Mathematica Scandinavica最新文献_第10页

Cohen-Macaulay homological dimensions Cohen-Macaulay同调维数

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2019-04-07 DOI: 10.7146/math.scand.a-119382

P. Sahandi, Tirdad Sharif, S. Yassemi

引用次数: 3

A revised augmented Cuntz semigroup 修正增广Cuntz半群

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2019-04-07 DOI: 10.7146/MATH.SCAND.A-121016

L. Robert, Luis Santiago

引用次数: 5

The reproducing kernel of $mathcal H^2$ and radial eigenfunctions of the hyperbolic Laplacian $mathcalH^2的再生核与双曲拉普拉斯算子的径向本征函数

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2019-01-13 DOI: 10.7146/MATH.SCAND.A-109674

M. Stoll

{"title":"The reproducing kernel of $mathcal H^2$ and radial eigenfunctions of the hyperbolic Laplacian","authors":"M. Stoll","doi":"10.7146/MATH.SCAND.A-109674","DOIUrl":"https://doi.org/10.7146/MATH.SCAND.A-109674","url":null,"abstract":"In the paper we characterize the reproducing kernel $mathcal {K}_{n,h}$ for the Hardy space $mathcal {H}^2$ of hyperbolic harmonic functions on the unit ball $mathbb {B}$ in $mathbb {R}^n$. Specifically we prove that [ mathcal {K}_{n,h}(x,y) = sum _{alpha =0}^infty S_{n,alpha }(lvert xrvert )S_{n,alpha }(lvert yrvert ) Z_alpha (x,y), ] where the series converges absolutely and uniformly on $Ktimes mathbb {B}$ for every compact subset $K$ of $mathbb {B}$. In the above, $S_{n,alpha }$ is a hypergeometric function and $Z_alpha $ is the reproducing kernel of the space of spherical harmonics of degree α. In the paper we prove that [ 0le mathcal K_{n,h}(x,y) le frac {C_n}{(1-2langle x,yrangle + lvert x rvert^2 lvert y rvert^2)^{n-1}}, ] where $C_n$ is a constant depending only on $n$. It is known that the diagonal function $mathcal K_{n,h}(x,x)$ is a radial eigenfunction of the hyperbolic Laplacian $varDelta_h $ on $mathbb{B} $ with eigenvalue $lambda _2 = 8(n-1)^2$. The result for $n=4$ provides motivation that leads to an explicit characterization of all radial eigenfunctions of $varDelta_h $ on $mathbb{B} $. Specifically, if $g$ is a radial eigenfunction of $varDelta_h $ with eigenvalue $lambda _alpha = 4(n-1)^2alpha (alpha -1)$, then [ g(r) = g(0) frac {p_{n,alpha }(r^2)}{(1-r^2)^{(alpha -1)(n-1)}}, ] where $p_{n,alpha }$ is again a hypergeometric function. If α is an integer, then $p_{n,alpha }(r^2)$ is a polynomial of degree $2(alpha -1)(n-1)$.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47396391","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

Blow-ups and Fano manifolds of large pseudoindex 大伪指数的膨胀和范诺流形

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2019-01-13 DOI: 10.7146/MATH.SCAND.A-109996

C. Novelli

引用次数: 0

Multilinear square functions and multiple weights 多重线性平方函数和多重权重

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2019-01-13 DOI: 10.7146/MATH.SCAND.A-105504

L. Grafakos, P. Mohanty, Saurabh Shrivastava

引用次数: 1

Remarks on Diophantine approximation in function fields 函数域的丢番图近似

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2018-12-18 DOI: 10.7146/MATH.SCAND.A-109985

Arijit Ganguly, Anish Ghosh

引用次数: 9

The Dirichlet problem for $m$-subharmonic functions on compact sets 紧集上$m$-次调和函数的Dirichlet问题

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2018-12-16 DOI: 10.7146/math.scand.a-119708

P. Åhag, R. Czyż, Lisa Hed

引用次数: 0

Periodic codings of Bratteli-Vershik systems Bratteli-Vershik系统的周期编码

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2018-12-13 DOI: 10.7146/math.scand.a-117570

S. Frick, K. Petersen, Sandi Shields

引用次数: 1

Forms over fields and Witt's lemma 域上的形式与Witt引理

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2018-11-29 DOI: 10.7146/math.scand.a-120488

D. Sprehn, Nathalie Wahl

引用次数: 3

Generalized adjoints and applications to composition operators 广义伴随及其在复合算子上的应用

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2018-10-30 DOI: 10.7146/math.scand.a-119684

G. Botelho, Leodan A. Torres

引用次数: 3