{"title":"Feynman’s Operational Calculus with Arbitrary Measures: An Evolution Equation in the General Case and Examples","authors":"L. Nielsen","doi":"10.1007/s00020-022-02694-4","DOIUrl":"https://doi.org/10.1007/s00020-022-02694-4","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47155979","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}
{"title":"Norms of Basic Operators in Vector Valued Model Spaces and de Branges Spaces","authors":"Kousik Dhara, H. Dym","doi":"10.1007/s00020-022-02719-y","DOIUrl":"https://doi.org/10.1007/s00020-022-02719-y","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43478935","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}
{"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}
{"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}
{"title":"Limit Laws for R-diagonal Variables in a Tracial Probability Space","authors":"Cong Zhou","doi":"10.1007/s00020-022-02689-1","DOIUrl":"https://doi.org/10.1007/s00020-022-02689-1","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"94 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52032449","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}
{"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}
{"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, Markus Holzmann, 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}
{"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}