N. Filonov

发表

Absence of the singular continuous component in spectra of analytic direct integrals

A. Sobolev, N. Filonov, 2006 .

Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder

N. Filonov, I. Kachkovskiy, 2010, 1011.1394.

On the P\'olya conjecture for circular sectors and for balls

N. Filonov, 2022, 2208.03463.

On the P\'olya conjecture for the Neumann problem in tiling sets

N. Filonov, 2020, 2006.10663.

Number of Nonzero Cubic Sums

N. Filonov, 2019, Journal of Mathematical Sciences.

Regularity of Electromagnetic Fields in Convex Domains

N. Filonov, A. Prokhorov, 2015, Journal of Mathematical Sciences.

Absolutely Continuous Spectrum for the Isotropic Maxwell Operator with Coefficients that are Periodic in Some Directions and Decay in Others

F. Klopp, N. Filonov, 2004, math-ph/0406045.

The absence of eigenvalues for certain operators with partially periodic coefficients

N. Filonov, 2022, St. Petersburg Mathematical Journal.

Schrödinger operator with decreasing potential in a cylinder

N. Filonov, 2021, St. Petersburg Mathematical Journal.

Erratum to the paper “Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others”

F. Klopp, N. Filonov, 2004, Documenta Mathematica.

Spectral Asymptotics of Pauli Operators and Orthogonal Polynomials in Complex Domains

A. Pushnitski, N. Filonov, 2006 .

Uniqueness of the Leray-Hopf solution for a dyadic model

N. Filonov, 2015, 1506.07480.

Regularity of Electromagnetic Fields in Convex Domains

N. Filonov, A. Prokhorov, 2015, 1501.07081.

Absolute continuity of the Schrödinger operator spectrum in a multidimensional cylinder

N. Filonov, I. Kachkovskiĭ, 2009 .

On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator

N. Filonov, N. Filonov, 2005 .

Gaps in the Spectrum of the Maxwell Operator with Periodic Coefficients

N. Filonov, 2003 .

The Operator Rot in Domains of Finite Measure

N. Filonov, 2002 .

On the spectrum of an "even" periodic Schroedinger operator with a rational magnetic flux

A.V.Sobolev, N. Filonov, 2013, 1308.5323.

Absolute continuity of the “even" periodic Schrödinger operator with nonsmooth coefficients

N. Filonov, M. Tikhomirov, 2005 .

Weyl asymptotics for the spectrum of the Maxwell operator in Lipschitz domains of arbitrary dimension

N. Filonov, 2013 .

Nonuniqueness of Leray–Hopf solutions for a dyadic model

N. Filonov, P. Khodunov, 2021, St. Petersburg Mathematical Journal.

On the regularity of solutions to the equation $$ -\varDelta u+b\nabla \cdot u=0 $$

N. Filonov, 2013 .

On the P\'olya conjecture for circular sectors and for balls

N. Filonov, 2022, 2208.03463.