N. Filonov

400 total citations
36 papers, 179 citations indexed

About

N. Filonov is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, N. Filonov has authored 36 papers receiving a total of 179 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Mathematical Physics, 20 papers in Computational Theory and Mathematics and 17 papers in Applied Mathematics. Recurrent topics in N. Filonov's work include Spectral Theory in Mathematical Physics (24 papers), Advanced Mathematical Modeling in Engineering (19 papers) and Numerical methods in inverse problems (14 papers). N. Filonov is often cited by papers focused on Spectral Theory in Mathematical Physics (24 papers), Advanced Mathematical Modeling in Engineering (19 papers) and Numerical methods in inverse problems (14 papers). N. Filonov collaborates with scholars based in Russia, United States and United Kingdom. N. Filonov's co-authors include A. V. Sobolev, Alexander Pushnitski, Frédéric Klopp, Michael Levitin, Iosif Polterovich, Yu. Safarov, M. Sh. Birman, Alexander V. Sobolev, Artem Prokhorov and Μ. I. Belishev and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

N. Filonov

30 papers receiving 161 citations

Peers

N. Filonov

CTM

SNP

AMPO

Ian Wood United Kingdom

James B. Kennedy Portugal

Yu. Safarov United Kingdom

R. Mennicken Germany

A. G. Kostyuchenko Russia

Sergii M. Torba Mexico

Johannes F. Brasche Germany

Leonid Parnovski United Kingdom

Eduard Tsekanovskiı̆ United States

Hikmet Koyunbakan Türkiye

Ian Wood United Kingdom

N. Filonov

124 ×0.9

113 ×1.0

CTM

60 ×0.9

11 ×0.5

SNP

15 ×0.8

AMPO

Citations per year, relative to N. Filonov N. Filonov (= 1×) peers Ian Wood

Countries citing papers authored by N. Filonov

Since Specialization

Citations

This map shows the geographic impact of N. Filonov's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by N. Filonov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites N. Filonov more than expected).

Fields of papers citing papers by N. Filonov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by N. Filonov. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by N. Filonov. The network helps show where N. Filonov may publish in the future.

Co-authorship network of co-authors of N. Filonov

This figure shows the co-authorship network connecting the top 25 collaborators of N. Filonov. A scholar is included among the top collaborators of N. Filonov based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with N. Filonov. N. Filonov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Filonov, N., et al.. (2024). Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk. Journal of Spectral Theory. 14(2). 597–618. 1 indexed citations

Filonov, N., et al.. (2024). On Spectral Bands of Discrete Periodic Operators. Communications in Mathematical Physics. 405(2). 1 indexed citations

Filonov, N., et al.. (2024). Uniform Enclosures for the Phase and Zeros of Bessel Functions and their Derivatives. SIAM Journal on Mathematical Analysis. 56(6). 7644–7682.

Filonov, N., et al.. (2023). Pólya’s conjecture for Euclidean balls. Inventiones mathematicae. 234(1). 129–169. 11 indexed citations

Filonov, N.. (2021). Schrödinger operator with decreasing potential in a cylinder. St Petersburg Mathematical Journal. 33(1). 155–178.

Filonov, N., et al.. (2020). Абсолютная непрерывность спектра периодического оператора Шрeдингера в цилиндре с третьим краевым условием. Функциональный анализ и его приложения. 54(2). 48–57. 1 indexed citations

Belishev, Μ. I., et al.. (2020). On uniqueness of continuation for polynomials of solutions to second-order elliptic PDE. Applicable Analysis. 101(10). 3689–3696.

Filonov, N.. (2019). Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable. St Petersburg Mathematical Journal. 30(3). 545–572. 1 indexed citations

Filonov, N.. (2019). Number of Nonzero Cubic Sums. Journal of Mathematical Sciences. 242(4). 575–585. 1 indexed citations

10.

Filonov, N., et al.. (2018). Mathematical Analysis in Fluid Mechanics. Contemporary mathematics - American Mathematical Society. 3 indexed citations

11.

Filonov, N.. (2016). Uniqueness of the Leray-Hopf solution for a dyadic model. Transactions of the American Mathematical Society. 369(12). 8663–8684. 4 indexed citations

12.

Filonov, N. & Alexander V. Sobolev. (2015). On the spectrum of an "even" periodic Schrödinger operator with a rational magnetic flux. Journal of Spectral Theory. 5(2). 381–398. 2 indexed citations

13.

Filonov, N.. (2013). Weyl asymptotics for the spectrum of the Maxwell operator in Lipschitz domains of arbitrary dimension. St Petersburg Mathematical Journal. 25(1). 117–149. 2 indexed citations

14.

Filonov, N. & Yu. Safarov. (2011). On the relation between an operator and its self-commutator. Journal of Functional Analysis. 260(10). 2902–2932. 3 indexed citations

15.

Safarov, Yu. & N. Filonov. (2010). Asymptotic estimates of the difference between the Dirichlet and Neumann counting functions. Functional Analysis and Its Applications. 44(4). 286–294. 1 indexed citations

16.

Filonov, N., et al.. (2010). Асимптотические оценки разности считающих функций задач Дирихле и Неймана. Функциональный анализ и его приложения. 44(4). 54–64.

17.

Filonov, N. & Alexander Pushnitski. (2006). Spectral Asymptotics of Pauli Operators and Orthogonal Polynomials in Complex Domains. Communications in Mathematical Physics. 264(3). 759–772. 15 indexed citations

18.

Filonov, N. & Frédéric Klopp. (2005). Absolutely Continuous Spectrum for the Isotropic Maxwell Operator with Coefficients that are Periodic in Some Directions and Decay in Others. Communications in Mathematical Physics. 258(1). 75–85. 2 indexed citations

19.

Filonov, N. & Frédéric Klopp. (2004). Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. Documenta Mathematica. 9. 107–121. 5 indexed citations

20.

Filonov, N.. (2001). Second-Order Elliptic Equation of Divergence Form Having a Compactly Supported Solution. Journal of Mathematical Sciences. 106(3). 3078–3086. 19 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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