Alexei Poltoratski

541 total citations
26 papers, 126 citations indexed

About

Alexei Poltoratski is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Alexei Poltoratski has authored 26 papers receiving a total of 126 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Applied Mathematics, 16 papers in Mathematical Physics and 5 papers in Computational Theory and Mathematics. Recurrent topics in Alexei Poltoratski's work include Holomorphic and Operator Theory (11 papers), Spectral Theory in Mathematical Physics (11 papers) and Advanced Harmonic Analysis Research (9 papers). Alexei Poltoratski is often cited by papers focused on Holomorphic and Operator Theory (11 papers), Spectral Theory in Mathematical Physics (11 papers) and Advanced Harmonic Analysis Research (9 papers). Alexei Poltoratski collaborates with scholars based in United States, Russia and France. Alexei Poltoratski's co-authors include Christian Remling, Nikolai Makarov, Peter W. Jones, В. М. Капустин, Maxim Zinchenko, Rafael del Río, Barry Simon, Alexander Volberg, Evgeny Abakumov and Anton Baranov and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Alexei Poltoratski

22 papers receiving 119 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexei Poltoratski United States 7 95 79 31 16 11 26 126
Yury Arlinskii̇̆ Ukraine 7 90 0.9× 120 1.5× 89 2.9× 7 0.4× 6 0.5× 25 149
Isroil A. Ikromov Uzbekistan 8 140 1.5× 101 1.3× 29 0.9× 17 1.1× 36 3.3× 38 183
Xiaochun Li United States 9 187 2.0× 132 1.7× 21 0.7× 7 0.4× 15 1.4× 20 224
A. Eduardo Gatto United States 8 225 2.4× 145 1.8× 29 0.9× 4 0.3× 26 2.4× 16 243
Andrew Raich United States 10 147 1.5× 76 1.0× 29 0.9× 3 0.2× 33 3.0× 35 182
Radosław K. Wojciechowski United States 5 103 1.1× 106 1.3× 68 2.2× 7 0.4× 80 7.3× 9 170
Cyril Tintarev Sweden 8 159 1.7× 93 1.2× 93 3.0× 5 0.3× 18 1.6× 20 171
Galia Dafni Canada 8 270 2.8× 173 2.2× 33 1.1× 4 0.3× 16 1.5× 25 279
Maria Vallarino Italy 10 235 2.5× 174 2.2× 10 0.3× 9 0.6× 8 0.7× 37 246
Jong-Guk Bak South Korea 9 160 1.7× 115 1.5× 30 1.0× 2 0.1× 9 0.8× 22 182

Countries citing papers authored by Alexei Poltoratski

Since Specialization
Citations

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

Fields of papers citing papers by Alexei Poltoratski

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexei Poltoratski. 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 Alexei Poltoratski. The network helps show where Alexei Poltoratski may publish in the future.

Co-authorship network of co-authors of Alexei Poltoratski

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

All Works

20 of 20 papers shown
1.
Poltoratski, Alexei. (2024). Pointwise convergence of the non-linear Fourier transform. Annals of Mathematics. 199(2).
2.
Poltoratski, Alexei, et al.. (2023). Periodic approximations in inverse spectral problems for canonical Hamiltonian systems. Journal of Functional Analysis. 284(11). 109883–109883.
3.
Poltoratski, Alexei. (2019). TOEPLITZ METHODS IN COMPLETENESS AND SPECTRAL PROBLEMS. 1753–1778. 1 indexed citations
4.
Poltoratski, Alexei. (2018). Toeplitz order. Journal of Functional Analysis. 275(3). 660–697.
5.
Baranov, Anton, et al.. (2016). De Branges functions of Schroedinger equations. Collectanea mathematica. 68(2). 251–263. 4 indexed citations
6.
Poltoratski, Alexei. (2015). Toeplitz Approach to Problems of the Uncertainty Principle. 10 indexed citations
7.
Poltoratski, Alexei, et al.. (2015). On the determinacy problem for measures. Inventiones mathematicae. 202(3). 1241–1267. 1 indexed citations
8.
Poltoratski, Alexei. (2012). Spectral gaps for sets and measures. Acta Mathematica. 208(1). 151–209. 9 indexed citations
9.
Poltoratski, Alexei, Barry Simon, & Maxim Zinchenko. (2010). The Hilbert transform of a measure. Journal d Analyse Mathématique. 111(1). 247–265. 7 indexed citations
10.
Poltoratski, Alexei, et al.. (2010). Pólya sequences, Toeplitz kernels and gap theorems. Advances in Mathematics. 224(3). 1057–1070. 10 indexed citations
11.
Poltoratski, Alexei & Christian Remling. (2008). Reflectionless Herglotz Functions and Jacobi Matrices. Communications in Mathematical Physics. 288(3). 1007–1021. 15 indexed citations
12.
Abakumov, Evgeny & Alexei Poltoratski. (2008). PSEUDOCONTINUATION AND CYCLICITY FOR RANDOM POWER SERIES. Journal of the Institute of Mathematics of Jussieu. 7(3). 413–424. 1 indexed citations
13.
Капустин, В. М. & Alexei Poltoratski. (2006). Boundary convergence of vector-valued pseudocontinuable functions. Journal of Functional Analysis. 238(1). 313–326. 6 indexed citations
14.
Jones, Peter W. & Alexei Poltoratski. (2004). ASYMPTOTIC GROWTH OF CAUCHY TRANSFORMS. Annales Academiae Scientiarum Fennicae Mathematica. 29(1). 99–120. 5 indexed citations
15.
Poltoratski, Alexei. (2003). Images of non-tangential sectors under Cauchy transforms. Journal d Analyse Mathématique. 89(1). 385–395. 4 indexed citations
16.
Río, Rafael del, et al.. (2002). COEXISTENCE OF SPECTRA IN RANK-ONE PERTURBATION PROBLEMS. Boletín de la Sociedad Matemática Mexicana. 8(1). 49–61. 5 indexed citations
17.
Poltoratski, Alexei. (2001). Properties of exposed points in the unit ball of H^1. Indiana University Mathematics Journal. 50(4). 1789–1806. 6 indexed citations
18.
Poltoratski, Alexei. (2001). Survival Probability¶in Rank-One Perturbation Problems. Communications in Mathematical Physics. 223(1). 205–222. 2 indexed citations
19.
Poltoratski, Alexei. (1997). . International Mathematics Research Notices. 1997(9). 421–421. 3 indexed citations
20.
Poltoratski, Alexei. (1996). On the distributions of boundary values of Cauchy integrals. Proceedings of the American Mathematical Society. 124(8). 2455–2463. 9 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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