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Algebra i Analiz, 1998, Volume 10, Issue 5, Pages 143–183 (Mi aa1030)  

This article is cited in 18 scientific papers (total in 18 papers)

Research Papers

Krein's spectral shift and perturbations of spectra of rank one

A. Poltoratski

Department of Mathematics, MIT, Cambridge, MA

Full text: PDF file (1635 kB)

English version:
St. Petersburg Mathematical Journal, 1999, 10:5, 833–859

Bibliographic databases:

Received: 22.08.1997

Citation: A. Poltoratski, “Krein's spectral shift and perturbations of spectra of rank one”, Algebra i Analiz, 10:5 (1998), 143–183; St. Petersburg Math. J., 10:5 (1999), 833–859

Citation in format AMSBIB
\Bibitem{Pol98}
\by A.~Poltoratski
\paper Krein's spectral shift and perturbations of spectra of rank one
\jour Algebra i Analiz
\yr 1998
\vol 10
\issue 5
\pages 143--183
\mathnet{http://mi.mathnet.ru/aa1030}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1659988}
\zmath{https://zbmath.org/?q=an:0932.47009}
\transl
\jour St. Petersburg Math. J.
\yr 1999
\vol 10
\issue 5
\pages 833--859


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Gesztesy F., Tsekanovskii E., “On matrix-valued Herglotz functions”, Math. Nachr., 218 (2000), 61–138  crossref  mathscinet  zmath  isi
    2. Poltoratski A.G., “Equivalence up to a rank one perturbation”, Pacific J. Math., 194:1 (2000), 175–188  crossref  mathscinet  zmath  isi  scopus
    3. Poltoratski A.G., “Properties of exposed points in the unit ball of $H^1$”, Indiana Univ. Math. J., 50:4 (2001), 1789–1806  crossref  mathscinet  zmath  isi  scopus
    4. Poltoratski A., “Survival probability in rank-one perturbation problems”, Comm. Math. Phys., 223:1 (2001), 205–222  crossref  mathscinet  zmath  adsnasa  isi  scopus
    5. Poltoratski A., “Integral representations and uniqueness sets for star-invariant subspaces”, Systems, Approximation, Singular Integral Operators, and Related Topics, Operator Theory : Advances and Applications, 129, 2001, 425–443  crossref  mathscinet  zmath  isi
    6. Nazarov F., Volberg A., “The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces $K_\theta$”, J. Anal. Math., 87 (2002), 385–414  crossref  mathscinet  zmath  isi  scopus
    7. del Rio R., Fuentes S., Poltoratski A., “Families of spectral measures with mixed types”, Operator Methods in Ordinary and Partial Differential Equations, Operator Theory : Advances and Applications, 132, 2002, 131–140  mathscinet  zmath  isi
    8. Poltoratski A., “Maximal properties of the normalized Cauchy transform”, J. Amer. Math. Soc., 16:1 (2003), 1–17  crossref  mathscinet  zmath  isi  scopus
    9. Cima J.A., Matheson A., Ross W.T., “The Cauchy transform”, Quadrature Domains and Their Applications: The Harold S. Shapiro Anniversary Volume, Operator Theory : Advances and Applications, 156, 2005, 79–111  crossref  mathscinet  zmath  isi
    10. V. A. Sadovnichii, V. E. Podolskii, “Traces of operators”, Russian Math. Surveys, 61:5 (2006), 885–953  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    11. Kapustin V., Poltoratski A., “Boundary convergence of vector-valued pseudocontinuable functions”, J. Funct. Anal., 238:1 (2006), 313–326  crossref  mathscinet  zmath  isi  elib  scopus
    12. Poltoratski A., Sarason D., “Aleksandrov-Clark measures”, Recent Advances in Operator-Related Function Theory, Contemporary Mathematics Series, 393, 2006, 1–14  crossref  mathscinet  zmath  isi
    13. Elliott S., “Adjoints of composition operators on Hardy spaces of the half–plane”, Journal of Functional Analysis, 256:12 (2009), 4162–4186  crossref  mathscinet  zmath  isi  scopus
    14. Dutkay D.E., Jorgensen P.E.T., “Spectral Theory for Discrete Laplacians”, Complex Analysis and Operator Theory, 4:1 (2010), 1–38  crossref  mathscinet  zmath  isi  scopus
    15. Budisic M., Putinar M., “Conditioning Moments of Singular Measures for Entropy Optimization. I”, Indag. Math.-New Ser., 23:4, SI (2012), 848–883  crossref  mathscinet  zmath  isi  scopus
    16. Poltoratski A., “Spectral Gaps for Sets and Measures”, Acta Math., 208:1 (2012), 151–209  crossref  mathscinet  zmath  isi  scopus
    17. Abakumov E., Liaw C., Poltoratski A., “Cyclicity in Rank-1 Perturbation Problems”, J. Lond. Math. Soc.-Second Ser., 88:2 (2013), 523–537  crossref  mathscinet  zmath  isi  scopus
    18. Liaw C., “Rank-One Perturbations and Anderson-Type Hamiltonians”, Banach J. Math. Anal., 13:3 (2019), 507–523  crossref  isi
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