#### Publications  [ArXiv] [MathSciNet] [Google Scholar] [Research Gate] [ORCID]

Refereed Publications:

• Sharp lower bounds for the Widom factors on the real line with Gökalp Alpan. [PDF]
• Asymptotics of Chebyshev Polynomials, IV. Comments on the Complex Case; with Jacob Christiansen and Barry Simon. J. d'Analyse Math. (to appear) [DOI] [PDF]
• Asymptotics of Chebyshev polynomials, III. Sets saturating Szegö, Schiefermayr, and Totik-Widom bounds; with Jacob Christiansen and Barry Simon. Oper. Theory Adv. Appl. (to appear) [DOI] [PDF]
• On uniqueness of higher order spectral shift functions with Anna Skripka. Studia Math. (to appear) [DOI] [PDF]
• Stability and uniqueness properties of Taylor approximations of matrix functions with Anna Skripka. Linear Algebra Appl. 582 (2019), 218-236. [DOI] [PDF]
• Asymptotics of Chebyshev polynomials, II. DCT subsets of $\mathbb R$; with Jacob Christiansen, Barry Simon, and Peter Yuditskii. Duke Math. J. 168 (2019), 325-349. [DOI] [PDF]
• Renormalized oscillation theory for Hamiltonian systems; with Fritz Gesztesy. Adv. Math. 311 (2017), 569-597. [DOI] [PDF]
• Lieb-Thirring inequalities for complex finite gap Jacobi matrices; with Jacob Christiansen. Lett. Math. Phys. 107 (2017), 1769-1780. [DOI] [PDF]
• Lieb-Thirring inequalities for finite and infinite gap Jacobi matrices; with Jacob Christiansen. Ann. Henri Poincaré 18 (2017), 1949–1976. [DOI] [PDF]
• Asymptotics of Chebyshev polynomials, I. Subsets of $\mathbb R$; with Jacob Christiansen and Barry Simon. Invent. Math. 208 (2017), 217-245. [DOI] [PDF]
• Donoghue-type m-functions for Schrödinger operators with operator-valued potentials; with Fritz Gesztesy, Sergey Naboko, and Rudi Weikard. J. d'Analyse Math. 137 (2019), 373-427. [DOI] [PDF]
• On a perturbation determinant for antidissipative operators; with Konstantin A. Makarov and Anna Skripka. Integr. Equ. Oper. Theory. 81 (2015), 301-317. [DOI] [PDF]
• CMV matrices with super exponentially decaying Verblunsky coefficients. Math. Model. Nat. Phenom. 9 (2014), 282-294. [DOI] [PDF]
• Boundary data maps and Krein's resolvent formula for Schrödinger operators on a compact interval; with Stephen Clark, Fritz Gesztesy, and Roger Nichols. Oper. Matrices 8 (2014), 1-71. [DOI] [PDF]
• On spectral theory for Schrödinger operators with operator-valued potentials; with Fritz Gesztesy and Rudi Weikard. J. Diff. Eqs. 255 (2013), 1784-1827. [DOI] [PDF]
• Stability for the inverse resonance problem for the CMV operator; with Roman Shterenberg and Rudi Weikard. Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday, Proc. Sympos. Pure Math. 87, Amer. Math. Soc., Providence, RI, 2013, pp. 315-326. [DOI] [PDF]
• Finite Gap Jacobi Matrices: A Review; with Jacob Christiansen and Barry Simon. Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday, Proc. Sympos. Pure Math. 87, Amer. Math. Soc., Providence, RI, 2013, pp. 87-103. [DOI] [PDF]
• On a class of model Hilbert spaces; with Fritz Gesztesy and Rudi Weikard. Discrete Contin. Dyn. Syst. 33 (2013), 5067-5088. [DOI] [PDF]
• Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials; with Fritz Gesztesy and Rudi Weikard. Oper. Matrices 7 (2013), 241-283. [DOI] [PDF]
• Finite gap Jacobi matrices, III. Beyond the Szegö class; with Jacob Christiansen and Barry Simon. Constr. Approx. 35 (2012), 259-272. [DOI] [PDF]
• Symmetrized perturbation determinants and applications to boundary data maps and Krein-type resolvent formulas; with Fritz Gesztesy. Proc. London Math. Soc. 104 (2012), 577 – 612. [DOI] [PDF]
• Finite gap Jacobi matrices, II. The Szegö class; with Jacob Christiansen and Barry Simon. Constr. Approx. 33 (2011), 365-403. [DOI] [PDF]
• The Hilbert transform of a measure; with Alexei Poltoratski and Barry Simon. J. d'Analyse Math. 111 (2010), 247-265. [DOI] [PDF]
• Finite gap Jacobi matrices, I. The isospectral torus; with Jacob Christiansen and Barry Simon. Constr. Approx. 32 (2010), 1-65. [DOI] [PDF]
• The inverse resonance problem for CMV operators; with Rudi Weikard. Inverse Problems. 26 055012 (2010). [DOI] [PDF]
• Trace formulas and a Borg-type theorem for CMV operators with matrix-valued coefficients. Math. Nachr. 283 (2010), 312-329. [DOI] [PDF]
• On Dirichlet-to-Neumann maps, nonlocal interactions, and some applications to Fredholm determinants; with Fritz Gesztesy and Marius Mitrea. Few-Body Syst. 47 (2010), 49-64. [DOI] [PDF]
• Right limits and reflectionless measures for CMV matrices; with Jonathan Breuer and Eric Ryckman. Commun. Math. Phys. 292 (2009), 1-28. [DOI] [PDF]
• Finite gap Jacobi matrices: An announcement; with Jacob Christiansen and Barry Simon. J. Comput. Appl. Math. 233 (2009), 652-662. [DOI] [PDF]
• Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators; with Fritz Gesztesy. J. Diff. Eqs. 246 (2009), 78-107. [DOI] [PDF]
• Essential closures and AC spectrum for reflectionless Jacobi, CMV, and Schrödinger operators; with Fritz Gesztesy and Konstantin Makarov. Acta Appl. Math. 103 (2008), 315-339. [DOI] [PDF]
• Borg-Marchenko-type uniqueness results for CMV operators; with Stephen Clark and Fritz Gesztesy. Trans. R. Norw. Soc. Sci. Lett. 1 (2008), 1-18. [DOI] [PDF]
• On Dirichlet-to-Neumann maps and some applications to modified Fredholm determinants; with Fritz Gesztesy and Marius Mitrea. Oper. Theory Adv. Appl., 186, Birkhäuser, Basel, 2008, pp. 191-215. [DOI] [PDF]
• Variations on a theme of Jost and Pais; with Fritz Gesztesy and Marius Mitrea. J. Funct. Anal. 253 (2007), 399-448. [DOI] [PDF]
• A multi-dimensional variant of the Jost and Pais formula; with Fritz Gesztesy and Marius Mitrea. Rep. Math. Phys. 59 (2007), 365-377. [DOI] [PDF]
• Weyl-Titchmarsh theory and Borg-Marchenko-type uniqueness results for CMV operators with matrix-valued Verblunsky coefficients; with Stephen Clark and Fritz Gesztesy. Oper. Matrices 1 (2007), 535-592. [DOI] [PDF]
• A Borg-type theorem associated with orthogonal polynomials on the unit circle; with Fritz Gesztesy. J. Lond. Math. Soc. (2) 74 (2006), 757-777. [DOI] [PDF]
• Weyl-Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle; with Fritz Gesztesy. J. Approx. Th. 139 (2006), 172-213. [DOI] [PDF]
• On spectral theory for Schrödinger operators with strongly singular potentials; with Fritz Gesztesy. Math. Nachr. 279 (2006), 1041-1082. [DOI] [PDF]
• Nonselfadjoint operators, infinite determinants, and some applications; with Fritz Gesztesy, Yuri Latushkin, and Marius Mitrea. Russ. J. Math. Phys. 12 (2005), 443-471. [DOI] [PDF]

Conference Proceedings:

• Minimal rank decoupling of full-lattice CMV operators with scalar- and matrix-valued Verblunsky coefficients; with Stephen Clark and Fritz Gesztesy, Difference Equations and Applications, Ugur-Bahcesehir University Publishing Company, Istanbul, Turkey, 2009, pp. 19-59. [PDF]

Other Writings:

• Matrix Analysis and Spectral Theory; with Anna Skripka. MCTP minicourse, 2013. [PDF]
• Spectral and Inverse Spectral Theory of Second-Order Difference (Jacobi) Operators on N and on Z, VIGRE seminar 2003. [PDF]