Integral Equations and Operator Theory最新文献_第3页

Regular Functions on the Scaled Hypercomplex Numbers 标度超复数上的正则函数

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2024-02-26 DOI: 10.1007/s00020-024-02756-9

Daniel Alpay, Ilwoo Cho

引用次数: 0

Invertibility Criteria for the Biharmonic Single-Layer Potential 双谐波单层势的不可逆性标准

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2024-02-22 DOI: 10.1007/s00020-024-02758-7

引用次数: 0

On Rate of Convergence for Universality Limits 论普遍性极限的收敛率

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2024-02-21 DOI: 10.1007/s00020-024-02757-8

Roman Bessonov

引用次数: 0

Discussing Semigroup Bounds with Resolvent Estimates 用残差估计讨论半群界限

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2024-02-16 DOI: 10.1007/s00020-024-02754-x

Bernard Helffer, Johannes Sjöstrand, Joe Viola

{"title":"Discussing Semigroup Bounds with Resolvent Estimates","authors":"Bernard Helffer, Johannes Sjöstrand, Joe Viola","doi":"10.1007/s00020-024-02754-x","DOIUrl":"https://doi.org/10.1007/s00020-024-02754-x","url":null,"abstract":"The purpose of this paper is to revisit the proof of the Gearhardt–Prüss–Huang–Greiner theorem for a semigroup S(t), following the general idea of the proofs that we have seen in the literature and to get an explicit estimate on the operator norm of S(t) in terms of bounds on the resolvent of the generator. In Helffer and Sjöstrand (From resolvent bounds to semigroup bounds. ArXiv:1001.4171v1, math. FA, 2010) by the first two authors, this was done and some applications in semiclassical analysis were given. Some of these results have been subsequently published in three books written by the two first authors Helffer (Spectral theory and its applications. Cambridge University Press, Cambridge, 2013) and Sjöstrand (Lecture notes : Spectral properties of non-self-adjoint operators. Journées équations aux dérivées partielles (2009), article no. 1), (Non self-adjoint differential operators, spectral asymptotics and random perturbations. Pseudo-differential Operators and Applications, Birkhäuser (2018)). A second work Helffer and Sjöstrand (Integral Equ Oper Theory 93(3), 2021) presents new improvements partially motivated by a paper of Wei (Sci China Math 64:507–518, 2021). In this third paper, we continue the discussion on whether the aforementioned results are optimal, and whether one can improve these results through iteration. Numerical computations will illustrate some of the abstract results.","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"99 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139755388","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: 0

On the Real and Imaginary Parts of Powers of the Volterra Operator 论 Volterra 算子幂的实部和虚部

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2024-02-15 DOI: 10.1007/s00020-024-02755-w

Thomas Ransford, Dashdondog Tsedenbayar

引用次数: 0

Regular Ideals, Ideal Intersections, and Quotients 正则表达式、理想交集和对数

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2024-01-29 DOI: 10.1007/s00020-023-02753-4

Jonathan H. Brown, Adam H. Fuller, David R. Pitts, Sarah A. Reznikoff

引用次数: 0

Indefinite Sturm–Liouville Operators in Polar Form 极点形式的无穷 Sturm-Liouville 算子

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2024-01-25 DOI: 10.1007/s00020-023-02746-3

Branko Ćurgus, Volodymyr Derkach, Carsten Trunk

{"title":"Indefinite Sturm–Liouville Operators in Polar Form","authors":"Branko Ćurgus, Volodymyr Derkach, Carsten Trunk","doi":"10.1007/s00020-023-02746-3","DOIUrl":"https://doi.org/10.1007/s00020-023-02746-3","url":null,"abstract":"We consider the indefinite Sturm–Liouville differential expression $$begin{aligned} {mathfrak {a}}(f):= - frac{1}{w}left( frac{1}{r} f' right) ', end{aligned}$$where ({mathfrak {a}}) is defined on a finite or infinite open interval I with (0in I) and the coefficients r and w are locally summable and such that r(x) and (({text {sgn}},x) w(x)) are positive a.e. on I. With the differential expression ({mathfrak {a}}) we associate a nonnegative self-adjoint operator A in the Krein space (L^2_w(I)) which is viewed as a coupling of symmetric operators in Hilbert spaces related to the intersections of I with the positive and the negative semi-axis. For the operator A we derive conditions in terms of the coefficients w and r for the existence of a Riesz basis consisting of generalized eigenfunctions of A and for the similarity of A to a self-adjoint operator in a Hilbert space (L^2_{|w|}(I)). These results are obtained as consequences of abstract results about the regularity of critical points of nonnegative self-adjoint operators in Krein spaces which are couplings of two symmetric operators acting in Hilbert spaces.","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"10 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139552743","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: 0

Some Operator Ideal Properties of Volterra Operators on Bergman and Bloch Spaces 伯格曼和布洛赫空间上 Volterra 算子的一些算子理想特性

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2023-12-10 DOI: 10.1007/s00020-023-02742-7

Joelle Jreis, Pascal Lefèvre

引用次数: 0

Phases of Sectorial Operators 扇区运算符的阶段

IF 0.8 3区数学

Integral Equations and Operator Theory Pub Date : 2023-11-21 DOI: 10.1007/s00020-023-02752-5

Tianqiu Yu, Di Zhao, Li Qiu

引用次数: 0

Denjoy–Wolff Points on the Bidisk via Models 通过模型分析Bidisk的Denjoy-Wolff点

3区数学

Integral Equations and Operator Theory Pub Date : 2023-11-14 DOI: 10.1007/s00020-023-02751-6

Michael T. Jury, Georgios Tsikalas

引用次数: 0