Complex Analysis and Operator Theory最新文献_第5页

Numerical Radius and Norm Bounds via the Moore-Penrose Inverse 通过摩尔-彭罗斯逆计算数值半径和规范界限

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-21 DOI: 10.1007/s11785-024-01560-y

Mohammad Sababheh, Dragan S. Djordjević, Hamid Reza Moradi

引用次数: 0

Rawnsley’s $$varepsilon $$ -Function on a Class of Bounded Hartogs Domains and its Applications Rawnsley's $$varepsilon $$ -Function on a Class of Bounded Hartogs Domains 及其应用

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-21 DOI: 10.1007/s11785-024-01562-w

Shuo Zhang

引用次数: 0

Representations of Some Classes of Quaternionic Hyperholomorphic Functions 几类四元超全貌函数的表示

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-18 DOI: 10.1007/s11785-024-01561-x

Tetiana Kuzmenko, Vitalii Shpakivskyi

引用次数: 0

Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces 连续函数空间及其子空间上的加权合成半群

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-11 DOI: 10.1007/s11785-024-01559-5

Karsten Kruse

{"title":"Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces","authors":"Karsten Kruse","doi":"10.1007/s11785-024-01559-5","DOIUrl":"https://doi.org/10.1007/s11785-024-01559-5","url":null,"abstract":"This paper is dedicated to weighted composition semigroups on spaces of continuous functions and their subspaces. We consider semigroups induced by semiflows and semicocycles on Banach spaces (mathcal {F}(Omega )) of continuous functions on a Hausdorff space (Omega ) such that the norm-topology is stronger than the compact-open topology like the Hardy spaces, the weighted Bergman spaces, the Dirichlet space, the Bloch type spaces, the space of bounded Dirichlet series and weighted spaces of continuous or holomorphic functions. It was shown by Gallardo-Gutiérrez, Siskakis and Yakubovich that there are no non-trivial norm-strongly continuous weighted composition semigroups on Banach spaces (mathcal {F}(mathbb {D})) of holomorphic functions on the open unit disc (mathbb {D}) such that (H^{infty }subset mathcal {F}(mathbb {D})subset mathcal {B}_{1}) where (H^{infty }) is the Hardy space of bounded holomorphic functions on (mathbb {D}) and (mathcal {B}_{1}) the Bloch space. However, we show that there are non-trivial weighted composition semigroups on such spaces which are strongly continuous w.r.t. the mixed topology between the norm-topology and the compact-open topology. We study such weighted composition semigroups in the general setting of Banach spaces of continuous functions and derive necessary and sufficient conditions on the spaces involved, the semiflows and semicocycles for strong continuity w.r.t. the mixed topology and as a byproduct for norm-strong continuity as well. Moreover, we give several characterisations of their generator and their space of norm-strong continuity.","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"61 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509724","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

The Truncated Moment Problem on Reducible Cubic Curves I: Parabolic and Circular Type Relations 可还原立方曲线上的截断矩问题 I：抛物线与圆型关系

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-08 DOI: 10.1007/s11785-024-01554-w

Seonguk Yoo, Aljaž Zalar

引用次数: 0

Backtracking New Q-Newton’s Method, Newton’s Flow, Voronoi’s Diagram and Stochastic Root Finding 回溯新 Q 牛顿法、牛顿流、沃罗诺图和随机寻根

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-08 DOI: 10.1007/s11785-024-01558-6

John Erik Fornæss, Mi Hu, Tuyen Trung Truong, Takayuki Watanabe

引用次数: 0

Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier 半平面屏障中与超振荡相关的无穷阶微分算子

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-06 DOI: 10.1007/s11785-024-01549-7

Peter Schlosser

{"title":"Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier","authors":"Peter Schlosser","doi":"10.1007/s11785-024-01549-7","DOIUrl":"https://doi.org/10.1007/s11785-024-01549-7","url":null,"abstract":"Superoscillations are a phenomenon in physics, where linear combinations of low-frequency plane waves interfere almost destructively in such a way that the resulting wave has a higher frequency than any of the individual waves. The evolution of superoscillatory initial datum under the time dependent Schrödinger equation is stable in free space, but in general it is unclear whether it can be preserved in the presence of an external potential. In this paper, we consider the two-dimensional problem of superoscillations interacting with a half-plane barrier, where homogeneous Dirichlet or Neumann boundary conditions are imposed on the negative (x_2)-semiaxis. We use the Fresnel integral technique to write the wave function as an absolute convergent Green’s function integral. Moreover, we introduce the propagator of the Schrödinger equation in form of an infinite order differential operator, acting continuously on the function space of exponentially bounded entire functions. In particular, this operator allows to prove that the property of superoscillations is preserved in the form of a similar phenomenon called supershift, which is stable over time.","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"112 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141512430","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 Generalized Fredholm Operators in a Right Quaternionic Hilbert Space 论右四元希尔伯特空间中的广义弗雷德霍尔姆算子

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-03 DOI: 10.1007/s11785-024-01553-x

Monia Boudhief

引用次数: 0

Spectral Projections and Paley–Wiener Theorem for the Unit Ball in $$mathbb {C}^{n}$$ $$mathbb {C}^{n}$ 中单位球的谱投影和帕利-维纳定理

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-06-03 DOI: 10.1007/s11785-024-01555-9

Noureddine Imesmad

{"title":"Spectral Projections and Paley–Wiener Theorem for the Unit Ball in $$mathbb {C}^{n}$$","authors":"Noureddine Imesmad","doi":"10.1007/s11785-024-01555-9","DOIUrl":"https://doi.org/10.1007/s11785-024-01555-9","url":null,"abstract":"For (nu in mathbb {R}), we consider the invariant Laplacians (Delta _{nu }) in the unit complex ball ({mathcal {B}}^{n}=(SU(n,1)/S(U(n)times U(1)))$$begin{aligned} Delta _{nu }= & {} 4(1-|z|^{2})Bigg {sum _{i,j=1}^{n}(delta _{ij}-z_{i}bar{z_{j}})dfrac{partial ^{2}}{partial z_{i}partial bar{z_{j}}}-frac{nu }{2}sum _{j=1}^{n}z_{j}dfrac{partial }{partial z_{j}}+frac{nu }{2}sum _{j=1}^{n}bar{z_{j}}dfrac{partial }{partial bar{z_{j}}}+frac{nu ^2}{4}Bigg } end{aligned}$$and the spectral projectors ({mathcal {Q}}_{lambda ,nu }) associated to (Delta _{nu }) defined by $$begin{aligned} {mathcal {Q}}_{lambda ,nu }f= & {} |{textbf{c}}_{nu }(lambda )|^{-2}f*varphi _{lambda ,nu }(z), end{aligned}$$where (varphi _{lambda ,nu }) is the (S(U(n)times U(1)))-invariant eigenfunction of (Delta _{nu }) and ({textbf{c}}_{nu }(lambda )) the Harish-Chandra function. The goal of this paper is to give an image characterization of ({mathcal {Q}}_{lambda ,nu }) of ({mathcal {C}}_{c}^{infty }({mathcal {B}}^{n})) and (L^{2}({mathcal {B}}^{n},(1-|z|^2)^{-n-1}dm(z))).","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"43 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255400","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

Realization of Inverse Stieltjes Functions $$(-m_alpha (z))$$ by Schrödinger L-Systems 用薛定谔 L 系统实现逆斯蒂尔杰斯函数 $$(-m_alpha (z))$$

IF 0.8 4区数学

Complex Analysis and Operator Theory Pub Date : 2024-05-30 DOI: 10.1007/s11785-024-01522-4

S. Belyi, E. Tsekanovskiĭ

{"title":"Realization of Inverse Stieltjes Functions $$(-m_alpha (z))$$ by Schrödinger L-Systems","authors":"S. Belyi, E. Tsekanovskiĭ","doi":"10.1007/s11785-024-01522-4","DOIUrl":"https://doi.org/10.1007/s11785-024-01522-4","url":null,"abstract":"We study L-system realizations generated by the original Weyl–Titchmarsh functions (m_alpha (z)). In the case when the minimal symmetric Schrödinger operator is non-negative, we describe Schrödinger L-systems that realize inverse Stieltjes functions ((-m_alpha (z))). This approach allows to derive a necessary and sufficient conditions for the functions ((-m_alpha (z))) to be inverse Stieltjes. In particular, the criteria when ((-m_infty (z))) is an inverse Stieltjes function is provided. Moreover, it is shown that the knowledge of the value (m_infty (-0)) and parameter (alpha ) allows us to describe the geometric structure of the L-system realizing ((-m_alpha (z))). Additionally, we present the conditions in terms of the parameter (alpha ) when the main and associated operators of a realizing ((-m_alpha (z))) L-system have the same or different angle of sectoriality which sets connections with the Kato problem on sectorial extensions of sectorial forms. An example that illustrates the obtained results is presented in the end of the paper.","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"44 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141198002","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