Pub Date : 2023-07-04DOI: 10.1142/s0129167x23500660
Trinh Tung
{"title":"Some results on the comparison principle for the weighted log canonical thresholds","authors":"Trinh Tung","doi":"10.1142/s0129167x23500660","DOIUrl":"https://doi.org/10.1142/s0129167x23500660","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47034379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-29DOI: 10.1142/s0129167x23500878
Akihiro Miyagawa
In this note, we prove strong convergence of $q$-Gaussians with respect to a parameter $q$, which implies the spectrum of any self-adjoint non-commutative polynomial in $q$-Gaussians is continuously deformed with respect to $q$. With Bo.{z}ejko's Haagerup-type inequality, we follow Brannan's approach to proving the asymptotic strong convergence of the free orthogonal quantum group.
{"title":"A Short Note on Strong Convergence of q-Gaussians","authors":"Akihiro Miyagawa","doi":"10.1142/s0129167x23500878","DOIUrl":"https://doi.org/10.1142/s0129167x23500878","url":null,"abstract":"In this note, we prove strong convergence of $q$-Gaussians with respect to a parameter $q$, which implies the spectrum of any self-adjoint non-commutative polynomial in $q$-Gaussians is continuously deformed with respect to $q$. With Bo.{z}ejko's Haagerup-type inequality, we follow Brannan's approach to proving the asymptotic strong convergence of the free orthogonal quantum group.","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45411401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-27DOI: 10.1142/s0129167x23500726
V'ictor P'erez-Vald'es
We construct and give a complete classification of all the differential symmetry breaking operators D_{{lambda},{nu}}^m : C^infty(S^3, V^3_{lambda}) rightarrow C^infty(S^2,L_{m,{nu}}), between the spaces of smooth sections of a vector bundle of rank 3 over the 3-sphere V^3_{lambda} rightarrow S^3, and a line bundle over the 2-sphere L_{m,{nu}} rightarrow S^2. In particular, we give necessary and sufficient conditions on the tuple of parameters ({lambda}, {nu}, m) for which these operators exist.
{"title":"Conformally covariant differential symmetry breaking operators for a vector bundle of rank 3 on S3","authors":"V'ictor P'erez-Vald'es","doi":"10.1142/s0129167x23500726","DOIUrl":"https://doi.org/10.1142/s0129167x23500726","url":null,"abstract":"We construct and give a complete classification of all the differential symmetry breaking operators D_{{lambda},{nu}}^m : C^infty(S^3, V^3_{lambda}) rightarrow C^infty(S^2,L_{m,{nu}}), between the spaces of smooth sections of a vector bundle of rank 3 over the 3-sphere V^3_{lambda} rightarrow S^3, and a line bundle over the 2-sphere L_{m,{nu}} rightarrow S^2. In particular, we give necessary and sufficient conditions on the tuple of parameters ({lambda}, {nu}, m) for which these operators exist.","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43165906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-23DOI: 10.1142/s0129167x23500623
Ali Ebrahimzadeh Esfahani, M. Nemati, Reza Esmailvandi
{"title":"Invariant means and multipliers on convolution quantum group algebras","authors":"Ali Ebrahimzadeh Esfahani, M. Nemati, Reza Esmailvandi","doi":"10.1142/s0129167x23500623","DOIUrl":"https://doi.org/10.1142/s0129167x23500623","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42702723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-16DOI: 10.1142/s0129167x2350060x
Hiromichi Takagi
{"title":"Classification of ℚ-Fano 3-folds of Gorenstein index 2 via key varieties constructed from projective bundles","authors":"Hiromichi Takagi","doi":"10.1142/s0129167x2350060x","DOIUrl":"https://doi.org/10.1142/s0129167x2350060x","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49505344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-12DOI: 10.1142/s0129167x23500520
F. Rong
{"title":"A note on Attracting Domains for Holomorphic Maps in ℂ2 tangent to the identity","authors":"F. Rong","doi":"10.1142/s0129167x23500520","DOIUrl":"https://doi.org/10.1142/s0129167x23500520","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48794949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-12DOI: 10.1142/s0129167x23500519
Lixiang Zhang, Chuanzhong Li
{"title":"Boson-Fermion correspondence of the multi-component constrained mKP hierarchy","authors":"Lixiang Zhang, Chuanzhong Li","doi":"10.1142/s0129167x23500519","DOIUrl":"https://doi.org/10.1142/s0129167x23500519","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44476603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-11DOI: 10.1142/s0129167x23500490
Jin-Cheng Jiang, Hung-Wen Kuo, Meng-Hao Liang
{"title":"Green's function for solving initial-boundary value problem of evolutionary partial differential equations","authors":"Jin-Cheng Jiang, Hung-Wen Kuo, Meng-Hao Liang","doi":"10.1142/s0129167x23500490","DOIUrl":"https://doi.org/10.1142/s0129167x23500490","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48763373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-05DOI: 10.1142/s0129167x23500489
N. Shimamoto
{"title":"Description of GL3-orbits on the quadruple projective spaces","authors":"N. Shimamoto","doi":"10.1142/s0129167x23500489","DOIUrl":"https://doi.org/10.1142/s0129167x23500489","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48693429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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