Dissertationes Mathematicae最新文献_第8页

Imaginary cone and reflection subgroups of Coxeter groups Coxeter群的虚锥子群和反射子群

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2012-10-18 DOI: 10.4064/dm773-6-2019

M. Dyer

引用次数: 13

Association schemes and MacWilliams dualities for generalized Niederreiter-Rosenbloom-Tsfasman posets 广义niederreiter - rosen布鲁姆- tsfasman偏集的关联格式和MacWilliams对偶

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2012-01-01 DOI: 10.4064/DM487-0-1

Dae San Kim, H. Kim

引用次数: 3

Envelopes and refinements in categories, with applications to functional analysis 分类的包络和细化，以及功能分析的应用

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2011-10-10 DOI: 10.4064/dm702-12-2015

S. Akbarov

引用次数: 11

A general integral 一般积分

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2011-09-14 DOI: 10.4064/dm483-0-1

R. Estrada, J. Vindas

{"title":"A general integral","authors":"R. Estrada, J. Vindas","doi":"10.4064/dm483-0-1","DOIUrl":"https://doi.org/10.4064/dm483-0-1","url":null,"abstract":"We define an integral, the distributional integral of functions of one real variable, that is more general than the Lebesgue and the Denjoy-Perron-Henstock Kurzweil integrals, and which allows the integration of functions with distributional values everywhere or nearly everywhere. \u0000Our integral has the property that if f is locally distributionally integrable over the real line and psi is an element of D(R) is a test function, then f psi is distributionally integrable, and the formula = (dist)integral(infinity)(-infinity) f(x)psi(x)dx, \u0000defines a distribution f is an element of D'(R) that has distributional point values almost everywhere and actually f(x) = f(x) almost everywhere. \u0000The indefinite distributional integral F(x) = (dist) integral(x)(a) f(t)dt corresponds to a distribution with point values everywhere and whose distributional derivative has point values almost everywhere equal to f (x). \u0000The distributional integral is more general than the standard integrals, but it still has many of the useful properties of those standard ones, including integration by parts formulas, substitution formulas, even for infinite intervals (in the Cesaro sense), mean value theorems, and convergence theorems. The distributional integral satisfies a version of Hake's theorem. Unlike general distributions, locally distributionally integrable functions can be restricted to closed sets and can be multiplied by power functions with real positive exponents.","PeriodicalId":51016,"journal":{"name":"Dissertationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2011-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70156752","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: 5

Explicit error bounds for Markov chain Monte Carlo 马尔可夫链蒙特卡罗的显式误差界限

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2011-08-16 DOI: 10.4064/dm485-0-1

Daniel Rudolf

引用次数: 101

Unitary equivalence and decompositions of finite systems of closed densely defined operators in Hilbert spaces Hilbert空间中闭密定义算子有限系统的幺正等价与分解

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2011-05-28 DOI: 10.4064/dm482-0-1

Piotr Niemiec

{"title":"Unitary equivalence and decompositions of finite systems of closed densely defined operators in Hilbert spaces","authors":"Piotr Niemiec","doi":"10.4064/dm482-0-1","DOIUrl":"https://doi.org/10.4064/dm482-0-1","url":null,"abstract":"An textit{ideal} of $N$-tuples of operators is a class invariant with respect to unitary equivalence which contains direct sums of arbitrary collections of its members as well as their (reduced) parts. New decomposition theorems (with respect to ideals) for $N$-tuples of closed densely defined linear operators acting in a common (arbitrary) Hilbert space are presented. Algebraic and order (with respect to containment) properties of the class $CDD_N$ of all unitary equivalence classes of such $N$-tuples are established and certain ideals in $CDD_N$ are distinguished. It is proved that infinite operations in $CDD_N$ may be reconstructed from the direct sum operation of a pair. textit{Prime decomposition} in $CDD_N$ is proposed and its (in a sense) uniqueness is established. The issue of classification of ideals in $CDD_N$ (up to isomorphism) is discussed. A model for $CDD_N$ is described and its concrete realization is presented. A new partial order of $N$-tuples of operators is introduced and its fundamental properties are established. Extremal importance of unitary disjointness of $N$-tuples and the way how it `tidies up' the structure of $CDD_N$ are emphasized.","PeriodicalId":51016,"journal":{"name":"Dissertationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2011-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70156702","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: 8

Lie systems: theory, generalisations, and applications 李系统:理论，推广和应用

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2011-03-21 DOI: 10.4064/dm479-0-1

J. Cariñena, J. Lucas

引用次数: 83

Second duals of measure algebras 测度代数的第二对偶

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2011-01-01 DOI: 10.4064/DM481-0-1

H. Dales, A. Lau, D. Strauss

引用次数: 34

Minimal Non-finitely Based Monoids 最小非有限基Monoids