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Integral Equations and Operator Theory最新文献

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Feynman’s Operational Calculus with Arbitrary Measures: An Evolution Equation in the General Case and Examples 费曼任意测度算子:一个一般情况下的演化方程及其实例
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2022-04-16 DOI: 10.1007/s00020-022-02694-4
L. Nielsen
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引用次数: 1
Norms of Basic Operators in Vector Valued Model Spaces and de Branges Spaces 向量值模型空间和de brange空间中基本算子的范数
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2022-03-11 DOI: 10.1007/s00020-022-02719-y
Kousik Dhara, H. Dym
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引用次数: 0
Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach Bergman空间上Toeplitz算子的交换代数:谱定理方法
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2022-03-08 DOI: 10.1007/s00020-022-02706-3
G. Rozenblum, N. Vasilevski
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引用次数: 74
An Interpersonal Approach to the Treatment of Social Anxiety Disorder (Social Phobia): A Component Analysis. 人际交往法治疗社交焦虑症(社交恐惧症):成分分析。
IF 0.7 3区 数学 Q2 MATHEMATICS Pub Date : 2022-03-01 DOI: 10.5152/pcp.2022.21246
Ariel Stravynski, Lise Lachance

Background: Most treatments of social anxiety disorder aim at anxiety reduction. To what extent this leads to improved social functioning remains unclear. An effective alternative aiming primarily at social functioning- the Interpersonal Approach- is available. The present study sought to identify its active ingredients.

Methods: This is a randomized controlled study; 102 social anxiety disorder individuals were randomly assigned to 3 versions of the Interpersonal Approach. A total of 76 patients completed treatment and 67, a 1-year follow-up. The patients met Diagnostic and Statistical Manual of Mental Disorders, fourth edition criteria for social anxiety disorder. The study was carried out in an experimental clinic for the treatment of social anxiety disorder at the Research Center of Louis-H. Lafontaine Hospital in Montreal, Canada.

Results: No clinically meaningful change occurred during the waiting list. A significant and equivalent improvement was obtained in all treatment conditions in social functioning, anxiousness, and general psychopathology, maintaining over a 12-month follow-up. Remission rates improved progressively with 54% remission at 1-year follow-up. All variants of the Interpersonal Approach resulted in similar improvements.

Conclusion: The Interpersonal Approach in all its versions has proved to be effective in reducing anxiety complaints and improving social functioning. The combined improvement in these 2 outcomes accounts for the significant remission rates seen at 1-year follow-up. Two active features were common to all: (1) targeting and ultimately dissolving long-standing habits of self-protection across various spheres of life and (2) fostering participatory interpersonal patterns of behavior, enacted by patients systematically and repeatedly between sessions.

背景:大多数治疗社交焦虑症的方法都旨在减轻焦虑。但这在多大程度上能改善社交功能,目前仍不清楚。目前有一种主要针对社会功能的有效替代疗法--人际关系疗法。本研究旨在确定其有效成分:这是一项随机对照研究;102 名社交焦虑症患者被随机分配到三种不同版本的人际关系疗法中。共有 76 名患者完成了治疗,67 名患者完成了为期 1 年的随访。这些患者均符合《精神疾病诊断与统计手册》第四版关于社交焦虑症的标准。这项研究是在蒙特利尔路易斯-H.拉方丹医院研究中心的社交焦虑症治疗实验诊所进行的。拉方丹医院研究中心的社交焦虑症治疗实验诊所进行:结果:在候诊期间,患者的病情没有发生有临床意义的变化。在所有治疗条件下,社交功能、焦虑症和一般精神病理学都得到了明显和同等程度的改善,并持续了 12 个月的随访。缓解率逐步提高,1 年随访时缓解率为 54%。人际关系疗法的所有变体都带来了类似的改善:结论:人际关系疗法的所有变体在减少焦虑主诉和改善社会功能方面都被证明是有效的。这两种结果的综合改善说明了在 1 年随访中发现的显著缓解率。所有疗法都有两个共同的积极特征:(1) 针对并最终消除生活各领域中长期存在的自我保护习惯;(2) 培养参与式人际行为模式,由患者在疗程间系统地反复实施。
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引用次数: 0
Limit Laws for R-diagonal Variables in a Tracial Probability Space 循迹概率空间中r -对角变量的极限律
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2022-02-21 DOI: 10.1007/s00020-022-02689-1
Cong Zhou
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引用次数: 1
Coupled Domain-Boundary Variational Formulations for Hodge–Helmholtz Operators Hodge-Helmholtz算子的耦合域边界变分公式
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2022-02-03 DOI: 10.1007/s00020-022-02684-6
Erick Schulz, R. Hiptmair
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引用次数: 2
Random Weighted Shifts on Hilbert Spaces of Analytic Functions 解析函数Hilbert空间上的随机加权移位
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2022-02-02 DOI: 10.1007/s00020-022-02686-4
Ting Liu, Sen Zhu
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引用次数: 0
Matrix-Valued Truncated Toeplitz Operators: Unbounded Symbols, Kernels and Equivalence After Extension 矩阵值截断Toeplitz算子:无界符号、核和推广后的等价性
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2022-01-29 DOI: 10.1007/s00020-022-02685-5
Ryan O’Loughlin
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引用次数: 1
Spectral Transition for Dirac Operators with Electrostatic δ -Shell Potentials Supported on the Straight Line. 直线上支持静电δ壳势的Dirac算子的谱跃迁。
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2022-01-01 Epub Date: 2022-08-30 DOI: 10.1007/s00020-022-02711-6
Jussi Behrndt, Markus Holzmann, Matěj Tušek

In this note the two dimensional Dirac operator A η with an electrostatic δ -shell interaction of strength η R supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths η = ± 2 the continuous spectrum of A η inside the spectral gap of the free Dirac operator A 0 collapses abruptly to a single point.

本文研究了具有强度η∈R的静电δ壳相互作用的二维狄拉克算子A η在直线上的支承。我们观察到在临界相互作用强度η =±2时,自由狄拉克算符a0的谱隙内的a η的连续谱突然坍缩为一个单点。
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引用次数: 4
Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order 无限阶多分析函数的核Hilbert空间的再现
IF 0.8 3区 数学 Q2 MATHEMATICS Pub Date : 2021-12-29 DOI: 10.1007/s00020-022-02713-4
D. Alpay, F. Colombo, K. Diki, I. Sabadini
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引用次数: 2
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Integral Equations and Operator Theory
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