Bögli, Sabine; Cuenin, Jean-Claude Counterexample to the Laptev-Safronov conjecture. (English) Zbl 1510.35191 Commun. Math. Phys. 398, No. 3, 1349-1370 (2023). MSC: 35P15 35J10 PDFBibTeX XMLCite \textit{S. Bögli} and \textit{J.-C. Cuenin}, Commun. Math. Phys. 398, No. 3, 1349--1370 (2023; Zbl 1510.35191) Full Text: DOI arXiv
Kinzebulatov, Damir; Semënov, Yuliy A. Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields. (English) Zbl 1500.35197 Math. Ann. 384, No. 3-4, 1883-1929 (2022). MSC: 35K08 35B45 47D07 60J35 PDFBibTeX XMLCite \textit{D. Kinzebulatov} and \textit{Y. A. Semënov}, Math. Ann. 384, No. 3--4, 1883--1929 (2022; Zbl 1500.35197) Full Text: DOI arXiv
Ben-Artzi, Jonathan; Marletta, Marco; Rösler, Frank Universal algorithms for computing spectra of periodic operators. (English) Zbl 1486.35157 Numer. Math. 150, No. 3, 719-767 (2022). MSC: 35J10 47B37 35P05 37A10 68Q25 PDFBibTeX XMLCite \textit{J. Ben-Artzi} et al., Numer. Math. 150, No. 3, 719--767 (2022; Zbl 1486.35157) Full Text: DOI arXiv
Boussaid, Nabile; Comech, Andrew Limiting absorption principle and virtual levels of operators in Banach spaces. (English. French summary) Zbl 1485.35300 Ann. Math. Qué. 46, No. 1, 161-180 (2022). MSC: 35P05 47A40 47B01 78A45 PDFBibTeX XMLCite \textit{N. Boussaid} and \textit{A. Comech}, Ann. Math. Qué. 46, No. 1, 161--180 (2022; Zbl 1485.35300) Full Text: DOI arXiv
Hansmann, Marcel; Rose, Christian; Stollmann, Peter Bounds on the first Betti number: an approach via Schatten norm estimates on semigroup differences. (English) Zbl 1486.53044 J. Geom. Anal. 32, No. 4, Paper No. 115, 17 p. (2022). MSC: 53C20 58J50 58J35 PDFBibTeX XMLCite \textit{M. Hansmann} et al., J. Geom. Anal. 32, No. 4, Paper No. 115, 17 p. (2022; Zbl 1486.53044) Full Text: DOI arXiv
Frank, Rupert L. The Lieb-Thirring inequalities: recent results and open problems. (English) Zbl 1518.35002 Kechris, A. (ed.) et al., Nine mathematical challenges. An elucidation. Proceedings of the Linde Hall inaugural math symposium, California Institute of Technology, Pasadena, CA, USA, February 22–24, 2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 104, 45-86 (2021). Reviewer: Simon Larson (Pasadena) MSC: 35-02 35A23 35J10 35P15 81Q10 PDFBibTeX XMLCite \textit{R. L. Frank}, Proc. Symp. Pure Math. 104, 45--86 (2021; Zbl 1518.35002) Full Text: DOI arXiv
Carron, Gilles (ed.); Güneysu, Batu (ed.); Keller, Matthias (ed.); Kuwae, Kazuhiro (ed.) Mini-workshop: Variable curvature bounds, analysis and topology on Dirichlet spaces. Abstracts from the mini-workshop held December 5–11, 2021 (hybrid meeting). (English) Zbl 1506.00053 Oberwolfach Rep. 18, No. 4, 3135-3186 (2021). MSC: 00B05 00B25 31-06 31C25 PDFBibTeX XMLCite \textit{G. Carron} (ed.) et al., Oberwolfach Rep. 18, No. 4, 3135--3186 (2021; Zbl 1506.00053) Full Text: DOI
Hoffmann-Ostenhof, T.; Laptev, A. Hardy inequality for antisymmetric functions. (English. Russian original) Zbl 1482.35020 Funct. Anal. Appl. 55, No. 2, 122-129 (2021); translation from Funkts. Anal. Prilozh. 55, No. 2, 55-64 (2021). MSC: 35A23 26D10 35P15 PDFBibTeX XMLCite \textit{T. Hoffmann-Ostenhof} and \textit{A. Laptev}, Funct. Anal. Appl. 55, No. 2, 122--129 (2021; Zbl 1482.35020); translation from Funkts. Anal. Prilozh. 55, No. 2, 55--64 (2021) Full Text: DOI
Duy, Nguyen Tuan; Lam, Nguyen; Phi, Le Long A note on the second order geometric Rellich inequality on half-space. (English) Zbl 1468.26012 Monatsh. Math. 195, No. 2, 233-248 (2021). Reviewer: Meng Qu (Wuhu) MSC: 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{N. T. Duy} et al., Monatsh. Math. 195, No. 2, 233--248 (2021; Zbl 1468.26012) Full Text: DOI
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim Remarks on periodic Jacobi matrices on trees. (English) Zbl 1462.81095 J. Math. Phys. 62, No. 4, Article ID 042101, 7 p. (2021). MSC: 81Q35 47B36 05C05 05C69 05C15 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., J. Math. Phys. 62, No. 4, Article ID 042101, 7 p. (2021; Zbl 1462.81095) Full Text: DOI arXiv Link
Granovskyi, Yaroslav; Malamud, Mark; Neidhardt, Hagen Non-compact quantum graphs with summable matrix potentials. (English) Zbl 1457.81043 Ann. Henri Poincaré 22, No. 1, 1-47 (2021). MSC: 81Q10 35Pxx 58J50 46C05 47B06 47B10 47B15 47B25 PDFBibTeX XMLCite \textit{Y. Granovskyi} et al., Ann. Henri Poincaré 22, No. 1, 1--47 (2021; Zbl 1457.81043) Full Text: DOI arXiv
Aliev, A. R.; Rajabov, Sh. Sh. Radiation conditions for the magnetic Helmholtz equation. (English. Russian original) Zbl 1448.35109 Math. Notes 108, No. 2, 155-161 (2020); translation from Mat. Zametki 108, No. 2, 171-178 (2020). MSC: 35J05 47B25 PDFBibTeX XMLCite \textit{A. R. Aliev} and \textit{Sh. Sh. Rajabov}, Math. Notes 108, No. 2, 155--161 (2020; Zbl 1448.35109); translation from Mat. Zametki 108, No. 2, 171--178 (2020) Full Text: DOI
Ito, Hiroshi T.; Yamada, Osanobu Spectral theory of Dirac operators with potentials diverging at infinity. (English. Japanese original) Zbl 1439.35356 Sugaku Expo. 33, No. 1, 111-133 (2020); translation from Sūgaku 68, No. 4, 381-402 (2016). MSC: 35P20 81Q15 PDFBibTeX XMLCite \textit{H. T. Ito} and \textit{O. Yamada}, Sugaku Expo. 33, No. 1, 111--133 (2020; Zbl 1439.35356); translation from Sūgaku 68, No. 4, 381--402 (2016) Full Text: DOI
Bruneau, Vincent; Raikov, Georgi Local eigenvalue asymptotics of the perturbed Krein Laplacian. (English) Zbl 1458.47022 Bonetto, Federico (ed.) et al., Mathematical problems in quantum physics. QMATH13: Conference on mathematical results in quantum physics, Georgia Institute of Technology, Atlanta, GA, USA, October 8–11, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 717, 197-213 (2018). MSC: 47F05 35P20 47B35 35J25 35P15 PDFBibTeX XMLCite \textit{V. Bruneau} and \textit{G. Raikov}, Contemp. Math. 717, 197--213 (2018; Zbl 1458.47022) Full Text: DOI Link
Cipriani, Fabio On the eigenvalue counting function for Schrödinger operator: some upper bounds. (English) Zbl 1419.35011 Rend. Mat. Appl., VII. Ser. 39, No. 2, 257-276 (2018). MSC: 35J10 35P20 81Q10 PDFBibTeX XMLCite \textit{F. Cipriani}, Rend. Mat. Appl., VII. Ser. 39, No. 2, 257--276 (2018; Zbl 1419.35011) Full Text: arXiv Link
Kostenko, Aleksey; Nicolussi, Noema On the Hamiltonian-Krein index for a non-self-adjoint spectral problem. (English) Zbl 1394.35302 Proc. Am. Math. Soc. 146, No. 9, 3907-3921 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35P15 47A53 47A75 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, Proc. Am. Math. Soc. 146, No. 9, 3907--3921 (2018; Zbl 1394.35302) Full Text: DOI arXiv
Goffeng, Magnus; Kachmar, Ayman; Persson Sundqvist, Mikael Clusters of eigenvalues for the magnetic Laplacian with Robin condition. (English) Zbl 1355.81073 J. Math. Phys. 57, No. 6, 063510, 19 p. (2016). Reviewer: Nikolaos L. Tsitsas (Athens) MSC: 81Q05 81Q10 78A30 35J10 35G15 35P05 PDFBibTeX XMLCite \textit{M. Goffeng} et al., J. Math. Phys. 57, No. 6, 063510, 19 p. (2016; Zbl 1355.81073) Full Text: DOI arXiv Link
Birman, M. Sh.; Solomyak, M. On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential. (English) Zbl 1200.35196 J. Anal. Math. 83, 337-391 (2001). MSC: 35P05 35B10 35P20 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{M. Solomyak}, J. Anal. Math. 83, 337--391 (2001; Zbl 1200.35196) Full Text: DOI
Gesztesy, Fritz; Makarov, Konstantin A. The \(\Xi\) operator and its relation to Krein’s spectral shift function. (English) Zbl 0964.47013 J. Anal. Math. 81, 139-183 (2000). Reviewer: M.Turinici (Iaşi) MSC: 47B15 47B40 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{K. A. Makarov}, J. Anal. Math. 81, 139--183 (2000; Zbl 0964.47013) Full Text: DOI arXiv
Levin, Daniel; Solomyak, Michael The Rozenblum-Lieb-Cwikel inequality for Markov generators. (English) Zbl 0910.47017 J. Anal. Math. 71, 173-193 (1997). Reviewer: M.Perelmuter (Kyïv) MSC: 47B25 PDFBibTeX XMLCite \textit{D. Levin} and \textit{M. Solomyak}, J. Anal. Math. 71, 173--193 (1997; Zbl 0910.47017) Full Text: DOI
Netrusov, Y.; Weidl, T. On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers. (English) Zbl 0865.47033 Commun. Math. Phys. 182, No. 2, 355-370 (1996). MSC: 47F05 PDFBibTeX XMLCite \textit{Y. Netrusov} and \textit{T. Weidl}, Commun. Math. Phys. 182, No. 2, 355--370 (1996; Zbl 0865.47033) Full Text: DOI
Solomyak, M. Piecewise-polynomial approximation of functions from \(H^ \ell((0,1)^ d)\), \(2\ell=d\), and applications to the spectral theory of the Schrödinger operator. (English) Zbl 0803.47045 Isr. J. Math. 86, No. 1-3, 253-275 (1994). MSC: 47F05 46E35 35J10 35P15 PDFBibTeX XMLCite \textit{M. Solomyak}, Isr. J. Math. 86, No. 1--3, 253--275 (1994; Zbl 0803.47045) Full Text: DOI
Tamura, Hideo Asymptotic formulas with sharp remainder estimates for bound states of Schrödinger operators. I. (English) Zbl 0501.35063 J. Anal. Math. 40, 166-182 (1981). MSC: 35P20 35J10 PDFBibTeX XMLCite \textit{H. Tamura}, J. Anal. Math. 40, 166--182 (1981; Zbl 0501.35063) Full Text: DOI
Schechter, Martin Nonhomogeneous elliptic systems and scattering. (English) Zbl 0315.35070 Tohoku Math. J., II. Ser. 27, 601-616 (1975). MSC: 35P25 35B20 47A40 35J45 PDFBibTeX XMLCite \textit{M. Schechter}, Tôhoku Math. J. (2) 27, 601--616 (1975; Zbl 0315.35070) Full Text: DOI
Schechter, M. The spectra of non-elliptic operators. (English) Zbl 0184.32902 Isr. J. Math. 6(1968), 384-397 (1969). PDFBibTeX XMLCite \textit{M. Schechter}, Isr. J. Math. 6, 384--397 (1969; Zbl 0184.32902) Full Text: DOI
Weidmann, J. Zur Spektraltheorie von Sturm-Liouville-Operatoren. (German) Zbl 0168.12301 Math. Z. 98, 268-302 (1967). PDFBibTeX XMLCite \textit{J. Weidmann}, Math. Z. 98, 268--302 (1967; Zbl 0168.12301) Full Text: DOI EuDML
Jörgens, Konrad Zur Spektraltheorie der Schrödinger-Operatoren. (German) Zbl 0163.13601 Math. Z. 96, 355-372 (1967). PDFBibTeX XMLCite \textit{K. Jörgens}, Math. Z. 96, 355--372 (1967; Zbl 0163.13601) Full Text: DOI EuDML
Schechter, M. Basic theory of Fredholm operators. (English) Zbl 0145.39105 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 21, 261-280 (1967). PDFBibTeX XMLCite \textit{M. Schechter}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 21, 261--280 (1967; Zbl 0145.39105) Full Text: Numdam EuDML