RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2004, Volume 318, Pages 298–307 (Mi znsl711)

Absence of the singular continuous component in the spectrum of analytic direct integrals
N. Filonov, A. V. Sobolev

This publication is cited in the following articles:
  1. L. I. Danilov, “On the spectrum of the Landau Hamiltonian perturbed by a periodic smooth electric potential”, Theoret. and Math. Phys., 221:3 (2024), 2165–2176  mathnet  crossref  crossref
  2. L. I. Danilov, “On the spectrum of the Landau Hamiltonian perturbed by a periodic electric potential”, Sb. Math., 214:12 (2023), 1721–1750  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  3. N. D. Filonov, “Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables”, St. Petersburg Math. J., 32:1 (2021), 139–154  mathnet  crossref  isi  elib
  4. L. I. Danilov, “O spektre gamiltoniana Landau s periodicheskim elektricheskim potentsialom $V\in L^p_{\mathrm {loc}}(\mathbb{R}^2)$, $p>1$”, Izv. IMI UdGU, 55 (2020), 42–59  mathnet  crossref  elib
  5. Mamani C.R., Verri A.A., “A Note on the Spectrum of the Neumann Laplacian in Thin Periodic Waveguides”, Colloq. Math., 162:2 (2020), 211–234  crossref  mathscinet  isi  scopus
  6. M. V. Platonova, K. S. Ryadovkin, “Branching random walks on $\mathbf{Z}^d$ with periodic branching sources”, Theory Probab. Appl., 64:2 (2019), 229–248  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  7. L. I. Danilov, “O spektre relyativistskogo gamiltoniana Landau s periodicheskim elektricheskim potentsialom”, Izv. IMI UdGU, 54 (2019), 3–26  mathnet  crossref  elib
  8. Pavel Exner, Tomáš Kalvoda, Matěj Tušek, “A geometric Iwatsuka type effect in quantum layers”, Journal of Mathematical Physics, 59:4 (2018), 042105  crossref
  9. Pavel Exner, Vladimir Lotoreichik, Axel Pérez-Obiol, “On the Bound States of Magnetic Laplacians on Wedges”, Reports on Mathematical Physics, 82:2 (2018), 161  crossref
  10. N. Filonov, “Absolute continuity of 2D Schrödinger operator with partially periodic coefficients”, St. Petersburg Math. J., 29:2 (2018), 383–398  mathnet  crossref  mathscinet  isi  elib
  11. A. O. Prokhorov, N. D. Filonov, “The Maxwell operator with periodic coefficients in a cylinder”, St. Petersburg Math. J., 29:6 (2018), 997–1006  mathnet  crossref  mathscinet  isi  elib
  12. L. I. Danilov, “O spektre periodicheskogo magnitnogo operatora Diraka”, Izv. IMI UdGU, 2016, no. 2(48), 3–21  mathnet  elib
  13. Kuchment P., “An overview of periodic elliptic operators”, Bull. Amer. Math. Soc., 53:3 (2016), 343–414  crossref  mathscinet  zmath  isi  elib  scopus
  14. Matěj Tušek, “On an extension of the Iwatsuka model”, J. Phys. A: Math. Theor., 49:36 (2016), 365205  crossref
  15. Filonov N.D., Sobolev A.V., “on the Spectrum of An “Even” Periodic Schrodinger Operator With a Rational Magnetic Flux”, J. Spectr. Theory, 5:2 (2015), 381–398  crossref  mathscinet  zmath  isi  elib  scopus
  16. L. I. Danilov, “O spektre dvumernogo obobschennogo periodicheskogo operatora Shredingera. II”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2014, no. 2, 3–28  mathnet
  17. Vu Hoang, Maria Radosz, “Absence of bound states for waveguides in two-dimensional periodic structures”, Journal of Mathematical Physics, 55:3 (2014)  crossref
  18. L. I. Danilov, “O spektre periodicheskogo operatora Shredingera s potentsialom iz prostranstva Morri”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 3, 25–47  mathnet
  19. Hempel R., Kohlmann M., “A variational approach to dislocation problems for periodic Schrodinger operators”, J Math Anal Appl, 381:1 (2011), 166–178  crossref  mathscinet  zmath  isi  elib  scopus
  20. Danilov L.I., “On Absolute Continuity of the Spectrum of a 3D Periodic Magnetic Dirac Operator”, Integral Equations Operator Theory, 71:4 (2011), 535–556  crossref  mathscinet  zmath  isi  elib  scopus
  21. Danilov L.I., “On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator”, J. Phys. A, 42:27 (2009), 275204, 20 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  22. L. I. Danilov, “Absolyutnaya nepreryvnost spektra mnogomernogo periodicheskogo magnitnogo operatora Diraka”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2008, no. 1, 61–96  mathnet
  23. Mantoiu M., Richard S., de Aldecoa R.T., “Spectral analysis for adjacency operators on graphs”, Ann Henri Poincaré, 8:7 (2007), 1401–1423  crossref  mathscinet  zmath  adsnasa  isi  scopus
  24. Frank R.L., Shterenberg R.G., “On the spectrum of partially periodic operators”, Operator Theory, Analysis and Mathematical Physics, Operator Theory : Advances and Applications, 174, 2007, 35–50  crossref  mathscinet  zmath  isi
  25. Murata M., Tsuchida T., “Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients”, J Math Kyoto Univ, 46:4 (2006), 713–754  crossref  mathscinet  zmath  isi  scopus
  26. L. I. Danilov, “Ob absolyutnoi nepreryvnosti spektra trekhmernogo periodicheskogo operatora Diraka”, Izv. IMI UdGU, 2006, no. 1(35), 49–76  mathnet


© Steklov Math. Inst. of RAS, 2025