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
Integral Equations and Operator Theory 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
Integral Equations and Operator Theory 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
Integral Equations and Operator Theory Pub Date : 2022-03-08 DOI: 10.1007/s00020-022-02706-3
G. Rozenblum, N. Vasilevski
{"title":"Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach","authors":"G. Rozenblum, N. Vasilevski","doi":"10.1007/s00020-022-02706-3","DOIUrl":"https://doi.org/10.1007/s00020-022-02706-3","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41710999","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: 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
Integral Equations and Operator Theory Pub Date : 2022-03-01 DOI: 10.5152/pcp.2022.21246
Ariel Stravynski, Lise Lachance
{"title":"An Interpersonal Approach to the Treatment of Social Anxiety Disorder (Social Phobia): A Component Analysis.","authors":"Ariel Stravynski, Lise Lachance","doi":"10.5152/pcp.2022.21246","DOIUrl":"10.5152/pcp.2022.21246","url":null,"abstract":"<p><strong>Background: </strong>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.</p><p><strong>Methods: </strong>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.</p><p><strong>Results: </strong>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.</p><p><strong>Conclusion: </strong>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.</p>","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"15 1","pages":"33-44"},"PeriodicalIF":0.7,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11099670/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73092757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Integral Equations and Operator Theory 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
Integral Equations and Operator Theory Pub Date : 2022-02-03 DOI: 10.1007/s00020-022-02684-6
Erick Schulz, R. Hiptmair
{"title":"Coupled Domain-Boundary Variational Formulations for Hodge–Helmholtz Operators","authors":"Erick Schulz, R. Hiptmair","doi":"10.1007/s00020-022-02684-6","DOIUrl":"https://doi.org/10.1007/s00020-022-02684-6","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"94 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52032070","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: 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
Integral Equations and Operator Theory Pub Date : 2022-02-02 DOI: 10.1007/s00020-022-02686-4
Ting Liu, Sen Zhu
{"title":"Random Weighted Shifts on Hilbert Spaces of Analytic Functions","authors":"Ting Liu, Sen Zhu","doi":"10.1007/s00020-022-02686-4","DOIUrl":"https://doi.org/10.1007/s00020-022-02686-4","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"94 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52032314","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
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
Integral Equations and Operator Theory 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
Integral Equations and Operator Theory Pub Date : 2022-01-01 Epub Date: 2022-08-30 DOI: 10.1007/s00020-022-02711-6
Jussi Behrndt, Markus Holzmann, Matěj Tušek
{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">Spectral Transition for Dirac Operators with Electrostatic <ns0:math><ns0:mi>δ</ns0:mi></ns0:math> -Shell Potentials Supported on the Straight Line.","authors":"Jussi Behrndt,&nbsp;Markus Holzmann,&nbsp;Matěj Tušek","doi":"10.1007/s00020-022-02711-6","DOIUrl":"https://doi.org/10.1007/s00020-022-02711-6","url":null,"abstract":"<p><p>In this note the two dimensional Dirac operator <math><msub><mi>A</mi> <mi>η</mi></msub> </math> with an electrostatic <math><mi>δ</mi></math> -shell interaction of strength <math><mrow><mi>η</mi> <mo>∈</mo> <mi>R</mi></mrow> </math> supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths <math><mrow><mi>η</mi> <mo>=</mo> <mo>±</mo> <mn>2</mn></mrow> </math> the continuous spectrum of <math><msub><mi>A</mi> <mi>η</mi></msub> </math> inside the spectral gap of the free Dirac operator <math><msub><mi>A</mi> <mn>0</mn></msub> </math> collapses abruptly to a single point.</p>","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"94 3","pages":"33"},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9427928/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40351255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Integral Equations and Operator Theory Pub Date : 2021-12-29 DOI: 10.1007/s00020-022-02713-4
D. Alpay, F. Colombo, K. Diki, I. Sabadini
{"title":"Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order","authors":"D. Alpay, F. Colombo, K. Diki, I. Sabadini","doi":"10.1007/s00020-022-02713-4","DOIUrl":"https://doi.org/10.1007/s00020-022-02713-4","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42581572","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: 2
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