Biondini, Gino; Luo, Xu-Dan; Oregero, Jeffrey; Tovbis, Alexander Elliptic finite-band potentials of a non-self-adjoint Dirac operator. (English) Zbl 07716356 Adv. Math. 429, Article ID 109188, 63 p. (2023). MSC: 35Q55 35Q53 35Q51 35C08 37K15 37K35 47A10 PDFBibTeX XMLCite \textit{G. Biondini} et al., Adv. Math. 429, Article ID 109188, 63 p. (2023; Zbl 07716356) Full Text: DOI arXiv
Behrndt, Jussi; Schmitz, Philipp; Teschl, Gerald; Trunk, Carsten Perturbations of periodic Sturm-Liouville operators. (English) Zbl 1520.34078 Adv. Math. 422, Article ID 109022, 22 p. (2023). Reviewer: Erdoğan Şen (Tekirdağ) MSC: 34L05 81Q10 34L40 47E05 34B24 47A55 34L15 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Adv. Math. 422, Article ID 109022, 22 p. (2023; Zbl 1520.34078) Full Text: DOI arXiv
Yang, Yiling; Fan, Engui On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions. (English) Zbl 1491.35396 Adv. Math. 402, Article ID 108340, 78 p. (2022). MSC: 35Q51 35Q15 37K15 35C20 35B40 35B35 35C08 41A60 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Fan}, Adv. Math. 402, Article ID 108340, 78 p. (2022; Zbl 1491.35396) Full Text: DOI
Kostenko, Aleksey; Malamud, Mark; Nicolussi, Noema A Glazman-Povzner-Wienholtz theorem on graphs. (English) Zbl 1503.81035 Adv. Math. 395, Article ID 108158, 30 p. (2022). MSC: 81Q35 05C50 39A12 34B45 47B25 81Q10 PDFBibTeX XMLCite \textit{A. Kostenko} et al., Adv. Math. 395, Article ID 108158, 30 p. (2022; Zbl 1503.81035) Full Text: DOI arXiv
Chen, Zhijie; Fu, Erjuan; Lin, Chang-Shou Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \). (English) Zbl 1468.34116 Adv. Math. 383, Article ID 107699, 36 p. (2021). Reviewer: Rodica Luca (Iaşi) MSC: 34L05 34L40 33E10 47A10 34L15 PDFBibTeX XMLCite \textit{Z. Chen} et al., Adv. Math. 383, Article ID 107699, 36 p. (2021; Zbl 1468.34116) Full Text: DOI
Arlinskiĭ, Yury; Tretter, Christiane Everything is possible for the domain intersection dom \(T \cap\) dom \(T^\ast\). (English) Zbl 07258214 Adv. Math. 374, Article ID 107383, 46 p. (2020). MSC: 47A05 47B44 47A20 47A12 PDFBibTeX XMLCite \textit{Y. Arlinskiĭ} and \textit{C. Tretter}, Adv. Math. 374, Article ID 107383, 46 p. (2020; Zbl 07258214) Full Text: DOI arXiv
Latushkin, Yuri; Sukhtaiev, Selim The Maslov index and the spectra of second order elliptic operators. (English) Zbl 06863449 Adv. Math. 329, 422-486 (2018). MSC: 47-XX 35-XX PDFBibTeX XMLCite \textit{Y. Latushkin} and \textit{S. Sukhtaiev}, Adv. Math. 329, 422--486 (2018; Zbl 06863449) Full Text: DOI arXiv
Grünbaum, F. A.; Velázquez, L. A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks. (English) Zbl 1464.47011 Adv. Math. 326, 352-464 (2018). Reviewer: Uwe Franz (Besançon) MSC: 47A56 42C05 47B36 60J10 81Q99 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{L. Velázquez}, Adv. Math. 326, 352--464 (2018; Zbl 1464.47011) Full Text: DOI arXiv
Gesztesy, Fritz; Zinchenko, Maxim Renormalized oscillation theory for Hamiltonian systems. (English) Zbl 1381.34050 Adv. Math. 311, 569-597 (2017). Reviewer: Manfred Möller (Johannesburg) MSC: 34C10 34B24 34L15 34L05 34L10 37J99 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{M. Zinchenko}, Adv. Math. 311, 569--597 (2017; Zbl 1381.34050) Full Text: DOI arXiv
Skripka, Anna Estimates and trace formulas for unitary and resolvent comparable perturbations. (English) Zbl 06766547 Adv. Math. 311, 481-509 (2017). MSC: 47A55 47A56 47B10 PDFBibTeX XMLCite \textit{A. Skripka}, Adv. Math. 311, 481--509 (2017; Zbl 06766547) Full Text: DOI
Ashbaugh, Mark S.; Gesztesy, Fritz; Laptev, Ari; Mitrea, Marius; Sukhtaiev, Selim A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs extensions. (English) Zbl 1362.35197 Adv. Math. 304, 1108-1155 (2017). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 35P15 35J25 35J40 35P05 46E35 47A10 47F05 PDFBibTeX XMLCite \textit{M. S. Ashbaugh} et al., Adv. Math. 304, 1108--1155 (2017; Zbl 1362.35197) Full Text: DOI arXiv
Baranov, Anton D.; Yakubovich, Dmitry V. Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators. (English) Zbl 1353.47021 Adv. Math. 302, 740-798 (2016). MSC: 47A55 34L10 47B32 47A45 PDFBibTeX XMLCite \textit{A. D. Baranov} and \textit{D. V. Yakubovich}, Adv. Math. 302, 740--798 (2016; Zbl 1353.47021) Full Text: DOI arXiv
Gesztesy, Fritz; Mitrea, Marius; Nenciu, Irina; Teschl, Gerald Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials. (English) Zbl 1357.35099 Adv. Math. 301, 1022-1061 (2016). Reviewer: Aleksey Kostenko (Donetsk) MSC: 35J10 35P05 47B25 81Q10 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Adv. Math. 301, 1022--1061 (2016; Zbl 1357.35099) Full Text: DOI arXiv
Damanik, David; Yuditskii, Peter Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces. (English) Zbl 1337.37037 Adv. Math. 293, 738-781 (2016). Reviewer: Leonid Golinskii (Kharkov) MSC: 37H15 34L40 47B39 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{P. Yuditskii}, Adv. Math. 293, 738--781 (2016; Zbl 1337.37037) Full Text: DOI arXiv
Carey, Alan; Grosse, Harald; Kaad, Jens On a spectral flow formula for the homological index. (English) Zbl 1332.19006 Adv. Math. 289, 1106-1156 (2016). Reviewer: Iakovos Androulidakis (Athína) MSC: 19K56 47A55 58B34 PDFBibTeX XMLCite \textit{A. Carey} et al., Adv. Math. 289, 1106--1156 (2016; Zbl 1332.19006) Full Text: DOI arXiv
Malamud, Mark; Neidhardt, Hagen Trace formulas for additive and non-additive perturbations. (English) Zbl 1380.47011 Adv. Math. 274, 736-832 (2015). MSC: 47A55 47B25 PDFBibTeX XMLCite \textit{M. Malamud} and \textit{H. Neidhardt}, Adv. Math. 274, 736--832 (2015; Zbl 1380.47011) Full Text: DOI
Behrndt, Jussi; Rohleder, Jonathan Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions. (English) Zbl 1344.47018 Adv. Math. 285, 1301-1338 (2015). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47B25 34B20 34B24 35P05 47A10 PDFBibTeX XMLCite \textit{J. Behrndt} and \textit{J. Rohleder}, Adv. Math. 285, 1301--1338 (2015; Zbl 1344.47018) Full Text: DOI arXiv
Potapov, Denis; Skripka, Anna; Sukochev, Fedor Trace formulas for resolvent comparable operators. (English) Zbl 1317.47017 Adv. Math. 272, 630-651 (2015). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 47A55 47A56 47B10 PDFBibTeX XMLCite \textit{D. Potapov} et al., Adv. Math. 272, 630--651 (2015; Zbl 1317.47017) Full Text: DOI
Potapov, Denis; Sukochev, Fedor; Tomskova, Anna On the Arazy conjecture concerning Schur multipliers on Schatten ideals. (English) Zbl 1300.47027 Adv. Math. 268, 404-422 (2015). MSC: 47B10 47A13 PDFBibTeX XMLCite \textit{D. Potapov} et al., Adv. Math. 268, 404--422 (2015; Zbl 1300.47027) Full Text: DOI
Geng, Xianguo; Zhai, Yunyun; Dai, H. H. Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. (English) Zbl 1304.37046 Adv. Math. 263, 123-153 (2014). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 37K20 14H70 35Q53 PDFBibTeX XMLCite \textit{X. Geng} et al., Adv. Math. 263, 123--153 (2014; Zbl 1304.37046) Full Text: DOI
Kaad, Jens; Lesch, Matthias Spectral flow and the unbounded Kasparov product. (English) Zbl 1294.19001 Adv. Math. 248, 495-530 (2013). Reviewer: Takahiro Sudo (Nishihara) MSC: 19K35 46H25 58J30 46L80 PDFBibTeX XMLCite \textit{J. Kaad} and \textit{M. Lesch}, Adv. Math. 248, 495--530 (2013; Zbl 1294.19001) Full Text: DOI arXiv
Li, Luen-Chau; Nenciu, Irina The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices. (English) Zbl 1300.37047 Adv. Math. 231, No. 6, 3330-3388 (2012). MSC: 37K60 37K10 PDFBibTeX XMLCite \textit{L.-C. Li} and \textit{I. Nenciu}, Adv. Math. 231, No. 6, 3330--3388 (2012; Zbl 1300.37047) Full Text: DOI arXiv
Christiansen, Jacob S. Szegő’s theorem on Parreau-Widom sets. (English) Zbl 1235.42021 Adv. Math. 229, No. 2, 1180-1204 (2012). Reviewer: Brett Wick (Atlanta) MSC: 42C05 47B36 30Jxx 31Axx PDFBibTeX XMLCite \textit{J. S. Christiansen}, Adv. Math. 229, No. 2, 1180--1204 (2012; Zbl 1235.42021) Full Text: DOI arXiv
Liu, Genqian The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues on Riemannian manifolds. (English) Zbl 1228.35163 Adv. Math. 228, No. 4, 2162-2217 (2011). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P20 58C40 58J50 PDFBibTeX XMLCite \textit{G. Liu}, Adv. Math. 228, No. 4, 2162--2217 (2011; Zbl 1228.35163) Full Text: DOI arXiv
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri The index formula and the spectral shift function for relatively trace class perturbations. (English) Zbl 1220.47017 Adv. Math. 227, No. 1, 319-420 (2011). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 47A53 58J30 47A10 47A40 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Adv. Math. 227, No. 1, 319--420 (2011; Zbl 1220.47017) Full Text: DOI arXiv
Geng, Xianguo; Xue, Bo A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions. (English) Zbl 1207.35254 Adv. Math. 226, No. 1, 827-839 (2011). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35Q51 37K05 37K40 PDFBibTeX XMLCite \textit{X. Geng} and \textit{B. Xue}, Adv. Math. 226, No. 1, 827--839 (2011; Zbl 1207.35254) Full Text: DOI
Ashbaugh, Mark S.; Gesztesy, Fritz; Mitrea, Marius; Teschl, Gerald Spectral theory for perturbed Krein Laplacians in nonsmooth domains. (English) Zbl 1191.35188 Adv. Math. 223, No. 4, 1372-1467 (2010). Reviewer: Bodo Dittmar (Halle) MSC: 35P05 35P20 35J10 81Q10 PDFBibTeX XMLCite \textit{M. S. Ashbaugh} et al., Adv. Math. 223, No. 4, 1372--1467 (2010; Zbl 1191.35188) Full Text: DOI arXiv
Krieger, J.; Schlag, W.; Tataru, D. Renormalization and blow up for the critical Yang-Mills problem. (English) Zbl 1183.35203 Adv. Math. 221, No. 5, 1445-1521 (2009). Reviewer: Marie Kopáčková (Praha) MSC: 35L71 35L67 35C06 35B44 35B33 PDFBibTeX XMLCite \textit{J. Krieger} et al., Adv. Math. 221, No. 5, 1445--1521 (2009; Zbl 1183.35203) Full Text: DOI arXiv