Pub Date : 2022-04-16DOI: 10.1007/s00020-022-02694-4
L. Nielsen
{"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":null,"pages":null},"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}
Pub Date : 2022-03-11DOI: 10.1007/s00020-022-02719-y
Kousik Dhara, H. Dym
{"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":null,"pages":null},"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}
Pub Date : 2022-03-08DOI: 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":null,"pages":null},"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}
Pub Date : 2022-02-21DOI: 10.1007/s00020-022-02689-1
Cong Zhou
{"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":null,"pages":null},"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}
Pub Date : 2022-02-03DOI: 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":null,"pages":null},"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}
Pub Date : 2022-02-02DOI: 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":null,"pages":null},"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}
Pub Date : 2022-01-01Epub Date: 2022-08-30DOI: 10.1007/s00020-022-02711-6
Jussi Behrndt, Markus Holzmann, Matěj Tušek
In this note the two dimensional Dirac operator with an electrostatic -shell interaction of strength supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths the continuous spectrum of inside the spectral gap of the free Dirac operator collapses abruptly to a single point.
{"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":null,"pages":null},"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}
Pub Date : 2021-12-29DOI: 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":null,"pages":null},"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}
Pub Date : 2021-12-23DOI: 10.1007/s00020-023-02729-4
T. Picon, Claudio Vasconcelos
{"title":"On the Continuity of Strongly Singular Calderón–Zygmund-Type Operators on Hardy Spaces","authors":"T. Picon, Claudio Vasconcelos","doi":"10.1007/s00020-023-02729-4","DOIUrl":"https://doi.org/10.1007/s00020-023-02729-4","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49127908","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}