发布求助
文献互助 智能选刊 最新文献

Mathematica Scandinavica最新文献

筛选
英文 中文
Exact Green's formula for the fractional Laplacian and perturbations 精确的分数阶拉普拉斯和微扰的格林公式
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-09-03 DOI: 10.7146/MATH.SCAND.A-120889
G. Grubb
{"title":"Exact Green's formula for the fractional Laplacian and perturbations","authors":"G. Grubb","doi":"10.7146/MATH.SCAND.A-120889","DOIUrl":"https://doi.org/10.7146/MATH.SCAND.A-120889","url":null,"abstract":"Let Ω be an open, smooth, bounded subset of $ mathbb{R}^n $. In connection with the fractional Laplacian $(-Delta )^a$ ($a>0$), and more generally for a $2a$-order classical pseudodifferential operator (ψdo) $P$ with even symbol, one can define the Dirichlet value $gamma _0^{a-1}u$, resp. Neumann value $gamma _1^{a-1}u$ of $u(x)$, as the trace, resp. normal derivative, of $u/d^{a-1}$ on $partial Omega $, where $d(x)$ is the distance from $xin Omega $ to $partial Omega $; they define well-posed boundary value problems for $P$. \u0000A Green's formula was shown in a preceding paper, containing a generally nonlocal term $(Bgamma _0^{a-1}u,gamma _0^{a-1}v)_{partial Omega }$, where $B$ is a first-order ψdo on $partial Omega $. Presently, we determine $B$ from $L$ in the case $P=L^a$, where $L$ is a strongly elliptic second-order differential operator. A particular result is that $B=0$ when $L=-Delta $, and that $B$ is multiplication by a function (is local) when $L$ equals $-Delta $ plus a first-order term. In cases of more general $L$, $B$ can be nonlocal.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42125592","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}
引用次数: 3
On octahedrality and Müntz spaces 关于八面体和Müntz空间
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-09-03 DOI: 10.7146/math.scand.a-119844
Andr'e Martiny
{"title":"On octahedrality and Müntz spaces","authors":"Andr'e Martiny","doi":"10.7146/math.scand.a-119844","DOIUrl":"https://doi.org/10.7146/math.scand.a-119844","url":null,"abstract":"We show that every Muntz space can be written as a direct sum of Banach spaces X and Y, where Y is almost isometric to a subspace of c and X is finite dimensional. We apply this to show that no Muntz space is locally octahedral or almost square.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47146548","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}
引用次数: 1
Symmetric Riemann surfaces with no points fixed by orientation preserving automorphisms 无定点对称黎曼曲面的保向自同构
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-09-03 DOI: 10.7146/math.scand.a-121167
Ewa Kozłowska-Walania
{"title":"Symmetric Riemann surfaces with no points fixed by orientation preserving automorphisms","authors":"Ewa Kozłowska-Walania","doi":"10.7146/math.scand.a-121167","DOIUrl":"https://doi.org/10.7146/math.scand.a-121167","url":null,"abstract":"We study the symmetric Riemann surfaces for which the group of orientation preserving automorphisms acts without fixed points. We show that any finite group can give rise to such an action, determine the maximal number of non-conjugate symmetries for such surfaces and find a sharp upper bound on maximal total number of ovals for a set of k symmetries with ovals. We also solve the minimal genus problem for dihedral groups acting on the surfaces described above, for odd genera.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48623154","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}
引用次数: 1
On $C^*$-algebras associated to actions of discrete subgroups of $operatorname{SL}(2,mathbb{R})$ on the punctured plane 关于与穿孔平面上$operatorname｛SL｝（2，mathbb｛R｝）$的离散子群的作用相关的$C^*$-代数
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-09-03 DOI: 10.7146/math.scand.a-120288
J. Bassi
{"title":"On $C^*$-algebras associated to actions of discrete subgroups of $operatorname{SL}(2,mathbb{R})$ on the punctured plane","authors":"J. Bassi","doi":"10.7146/math.scand.a-120288","DOIUrl":"https://doi.org/10.7146/math.scand.a-120288","url":null,"abstract":"Dynamical conditions that guarantee stability for discrete transformation group C∗-algebras are determined. The results are applied to the case of some discrete subgroups of SL(2,R) acting on the punctured plane by means of matrix multiplication of vectors. In the case of cocompact subgroups, further properties of such crossed products are deduced from properties of the C∗-algebra associated to the horocycle flow on the corresponding compact homogeneous space of SL(2,R).","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49027202","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}
引用次数: 0
A direct proof that toric rank $2$ bundles on projective space split 一个直接证明环面秩$2$束在射影空间上是分裂的
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-09-03 DOI: 10.7146/math.scand.a-121452
David Stapleton
{"title":"A direct proof that toric rank $2$ bundles on projective space split","authors":"David Stapleton","doi":"10.7146/math.scand.a-121452","DOIUrl":"https://doi.org/10.7146/math.scand.a-121452","url":null,"abstract":"The point of this paper is to give a short, direct proof that rank $2$ toric vector bundles on $n$-dimensional projective space split once $n$ is at least $3$. This result is originally due to Bertin and Elencwajg, and there is also related work by Kaneyama, Klyachko, and Ilten-Süss. The idea is that, after possibly twisting the vector bundle, there is a section which is a complete intersection.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45522287","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}
引用次数: 0
Remarks on Martio's conjecture 关于Martio猜想的注记
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-06-26 DOI: 10.7146/math.scand.a-132257
Ville Tengvall
{"title":"Remarks on Martio's conjecture","authors":"Ville Tengvall","doi":"10.7146/math.scand.a-132257","DOIUrl":"https://doi.org/10.7146/math.scand.a-132257","url":null,"abstract":"We introduce a certain integrability condition for the reciprocal of the Jacobian determinant which guarantees the local homeomorphism property of quasiregular mappings with a small inner dilatation. This condition turns out to be sharp in the planar case. We also show that every branch point of a quasiregular mapping with a small inner dilatation is a Lebesgue point of the differential matrix of the mapping.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46163613","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}
引用次数: 2
KMS states on crossed products by abelian groups 阿贝尔群在交叉产品上的KMS状态
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-06-25 DOI: 10.7146/math.scand.a-128965
J. Christensen, K. Thomsen
{"title":"KMS states on crossed products by abelian groups","authors":"J. Christensen, K. Thomsen","doi":"10.7146/math.scand.a-128965","DOIUrl":"https://doi.org/10.7146/math.scand.a-128965","url":null,"abstract":"We provide a general description of the KMS states for flows whose fixed point algebra satisfies a certain regularity condition. This is then applied to crossed products by discrete groups, and in particular to certain flows on crossed products by discrete abelian groups where the methods can be combined with spectral analysis for abelian automorphism groups.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44446577","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}
引用次数: 1
Analytic properties of Ohno function Ohno函数的解析性质
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-05-29 DOI: 10.7146/math.scand.a-128520
Ken Kamano, Tomokazu Onozuka
{"title":"Analytic properties of Ohno function","authors":"Ken Kamano, Tomokazu Onozuka","doi":"10.7146/math.scand.a-128520","DOIUrl":"https://doi.org/10.7146/math.scand.a-128520","url":null,"abstract":"Ohno's relation is a well-known relation on the field of the multiple zeta values and has an interpolation to complex function. In this paper, we call its complex function Ohno function and study it. We consider the region of absolute convergence, give some new expressions, and show new relations of the function. We also give a direct proof of the interpolation of Ohno's relation.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41327308","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}
引用次数: 1
Some remarks on $mathrm{K}_0$ of noncommutative tori 关于$mathrm的几点看法{K}_0非交换tori的$
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-05-06 DOI: 10.7146/math.scand.a-119699
Sayan Chakraborty
{"title":"Some remarks on $mathrm{K}_0$ of noncommutative tori","authors":"Sayan Chakraborty","doi":"10.7146/math.scand.a-119699","DOIUrl":"https://doi.org/10.7146/math.scand.a-119699","url":null,"abstract":"Using Rieffel's construction of projective modules over higher dimensional noncommutative tori, we construct projective modules over some continuous field of C*-algebras whose fibres are noncommutative tori. Using a result of Echterhoff et al., our construction gives generators of K0 for all noncommutative tori.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43947012","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}
引用次数: 0
On the convergence of iterates of convolution operators in Banach spaces Banach空间中卷积算子迭代的收敛性
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-05-06 DOI: 10.7146/math.scand.a-119601
H. Mustafayev
{"title":"On the convergence of iterates of convolution operators in Banach spaces","authors":"H. Mustafayev","doi":"10.7146/math.scand.a-119601","DOIUrl":"https://doi.org/10.7146/math.scand.a-119601","url":null,"abstract":"Let G be a locally compact abelian group and let M(G) be the measure algebra of G. A measure μ∈M(G) is said to be power bounded if supn≥0∥μn∥1<∞. Let T={Tg:g∈G} be a bounded and continuous representation of G on a Banach space X. For any μ∈M(G), there is a bounded linear operator on X associated with µ, denoted by Tμ, which integrates Tg with respect to µ. In this paper, we study norm and almost everywhere behavior of the sequences {Tnμx} (x∈X) in the case when µ is power bounded. Some related problems are also discussed.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48320337","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}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信