A. V. Sobolev

572 total citations
18 papers, 370 citations indexed

About

A. V. Sobolev is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, A. V. Sobolev has authored 18 papers receiving a total of 370 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Mathematical Physics, 12 papers in Computational Theory and Mathematics and 3 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in A. V. Sobolev's work include Spectral Theory in Mathematical Physics (13 papers), Advanced Mathematical Modeling in Engineering (7 papers) and Numerical methods in inverse problems (5 papers). A. V. Sobolev is often cited by papers focused on Spectral Theory in Mathematical Physics (13 papers), Advanced Mathematical Modeling in Engineering (7 papers) and Numerical methods in inverse problems (5 papers). A. V. Sobolev collaborates with scholars based in United Kingdom, Russia and France. A. V. Sobolev's co-authors include M. A. Krasnosel’skii, D. R. Yafaev, N. Filonov and M. M. Skriganov and has published in prestigious journals such as Communications in Mathematical Physics, Functional Analysis and Its Applications and Siberian Mathematical Journal.

In The Last Decade

A. V. Sobolev

14 papers receiving 303 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
A. V. Sobolev United Kingdom	7	224	154	100	78	59	18	370
Jiangang Qi China	12	279 1.2×	156 1.0×	216 2.2×	82 1.1×	22 0.4×	55	392
Joachim von Below France	11	253 1.1×	258 1.7×	108 1.1×	70 0.9×	20 0.3×	29	467
Marcello Lucia United States	12	125 0.6×	220 1.4×	267 2.7×	48 0.6×	13 0.2×	45	376
Po-Fang Hsieh United States	6	64 0.3×	74 0.5×	71 0.7×	63 0.8×	29 0.5×	17	243
V. D. Koshmanenko Ukraine	11	301 1.3×	202 1.3×	69 0.7×	161 2.1×	31 0.5×	75	467
Jorge Ize Mexico	11	94 0.4×	63 0.4×	99 1.0×	121 1.6×	21 0.4×	22	351
Seog-Hoon Rim South Korea	14	140 0.6×	51 0.3×	359 3.6×	109 1.4×	29 0.5×	94	906
Marco Biroli Italy	11	178 0.8×	189 1.2×	287 2.9×	41 0.5×	10 0.2×	58	440
Joseph G. Conlon United States	10	126 0.6×	40 0.3×	63 0.6×	74 0.9×	88 1.5×	41	289
Eugenio Montefusco Italy	13	415 1.9×	253 1.6×	404 4.0×	143 1.8×	20 0.3×	25	598

Countries citing papers authored by A. V. Sobolev

Since Specialization

Citations

This map shows the geographic impact of A. V. Sobolev'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 A. V. Sobolev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. V. Sobolev more than expected).

Fields of papers citing papers by A. V. Sobolev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. V. Sobolev. 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 A. V. Sobolev. The network helps show where A. V. Sobolev may publish in the future.

Co-authorship network of co-authors of A. V. Sobolev

This figure shows the co-authorship network connecting the top 25 collaborators of A. V. Sobolev. A scholar is included among the top collaborators of A. V. Sobolev 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 A. V. Sobolev. A. V. Sobolev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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18 of 18 papers shown

Sobolev, A. V.. (2021). On the Spectrum of the One-Particle Density Matrix. Functional Analysis and Its Applications. 55(2). 113–121. 6 indexed citations

Sobolev, A. V.. (2010). Квазиклассическая асимптотика псевдодифференциальных операторов с разрывными символами: гипотеза Видома. Функциональный анализ и его приложения. 44(4). 86–90. 2 indexed citations

Skriganov, M. M. & A. V. Sobolev. (2006). Asymptotic bounds for spectral bands of periodic Schrödinger operators. St Petersburg Mathematical Journal. 17(1). 207–216. 5 indexed citations

Skriganov, M. M. & A. V. Sobolev. (2006). On the spectrum of a limit-periodic Schrödinger operator. St Petersburg Mathematical Journal. 17(5). 815–833. 2 indexed citations

Filonov, N. & A. V. Sobolev. (2006). Absence of the singular continuous component in spectra of analytic direct integrals. Journal of Mathematical Sciences. 136(2). 3826–3831. 15 indexed citations

Sobolev, A. V.. (1993). Efficient bounds for the spectral shift function. French digital mathematics library (Numdam). 58(1). 55–83. 19 indexed citations

Sobolev, A. V.. (1993). The Efimov effect. Discrete spectrum asymptotics. Communications in Mathematical Physics. 156(1). 101–126. 111 indexed citations

Sobolev, A. V.. (1991). The asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed hill operator. Functional Analysis and Its Applications. 25(2). 162–164. 1 indexed citations

Krasnosel’skii, M. A., et al.. (1989). Positive linear systems : the method of positive operators. 173 indexed citations

10.

Sobolev, A. V. & D. R. Yafaev. (1989). Spectral properties of the scattering matrix. Functional Analysis and Its Applications. 23(3). 249–251. 15 indexed citations

11.

Sobolev, A. V.. (1988). Quasiclassical asymptotic behavior of the scattering cross section for asymptotically homogeneous potentials. Journal of Mathematical Sciences. 40(5). 652–672.

12.

Sobolev, A. V., et al.. (1987). Extension of linear o-continuous operators. Siberian Mathematical Journal. 28(1). 163–165. 2 indexed citations

13.

Sobolev, A. V. & D. R. Yafaev. (1987). Phase analysis in the problem of scattering by a radial potential. Journal of Mathematical Sciences. 37(1). 888–902. 3 indexed citations

14.

Sobolev, A. V. & D. R. Yafaev. (1986). On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. French digital mathematics library (Numdam). 44(2). 195–210. 8 indexed citations

15.

Krasnosel’skii, M. A. & A. V. Sobolev. (1983). Spectral clearance of a focusing operator. Functional Analysis and Its Applications. 17(1). 58–59. 3 indexed citations

16.

Sobolev, A. V., et al.. (1981). Definite invariant subspaces and the structure of the spectrum of a focusing plus-operator. Functional Analysis and Its Applications. 15(1). 69–70. 1 indexed citations

17.

Sobolev, A. V.. (1976). Totally positive operators. Siberian Mathematical Journal. 16(4). 636–641. 3 indexed citations

18.

Krasnosel’skii, M. A. & A. V. Sobolev. (1974). Fixed points of discontinuous operators. Siberian Mathematical Journal. 14(3). 470–473. 1 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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