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出版商:
Springer
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出版日期:
2026-05-02
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售價:
$6,580
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貴賓價:
9.5 折
$6,251
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語言:
英文
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頁數:
343
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裝訂:
Hardcover - also called cloth, retail trade, or trade
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ISBN:
3032178290
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ISBN-13:
9783032178299
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相關分類:
離散數學 Discrete-mathematics
商品描述
Lie group representation theory and harmonic analysis on Lie groups and their homogeneous spaces form a significant area of mathematical research. Interest in these areas began soon after World War II and has gained much strength since then. These areas are interrelated with various other mathematical fields such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations, and mathematical physics. Keeping up with the fast development of this exciting area of research, Ali Baklouti (University of Sfax) and Takaaki Nomura (Kyushu University) launched a series of seminars on the topic. The main focus of these seminars was in the area of harmonic analysis, Lie theory, geometry and representation theory. Many experts from both countries have been involved in running this seminar and have contributed greatly to making seminars successful. This has been a major incentive for both Ali Baklouti and Hideyuki Ishi (Osaka University) to continue the organization of these meetings which aim at exploring topics such as commutative harmonic analysis (Fourier analysis on Euclidean spaces), analysis of homogeneous spaces, uncertainty principles, and geometric analysis and some of their interactions with operator algebras.
商品描述(中文翻譯)
李群表示理論及李群與其齊性空間上的調和分析構成了一個重要的數學研究領域。對這些領域的興趣始於第二次世界大戰後不久，並自那時以來逐漸增強。這些領域與數論、代數幾何、微分幾何、算子代數、偏微分方程及數學物理等多個其他數學領域相互關聯。為了跟上這個令人興奮的研究領域的快速發展，Ali Baklouti（斯法克斯大學）和野村隆明（九州大學）啟動了一系列有關該主題的研討會。這些研討會的主要焦點在於調和分析、李理論、幾何學和表示理論。來自兩國的許多專家參與了這些研討會的運行，並對研討會的成功做出了重大貢獻。這對於Ali Baklouti和石英之（大阪大學）來說，成為了繼續組織這些會議的主要動力，這些會議旨在探索如可交換調和分析（歐幾里得空間上的傅立葉分析）、齊性空間的分析、不確定性原理以及幾何分析及其與算子代數的一些相互作用等主題。
作者簡介
Ali Baklouti is a Full Professor of Mathematics at the University of Sfax, Tunisia. He received his Ph.D. in Mathematics from the University of Metz (France) in 1995. He was elected Vice-President of the University of Sfax in December 2020 and President of the Tunisian Mathematical Society for two consecutive terms (April 2016-March 2019 and April 2019-March 2022). Additionally, he has served as Deputy Director of the Mediterranean Institute of Mathematical Sciences since January 2012. He was also nominated as a permanent member of the Tunisian Academy of Sciences, Letters, and Arts in December 2016. He has authored two major books, which are becoming fundamental references in the field. His first book, "Representation Theory of Solvable Lie Groups and Related Topics," is written jointly with Jean Ludwig (University of Metz) and Hidenori Fujiwara (University of Kinki, Japan) and is now published in the Springer Verlag Monograph Series 2021, and a second single-authored book "Deformation theory of discontinuous groups" in De Gruyter Expositions in Mathematics series 2022. He is the co-editor-in-chief of the "Tunisian Journal of Mathematics" published by M.S.P. (Berkeley, USA), and is the Editor-in-Chief of the journal "Advances in Pure and Applied Mathematics" by ISTE (UK). He is the winner of the Prize Pacom 2022-Mathematics: Category A of the African Mathematical Union, and the recipient of the "Royal Society Africa Prize for 2024, the United Kingdom". Hideyuki ISHI is a full Professor of Mathematics at Osaka Metropolitan University. He received his doctor degree from Kyoto University in 2000 under the direction of Takaaki NOMURA. He was a research director at JST PRESTO from 2016 to 2020. Since 2023, he has been the Vice-Director of Osaka Central Advanced Mathematical Institute (OCAMI) at Osaka Metropolitan University. He is working on representation theory of Lie groups, analysis of several complex variables, mathematical statistics, and information geometry. He has published 45 original papers in peer-reviewed academic journals and proceedings. He has organized several domestic and international academic meetings and also has delivered a number of invited talks.
作者簡介(中文翻譯)
阿里·巴克盧提（Ali Baklouti）是突尼西亞斯法克斯大學的數學全職教授。他於1995年在法國梅斯大學獲得數學博士學位。2020年12月，他當選為斯法克斯大學的副校長，並連任突尼西亞數學學會會長兩屆（2016年4月至2019年3月及2019年4月至2022年3月）。此外，自2012年1月以來，他擔任地中海數學科學研究所的副所長。2016年12月，他還被提名為突尼西亞科學、文學與藝術學院的常任成員。
他著有兩本主要著作，這些著作正逐漸成為該領域的基本參考資料。他的第一本書《可解李群的表示理論及相關主題》是與梅斯大學的讓·路德維希（Jean Ludwig）和日本近畿大學的藤原秀則（Hidenori Fujiwara）共同撰寫的，並於2021年在施普林格出版社的專著系列中出版；第二本單著書籍《不連續群的變形理論》則於2022年在德古里特數學系列中出版。他是由M.S.P.（美國伯克利）出版的《突尼西亞數學期刊》的共同主編，並擔任ISTE（英國）出版的《純數學與應用數學進展》期刊的主編。他是2022年非洲數學聯盟的帕孔獎（Prize Pacom）數學類別A的獲獎者，並獲得2024年英國皇家學會非洲獎。
石井英之（Hideyuki ISHI）是大阪市立大學的數學全職教授。他於2000年在京都大學獲得博士學位，指導教授為野村隆明（Takaaki NOMURA）。他曾於2016年至2020年擔任JST PRESTO的研究主任。自2023年以來，他擔任大阪市立大學大阪中央高級數學研究所（OCAMI）的副所長。
他的研究領域包括李群的表示理論、多變數複分析、數學統計學和信息幾何。他在同行評審的學術期刊和會議論文集中發表了45篇原創論文。他組織了多場國內外學術會議，並進行了多次受邀演講。
