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TWISTED SHIFT-INVARIANT SYSTEM IN $L^2(mathbb {R}^{2N})$ $L^2（mathbb｛R｝^｛2N｝）中的扭转平移不变系统$
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2023-06-05 DOI: 10.1017/nmj.2023.11
Santi Ranjan Das, R. Velsamy, Radha Ramakrishnan
{"title":"TWISTED SHIFT-INVARIANT SYSTEM IN \u0000$L^2(mathbb {R}^{2N})$","authors":"Santi Ranjan Das, R. Velsamy, Radha Ramakrishnan","doi":"10.1017/nmj.2023.11","DOIUrl":"https://doi.org/10.1017/nmj.2023.11","url":null,"abstract":"Abstract We consider a general twisted shift-invariant system, \u0000$V^{t}(mathcal {A})$\u0000 , consisting of twisted translates of countably many generators and study the problem of obtaining a characterization for the system \u0000$V^{t}(mathcal {A})$\u0000 to form a frame sequence or a Riesz sequence. We illustrate our theory with some examples. In addition to these results, we study a dual twisted shift-invariant system and also obtain an orthonormal sequence of twisted translates from a given Riesz sequence of twisted translates.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"251 1","pages":"734 - 767"},"PeriodicalIF":0.8,"publicationDate":"2023-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41480721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
CONCAVITY PROPERTY OF MINIMAL INTEGRALS WITH LEBESGUE MEASURABLE GAIN 具有LEBESGUE可测增益的极小积分的凹性
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2023-06-05 DOI: 10.1017/nmj.2023.12
Q. Guan, Zheng Yuan
{"title":"CONCAVITY PROPERTY OF MINIMAL INTEGRALS WITH LEBESGUE MEASURABLE GAIN","authors":"Q. Guan, Zheng Yuan","doi":"10.1017/nmj.2023.12","DOIUrl":"https://doi.org/10.1017/nmj.2023.12","url":null,"abstract":"\u0000 In this article, we present a concavity property of the minimal \u0000 \u0000 \u0000 \u0000$L^{2}$\u0000\u0000 \u0000 integrals related to multiplier ideal sheaves with Lebesgue measurable gain. As applications, we give necessary conditions for our concavity degenerating to linearity, characterizations for 1-dimensional case, and a characterization for the holding of the equality in optimal \u0000 \u0000 \u0000 \u0000$L^2$\u0000\u0000 \u0000 extension problem on open Riemann surfaces with weights may not be subharmonic.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49499886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
ON THE ESSENTIAL TORSION FINITENESS OF ABELIAN VARIETIES OVER TORSION FIELDS 关于扭转域上阿贝尔变型的本质扭转有限性
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2023-05-30 DOI: 10.1017/nmj.2023.19
Jeff Achter, Lian Duan, Xiyuan Wang
{"title":"ON THE ESSENTIAL TORSION FINITENESS OF ABELIAN VARIETIES OVER TORSION FIELDS","authors":"Jeff Achter, Lian Duan, Xiyuan Wang","doi":"10.1017/nmj.2023.19","DOIUrl":"https://doi.org/10.1017/nmj.2023.19","url":null,"abstract":"\u0000 The classical Mordell–Weil theorem implies that an abelian variety A over a number field K has only finitely many K-rational torsion points. This finitude of torsion still holds even over the cyclotomic extension \u0000 \u0000 \u0000 \u0000$K^{mathrm {cyc}}=K{mathbb Q}^{mathrm {ab}}$\u0000\u0000 \u0000 by a result of Ribet. In this article, we consider the finiteness of torsion points of an abelian variety A over the infinite algebraic extension \u0000 \u0000 \u0000 \u0000$K_B$\u0000\u0000 \u0000 obtained by adjoining the coordinates of all torsion points of an abelian variety B. Assuming the Mumford–Tate conjecture, and up to a finite extension of the base field K, we give a necessary and sufficient condition for the finiteness of \u0000 \u0000 \u0000 \u0000$A(K_B)_{mathrm tors}$\u0000\u0000 \u0000 in terms of Mumford–Tate groups. We give a complete answer when both abelian varieties have dimension at most 3, or when both have complex multiplication.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47794676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
NMJ volume 250 Cover and Front matter NMJ卷250封面和封面
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2023-05-03 DOI: 10.1017/nmj.2023.8
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引用次数: 0
NMJ volume 250 Cover and Back matter NMJ卷250封面和封底
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2023-05-03 DOI: 10.1017/nmj.2023.9
{"title":"NMJ volume 250 Cover and Back matter","authors":"","doi":"10.1017/nmj.2023.9","DOIUrl":"https://doi.org/10.1017/nmj.2023.9","url":null,"abstract":"","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"250 1","pages":"b1 - b2"},"PeriodicalIF":0.8,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49414526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
NMJ volume 251 Cover and Front matter NMJ卷251封面和封面问题
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2023-02-08 DOI: 10.1017/nmj.2023.1
Valeria Banica, K. Hirachi, Honda, Ko, Osamu Iyama, K. Kedlaya, Akhil Mathew, Emmanuel Russ, Sho Tanimoto, Jerry L Bona, Kenji Fukaya, Shigeyuki Kondo, Ruochuan Liu, Linquan Ma, S. Mori, Shigeru Mukai, Junjiro Noguchi, Toshiaki Shoji, Akio Tamagawa, Yukinobu Toda
{"title":"NMJ volume 251 Cover and Front matter","authors":"Valeria Banica, K. Hirachi, Honda, Ko, Osamu Iyama, K. Kedlaya, Akhil Mathew, Emmanuel Russ, Sho Tanimoto, Jerry L Bona, Kenji Fukaya, Shigeyuki Kondo, Ruochuan Liu, Linquan Ma, S. Mori, Shigeru Mukai, Junjiro Noguchi, Toshiaki Shoji, Akio Tamagawa, Yukinobu Toda","doi":"10.1017/nmj.2023.1","DOIUrl":"https://doi.org/10.1017/nmj.2023.1","url":null,"abstract":". We establish explicit isomorphisms of two seemingly-different algebras, and their Schur algebras, arising from the centralizers of two different type B Weyl group actions in Schur-like dualities. We provide a presentation of the geometric counterpart of the above Schur algebras in [1] specialized at q = 1.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"251 1","pages":"f1 - f3"},"PeriodicalIF":0.8,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46731351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
NMJ volume 249 Cover and Back matter NMJ第249卷封面和封底
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2023-02-08 DOI: 10.1017/nmj.2023.2
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引用次数: 0
LINES ON HOLOMORPHIC CONTACT MANIFOLDS AND A GENERALIZATION OF $(2,3,5)$ -DISTRIBUTIONS TO HIGHER DIMENSIONS 全纯接触流形上的线和高维$（2,3,5）$分布的推广
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2023-01-30 DOI: 10.1017/nmj.2023.3
Jun-Muk Hwang, Qifeng Li
{"title":"LINES ON HOLOMORPHIC CONTACT MANIFOLDS AND A GENERALIZATION OF \u0000$(2,3,5)$\u0000 -DISTRIBUTIONS TO HIGHER DIMENSIONS","authors":"Jun-Muk Hwang, Qifeng Li","doi":"10.1017/nmj.2023.3","DOIUrl":"https://doi.org/10.1017/nmj.2023.3","url":null,"abstract":"Abstract Since the celebrated work by Cartan, distributions with small growth vector \u0000$(2,3,5)$\u0000 have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic \u0000$(2,3,5)$\u0000 -distributions and nondegenerate lines on holomorphic contact manifolds of dimension 5. We generalize this correspondence to higher dimensions by studying nondegenerate lines on holomorphic contact manifolds and the corresponding class of distributions of small growth vector \u0000$(2m, 3m, 3m+2)$\u0000 for any positive integer m.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"251 1","pages":"652 - 668"},"PeriodicalIF":0.8,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46568727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
FROBENIUS-AFFINE STRUCTURES AND TANGO CURVES frobenius -仿射结构和探戈曲线
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2022-11-24 DOI: 10.1017/nmj.2022.36
Yuichiro Hoshi
{"title":"FROBENIUS-AFFINE STRUCTURES AND TANGO CURVES","authors":"Yuichiro Hoshi","doi":"10.1017/nmj.2022.36","DOIUrl":"https://doi.org/10.1017/nmj.2022.36","url":null,"abstract":"Abstract In a previous paper, we discussed Frobenius-projective structures on projective smooth curves in positive characteristic and established a relationship between pseudo-coordinates and Frobenius-indigenous structures by means of Frobenius-projective structures. In the present paper, we discuss an “affine version” of this study of Frobenius-projective structures. More specifically, we discuss Frobenius-affine structures and establish a similar relationship between Tango functions and Frobenius-affine-indigenous structures by means of Frobenius-affine structures. Moreover, we also consider a relationship between these objects and Tango curves.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"250 1","pages":"385 - 409"},"PeriodicalIF":0.8,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48639748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 4
NMJ volume 248 Cover and Back matter NMJ第248卷封面和封底
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2022-11-14 DOI: 10.1017/nmj.2022.34
{"title":"NMJ volume 248 Cover and Back matter","authors":"","doi":"10.1017/nmj.2022.34","DOIUrl":"https://doi.org/10.1017/nmj.2022.34","url":null,"abstract":"","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"248 1","pages":"b1 - b2"},"PeriodicalIF":0.8,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47337538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
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