This method introduces a reward bonus and a rollout policy for MCTS planners, both of which depend almost exclusively on a clear specification of the goal and produced promising results when planning in large domains of interest to cognitive and mobile robotics.
发表于 2025-3-23 08:56:32 | 显示全部楼层
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