Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Spectral analysis and asymptotic methods for scalar and matrix difference operators

2013/09/B/ST1/04319

Keywords:

spectral analysis spectrum essential spectrum point spectrum absolutely continuous spectrum difference equations asymptotic methods discrete systems scalar and block Jacobi matrices Jacobi matrices on trees multidimensional Jacobi matrices non-self-adjoint Jacobi operators orthogonal polynomials WKB method

Descriptors:

  • ST1_8: Analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Jan Janas 

Number of co-investigators in the project: 5

Call: OPUS 5 - announced on 2013-03-15

Amount awarded: 377 180 PLN

Project start date (Y-m-d): 2014-03-11

Project end date (Y-m-d): 2017-12-10

Project duration:: 45 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer stacjonarny Apple MF883PL/A IMAC 21.
  2. Szybkie notebooki z dużym twardym dyskiem (3 szt.) (15 000 PLN)

Information in the final report

  • Publication in academic press/journals (11)
  1. Green matrix estimates of block Jacobi matrices I: Unbounded gap in the essential spectrum
    Authors:
    Jan Janas, Sergey Naboko, Luis O. Silva
    Academic press:
    IEOT (Integral Equations and Operator Theory) (rok: 2018, tom: 3,78402777777778, strony: xx-xxx), Wydawca: Birkhäuser Basel
    Status:
    Published
    DOI:
    10.1007/s00020-018-2476-0 - link to the publication
  2. The essential spectrum of some unbounded Jacobi Matrices: a generalization of Last-Simon approach
    Authors:
    A. Boutet de Monvel, J. Janas, S. Naboko
    Academic press:
    JAT (Journal of ApproximationTheory) (rok: 2018, tom: 227, strony: 51- 69), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2017.12.002 - link to the publication
  3. ASYMPTOTICS OF THE DISCRETE SPECTRUM FOR COMPLEX JACOBI MATRICES
    Authors:
    Malejki Maria
    Academic press:
    Opuscula Mathematica (rok: 2014, tom: 34, strony: 139-160), Wydawca: AGH University of Science and Technology Pres
    Status:
    Published
    DOI:
    10.7494/OpMath.2014.34.1.13 - link to the publication
  4. Egenvalues for Perturbed Periodic Jacobi Matrices by Wigner-von Neumann Approach
    Authors:
    E. Judge, S. Naboko, I. Wood
    Academic press:
    Integral Equations and Operator Theory (rok: 2016, tom: 85, strony: 427-450), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00020-016-2302-5 - link to the publication
  5. Eigenvalues for some complex infinite tridiagonal matrices
    Authors:
    Maria Malejki
    Academic press:
    JAMCS (British Journal of Advances in Mathematics and Computer Science) (rok: 2018, tom: 26 (5), strony: 45300), Wydawca: Ms. M. B. Mondal/SCIENCEDOMAIN international
    Status:
    Published
    DOI:
    10.9734/JAMCS/2018/39654 - link to the publication
  6. "Uni-asymptotic linear systems and Jacobi operators" (pierwotny tytuł został zmieniony)
    Authors:
    Marcin Moszyński
    Academic press:
    Integral Equations and Operator Theory , Wydawca: Birkhauser / Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00020-019-2522-6 - link to the publication
  7. Non- SVEP, right-inversion point spectrum and chaos
    Authors:
    Marcin Moszyński
    Academic press:
    Integral Equations and Operator Theory (rok: 2017, tom: 88, strony: 45304), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00020-017-2359-9 - link to the publication
  8. THE FINITE SECTION METHOD FOR DISSIPATIVE OPERATORS
    Authors:
    Marletta Marco; Naboko Sergey
    Academic press:
    Mathematika (rok: 2014, tom: 60, strony: 415-443), Wydawca: University College London
    Status:
    Published
    DOI:
    10.1112/S0025579314000126 - link to the publication
  9. On the Instability of the Essential Spectrum for Block Jacobi Matrices
    Authors:
    S. Kupin, S. Naboko
    Academic press:
    Constructive Approximation (rok: 2018, tom: 48 no 3, strony: 473–500), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-018-9436-4 - link to the publication
  10. On the point spectrum of periodic Jacobi matrices with matrix entries:elementary approach
    Authors:
    J.Janas i S.Naboko
    Academic press:
    J.Difference Equ. Appl. (rok: 2015, tom: 21, strony: 1103-1118), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2015.1066341 - link to the publication
  11. On a problem in eigenvalue perturbation theory
    Authors:
    F.Gesztesy, S.Naboko, R.Nichols
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 428, strony: 295-305), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.imaa.2015.03.018 - link to the publication

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