Japanese Journal of Mathematics最新文献

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A survey on topological properties of P(K) spaces P(K) 空间拓扑特性概览
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2024-08-29 DOI: 10.1007/s11537-024-2410-y
Grzegorz Plebanek
{"title":"A survey on topological properties of P(K) spaces","authors":"Grzegorz Plebanek","doi":"10.1007/s11537-024-2410-y","DOIUrl":"https://doi.org/10.1007/s11537-024-2410-y","url":null,"abstract":"<p>Given a compact space <i>K</i>, we denote by <i>P</i>(<i>K</i>) the space of all Radon probability measures on <i>K</i>, equipped with the <i>weak*</i> topology inherited from <i>C</i>(<i>K</i>)*. For nonmetrizable compacta <i>K</i> even basic properties of <i>P</i>(<i>K</i>) spaces depend of additional axioms of set theory. We discuss here older and quite recent results on the subject.</p>","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"38 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142193008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Connes–Kasparov isomorphism, II 论康纳斯-卡斯帕罗夫同构,II
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2024-04-01 DOI: 10.1007/s11537-024-2221-1
{"title":"On the Connes–Kasparov isomorphism, II","authors":"","doi":"10.1007/s11537-024-2221-1","DOIUrl":"https://doi.org/10.1007/s11537-024-2221-1","url":null,"abstract":"<h3>Abstract</h3> <p>This is the second of two papers dedicated to the computation of the reduced C*-algebra of a connected, linear, real reductive group up to C*-algebraic Morita equivalence, and the verification of the Connes–Kasparov conjecture in operator K-theory for these groups. In Part I we presented the Morita equivalence and the Connes–Kasparov morphism. In this part we shall compute the morphism using David Vogan’s description of the tempered dual. In fact we shall go further by giving a complete representation-theoretic description and parametrization, in Vogan’s terms, of the essential components of the tempered dual, which carry the <em>K</em>-theory of the tempered dual.</p>","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"34 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140126403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Whittaker Plancherel theorem 惠特克-普朗切尔定理
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2024-02-09 DOI: 10.1007/s11537-023-2230-5
{"title":"The Whittaker Plancherel theorem","authors":"","doi":"10.1007/s11537-023-2230-5","DOIUrl":"https://doi.org/10.1007/s11537-023-2230-5","url":null,"abstract":"<h3>Abstract</h3> <p>The purpose of this article is to give an exposition of a proof of the distributional form of the Whittaker Plancherel Theorem. The proof is an application of Harish-Chandra’s Plancherel Theorem for real reductive groups and its exposition can be used as an introduction to Harish-Chandra’s Plancherel Theorem. The paper follows the basic method in the author’s original approach in his second volume on real reductive groups. An error in the calculation of the Whittaker Transform of a Harish-Chandra wave packet is fixed using a result of Raphaël Beuzart-Plessis.</p>","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"19 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140008957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Connes–Kasparov isomorphism, I 关于康涅斯-卡斯帕罗夫同构,I
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2024-02-09 DOI: 10.1007/s11537-024-2220-2
Pierre Clare, Nigel Higson, Yanli Song, Xiang Tang
{"title":"On the Connes–Kasparov isomorphism, I","authors":"Pierre Clare, Nigel Higson, Yanli Song, Xiang Tang","doi":"10.1007/s11537-024-2220-2","DOIUrl":"https://doi.org/10.1007/s11537-024-2220-2","url":null,"abstract":"<p>This is the first of two papers dedicated to the detailed determination of the reduced C*-algebra of a connected, linear, real reductive group up to Morita equivalence, and a new and very explicit proof of the Connes–Kasparov conjecture for these groups using representation theory. In this part we shall give details of the C*-algebraic Morita equivalence and then explain how the Connes–Kasparov morphism in operator <i>K</i>-theory may be computed using what we call the Matching Theorem, which is a purely representation-theoretic result. We shall prove our Matching Theorem in the sequel, and indeed go further by giving a simple, direct construction of the components of the tempered dual that have non-trivial <i>K</i>-theory using David Vogan’s approach to the classification of the tempered dual.</p>","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"36 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140126638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Old and new challenges in Hadamard spaces Hadamard空间的新旧挑战
3区 数学
Japanese Journal of Mathematics Pub Date : 2023-09-01 DOI: 10.1007/s11537-023-1826-0
Miroslav Bačák
{"title":"Old and new challenges in Hadamard spaces","authors":"Miroslav Bačák","doi":"10.1007/s11537-023-1826-0","DOIUrl":"https://doi.org/10.1007/s11537-023-1826-0","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135641266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Three examples of residual pathologies 残留病变的三个例子
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1007/s11537-023-2041-8
M. Ghisi, Massimo Gobbino
{"title":"Three examples of residual pathologies","authors":"M. Ghisi, Massimo Gobbino","doi":"10.1007/s11537-023-2041-8","DOIUrl":"https://doi.org/10.1007/s11537-023-2041-8","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"18 1","pages":"67-113"},"PeriodicalIF":1.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45725395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The structure of metahamiltonian groups 元哈密顿群的结构
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2023-01-26 DOI: 10.1007/s11537-023-2216-3
Mattia Brescia, M. Ferrara, M. Trombetti
{"title":"The structure of metahamiltonian groups","authors":"Mattia Brescia, M. Ferrara, M. Trombetti","doi":"10.1007/s11537-023-2216-3","DOIUrl":"https://doi.org/10.1007/s11537-023-2216-3","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"1 1","pages":"1-65"},"PeriodicalIF":1.5,"publicationDate":"2023-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42497929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Orbifolds of lattice vertex algebras 点阵顶点代数的轨道
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2022-10-21 DOI: 10.1007/s11537-023-2249-7
B. Bakalov, Jason Elsinger, V. Kac, Ivan Todorov
{"title":"Orbifolds of lattice vertex algebras","authors":"B. Bakalov, Jason Elsinger, V. Kac, Ivan Todorov","doi":"10.1007/s11537-023-2249-7","DOIUrl":"https://doi.org/10.1007/s11537-023-2249-7","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"18 1","pages":"169-274"},"PeriodicalIF":1.5,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44967257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Lax operators 关于Lax算子
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2021-12-10 DOI: 10.1007/s11537-021-2134-1
Alberto De Sole, Victor G. Kac, Daniele Valeri
{"title":"On Lax operators","authors":"Alberto De Sole, Victor G. Kac, Daniele Valeri","doi":"10.1007/s11537-021-2134-1","DOIUrl":"https://doi.org/10.1007/s11537-021-2134-1","url":null,"abstract":"<p>We define a Lax operator as a monic pseudodifferential operator <i>L</i>(∂) of order <i>N</i> ≥ 1, such that the Lax equations <span>(frac{partial L(partial)}{partial t_k}=[(L^frac{k}{N}(partial))_+,L(partial)])</span> are consistent and non-zero for infinitely many positive integers <i>k</i>. Consistency of an equation means that its flow is defined by an evolutionary vector field. In the present paper we demonstrate that the traditional theory of the KP and the <i>N</i>-th KdV hierarchies holds for arbitrary scalar Lax operators.</p>","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"62 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138537778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Borsuk’s partition conjecture Borsuk分割猜想
IF 1.5 3区 数学
Japanese Journal of Mathematics Pub Date : 2021-07-21 DOI: 10.1007/s11537-021-2007-7
C. Zong
{"title":"Borsuk’s partition conjecture","authors":"C. Zong","doi":"10.1007/s11537-021-2007-7","DOIUrl":"https://doi.org/10.1007/s11537-021-2007-7","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":"16 1","pages":"185 - 201"},"PeriodicalIF":1.5,"publicationDate":"2021-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11537-021-2007-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48914646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
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