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Indagationes Mathematicae (Proceedings)最新文献

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p-adic Fourier transforms p进傅里叶变换
Indagationes Mathematicae (Proceedings) Pub Date : 1988-01-01 DOI: 10.1016/1385-7258(88)90001-7
G.F. Borm
{"title":"p-adic Fourier transforms","authors":"G.F. Borm","doi":"10.1016/1385-7258(88)90001-7","DOIUrl":"https://doi.org/10.1016/1385-7258(88)90001-7","url":null,"abstract":"<div><p>In [3]-[7] Woodcock developed a Fourier theory for continuously differentiable functions defined on the set of p-adic integers. In this paper his theory is continued by giving a characterization of the image of the Fourier transformation. Also a special form of continuity of the inverse Fourier transformation is proved and, as an application, the Fourier transform of an antiderivative of a function is calculated.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 1","pages":"Pages 1-8"},"PeriodicalIF":0.0,"publicationDate":"1988-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(88)90001-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91969060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Cantor-Bernstein type theorems in Riesz spaces Riesz空间中的Cantor-Bernstein型定理
Indagationes Mathematicae (Proceedings) Pub Date : 1988-01-01 DOI: 10.1016/1385-7258(88)90011-X
Marek Wójtowicz
{"title":"On Cantor-Bernstein type theorems in Riesz spaces","authors":"Marek Wójtowicz","doi":"10.1016/1385-7258(88)90011-X","DOIUrl":"https://doi.org/10.1016/1385-7258(88)90011-X","url":null,"abstract":"<div><p>We generalize the main result of [21] to Riesz spaces. Let <em>X</em> and <em>Y</em> be Riesz spaces with σ-complete Boolean algebras of projection bands. If <em>X</em> and <em>Y</em> are each Riesz isomorphic to a projection band of the other space then the spaces are Riesz isomorphic. As an application of the above theorem we give an example of non-Riesz isomorphic Banach lattices such that: (1) their order (= topological) duals are Riesz isomorphic and (2) each of them is Riesz isomorphic to a projection band of the other one.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 1","pages":"Pages 93-100"},"PeriodicalIF":0.0,"publicationDate":"1988-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(88)90011-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91969061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
On the denominators of equivalent algebraic numbers 关于等价代数数的分母
Indagationes Mathematicae (Proceedings) Pub Date : 1988-01-01 DOI: 10.1016/1385-7258(88)90005-4
K. Györy , T.N. Shorey
{"title":"On the denominators of equivalent algebraic numbers","authors":"K. Györy ,&nbsp;T.N. Shorey","doi":"10.1016/1385-7258(88)90005-4","DOIUrl":"https://doi.org/10.1016/1385-7258(88)90005-4","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 1","pages":"Pages 29-41"},"PeriodicalIF":0.0,"publicationDate":"1988-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(88)90005-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91969056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The extreme points of some convex sets in the theory of majorization 多数化理论中若干凸集的极值点
Indagationes Mathematicae (Proceedings) Pub Date : 1987-06-22 DOI: 10.1016/S1385-7258(87)80037-9
Anthony Horsley, Andrzej J. Wrobel
{"title":"The extreme points of some convex sets in the theory of majorization","authors":"Anthony Horsley,&nbsp;Andrzej J. Wrobel","doi":"10.1016/S1385-7258(87)80037-9","DOIUrl":"10.1016/S1385-7258(87)80037-9","url":null,"abstract":"<div><p>Let (<em>A</em>, %plane1D;49C;, μ) be a finite measure space, and let <em>Ω</em><sub>µ, w</sub><sup>+</sup><em>f</em> denote the set of all nonnegative real-valued %plane1D;49C;-measurable functions on <em>A</em> weaklymajorized by a nonnegative function <em>f</em>, in the sense of Hardly, Littlewood and Pólya. For a nonatomic µ, the extreme points of<em>Ω</em><sub>µ, w</sub> <sup>+</sup><em>f</em> are shown to be the nonnegativefunctions obtained by taking a fraction (1−θ) of the largest values of and arranging them in any way on any subset of <em>A</em> of measure(1−θ), with values elsewhere set equal to zero. Topological properties of these extreme points are given.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"90 2","pages":"Pages 171-176"},"PeriodicalIF":0.0,"publicationDate":"1987-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(87)80037-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"104810720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Nichtarchimedische teichmüllerräume Nichtarchimedische teichmüllerräume
Indagationes Mathematicae (Proceedings) Pub Date : 1987-06-22 DOI: 10.1016/S1385-7258(87)80036-7
Frank Herrlich
{"title":"Nichtarchimedische teichmüllerräume","authors":"Frank Herrlich","doi":"10.1016/S1385-7258(87)80036-7","DOIUrl":"https://doi.org/10.1016/S1385-7258(87)80036-7","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"90 2","pages":"Pages 145-169"},"PeriodicalIF":0.0,"publicationDate":"1987-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(87)80036-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"137253249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The distribution of some sequences connected with the nearest integer continued fraction 与最近整数连分式相连的若干数列的分布
Indagationes Mathematicae (Proceedings) Pub Date : 1987-06-22 DOI: 10.1016/S1385-7258(87)80038-0
Cor Kraaikamp
{"title":"The distribution of some sequences connected with the nearest integer continued fraction","authors":"Cor Kraaikamp","doi":"10.1016/S1385-7258(87)80038-0","DOIUrl":"https://doi.org/10.1016/S1385-7258(87)80038-0","url":null,"abstract":"<div><p>Let <em>A</em><sub><em>n</em></sub>/<em>B</em><sub><em>n</em></sub>, n = 1,2,… denote the sequence of convergents of the nearest integer continued fraction expansion of the irrational number <em>x</em>, and defineΘ<sub><em>n</em></sub>(<em>x</em>): <em>B</em><sub><em>n</em></sub>|<em>B</em><sub><em>n</em></sub><em>x</em> − <em>A</em><sub><em>n</em></sub>|, n = 1,2,…. In this paper the distribution of the two-dimensional sequence (Θ<sub><em>n</em></sub>(<em>x</em>), Θ<sub><em>n+1</em></sub>(<em>x</em>)), <em>n</em> = 1,2,… is determined for almost all <em>x</em>.</p><p>Various corollaries are obtained, for instance Sendov's analogue of Vahlen's theorem for the nearest integer continued fraction. The present method is an extension of the work by H. Jager on the corresponding problem for the regular continued fraction expansion.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"90 2","pages":"Pages 177-191"},"PeriodicalIF":0.0,"publicationDate":"1987-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(87)80038-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"137253250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
A note on the elimination theory 关于消去理论的注释
Indagationes Mathematicae (Proceedings) Pub Date : 1987-06-22 DOI: 10.1016/S1385-7258(87)80041-0
Piotr Pragacz
{"title":"A note on the elimination theory","authors":"Piotr Pragacz","doi":"10.1016/S1385-7258(87)80041-0","DOIUrl":"10.1016/S1385-7258(87)80041-0","url":null,"abstract":"<div><p>We consider certain generalisation of the resultant of two polynomials in one variable. Using the Schur symmetricfunctions we describe the ideal of all polynomials in the coefficients of two equations, which vanish if these equations have<em>r</em>+1 roots in common, where <em>r</em>≥0. We discuss also related (classical)criterions giving the conditions when two equations have <em>r</em>+1 roots in common, where <em>r</em>≥0.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"90 2","pages":"Pages 215-221"},"PeriodicalIF":0.0,"publicationDate":"1987-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(87)80041-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"106755322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Functional analytic characterizations of the Gelfand-Shilov spaces Sαβ Gelfand-Shilov空间s - αβ的泛函解析表征
Indagationes Mathematicae (Proceedings) Pub Date : 1987-06-22 DOI: 10.1016/S1385-7258(87)80035-5
S.J.L. van Eijndhoven
{"title":"Functional analytic characterizations of the Gelfand-Shilov spaces Sαβ","authors":"S.J.L. van Eijndhoven","doi":"10.1016/S1385-7258(87)80035-5","DOIUrl":"10.1016/S1385-7258(87)80035-5","url":null,"abstract":"<div><p>Let P denote the differentiation operator <em>i d/dx</em> and <em>%plane1D;4AC;</em> the operator of multiplication by <em>x</em> in <em>L</em><sub>2</sub>(ℝ). With suitable domains the operators <em>P</em> and <em>%plane1D;4AC;</em> are self-adjoint. In this paper, characterizations of the space <em>S</em><sub>α</sub><sup>β</sup> of Gelfand and Shilov are derived in terms of the operators <em>P</em> and <em>%plane1D;4AC;</em>. The main result is that <em>S</em><sub>α</sub>=D<sup>ω</sup>(|Q|<sup>1/α</sup>)∩ D<sup>∞</sup>(<em>P</em>), <em>S</em><sup>β</sup> = <em>D</em><sup>∞</sup>(<em>%plane1D;4AC;</em>)<em>D</em><sup>ω</sup>(|<em>P</em>|<sup>1/β</sup>) and <em>S</em><sub>α</sub><sup>β</sup> = <em>D</em><sup>ω</sup>(|<em>%plane1D;4AC;</em>|<sup>1/β</sup>) ∩ ∩ <em>D</em><sup>ω</sup> (|<em>P</em>|<sup>1/β</sup>. Here <em>D</em><sup>∞</sup>(·) denote the <em>C</em><sup>∞</sup> - and the analyticity domain of the operator between brackets.</p><p>In ZBuRe], Burkill et al. introduce the test function space <em>T</em>. Our results imply that <em>T</em> = <sub>1/2</sub><sup>1/2</sup>. That is, the corresponding space of generalized functions can be identified with the space of generalized functions introduced by De Bruijn in ZBr1].</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"90 2","pages":"Pages 133-144"},"PeriodicalIF":0.0,"publicationDate":"1987-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(87)80035-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"105902743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 23
Trace-free differential invariants of triples of vector 1-forms 向量1型三元组的无迹微分不变量
Indagationes Mathematicae (Proceedings) Pub Date : 1987-06-22 DOI: 10.1016/S1385-7258(87)80040-9
Albert Nijenhuis
{"title":"Trace-free differential invariants of triples of vector 1-forms","authors":"Albert Nijenhuis","doi":"10.1016/S1385-7258(87)80040-9","DOIUrl":"10.1016/S1385-7258(87)80040-9","url":null,"abstract":"<div><p>It is shown that the “trace-free” differential invariants of triples of vector 1-forms form a space of dimension 13. Twelve of these are accounted for by constructions based on the known bilinear “bracket” of vector 1-forms. We find one that is new, and exhibit it in various forms, including one that shows an unusual symmetry: it alternates in the three vector 1-forms and is a tensor of type (1,2), symmetric in its covariant part. Two-dimensional manifolds admit yet another new invariant.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"90 2","pages":"Pages 197-214"},"PeriodicalIF":0.0,"publicationDate":"1987-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(87)80040-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"112228229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Modulated quasicrystals 调准晶体
Indagationes Mathematicae (Proceedings) Pub Date : 1987-06-22 DOI: 10.1016/S1385-7258(87)80034-3
N.G. de Bruijn
{"title":"Modulated quasicrystals","authors":"N.G. de Bruijn","doi":"10.1016/S1385-7258(87)80034-3","DOIUrl":"https://doi.org/10.1016/S1385-7258(87)80034-3","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"90 2","pages":"Pages 121-132"},"PeriodicalIF":0.0,"publicationDate":"1987-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(87)80034-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"137253251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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