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":"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}
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":" ","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}
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":"95 1","pages":""},"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}
Pub Date : 2021-12-17DOI: 10.1007/s00020-021-02672-2
M. Izuki, E. Nakai, Y. Sawano
{"title":"Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions","authors":"M. Izuki, E. Nakai, Y. Sawano","doi":"10.1007/s00020-021-02672-2","DOIUrl":"https://doi.org/10.1007/s00020-021-02672-2","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45239028","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 : 2021-11-27DOI: 10.1007/s00020-021-02679-9
L. Golinskii
{"title":"Volterra-Type Discrete Integral Equations and Spectra of Non-self-adjoint Jacobi Operators","authors":"L. Golinskii","doi":"10.1007/s00020-021-02679-9","DOIUrl":"https://doi.org/10.1007/s00020-021-02679-9","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45391335","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 : 2021-11-18DOI: 10.1007/s00020-021-02680-2
J. Bonet, W. Lusky, J. Taskinen
{"title":"Unbounded Bergman Projections on Weighted Spaces with Respect to Exponential Weights","authors":"J. Bonet, W. Lusky, J. Taskinen","doi":"10.1007/s00020-021-02680-2","DOIUrl":"https://doi.org/10.1007/s00020-021-02680-2","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45164811","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 : 2021-10-19DOI: 10.1007/s00020-022-02709-0
E. Andruchow
{"title":"Operators Which Preserve a Positive Definite Inner Product","authors":"E. Andruchow","doi":"10.1007/s00020-022-02709-0","DOIUrl":"https://doi.org/10.1007/s00020-022-02709-0","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46433452","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 : 2021-10-12DOI: 10.1007/s00020-022-02700-9
Christopher Felder, Douglas T. Pfeffer, Benjamin P. Russo
{"title":"Spectra for Toeplitz Operators Associated with a Constrained Subalgebra","authors":"Christopher Felder, Douglas T. Pfeffer, Benjamin P. Russo","doi":"10.1007/s00020-022-02700-9","DOIUrl":"https://doi.org/10.1007/s00020-022-02700-9","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45300645","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 : 2021-10-01DOI: 10.1007/s00020-021-02668-y
Karol Leśnik, P. Mleczko
{"title":"Compact Hankel Operators Between Distinct Hardy Spaces and Commutators","authors":"Karol Leśnik, P. Mleczko","doi":"10.1007/s00020-021-02668-y","DOIUrl":"https://doi.org/10.1007/s00020-021-02668-y","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44810208","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 : 2021-10-01DOI: 10.1007/s00020-021-02658-0
Z. Jablonski, Jakub Kośmider
{"title":"$$varvec{m}$$–Isometric Composition Operators on Directed Graphs with One Circuit","authors":"Z. Jablonski, Jakub Kośmider","doi":"10.1007/s00020-021-02658-0","DOIUrl":"https://doi.org/10.1007/s00020-021-02658-0","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00020-021-02658-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43882826","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}
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