Alexander Borichev

1.6k total citations · 1 hit paper
59 papers, 837 citations indexed

About

Alexander Borichev is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Alexander Borichev has authored 59 papers receiving a total of 837 indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Applied Mathematics, 27 papers in Mathematical Physics and 12 papers in Geometry and Topology. Recurrent topics in Alexander Borichev's work include Holomorphic and Operator Theory (30 papers), Meromorphic and Entire Functions (12 papers) and Algebraic and Geometric Analysis (12 papers). Alexander Borichev is often cited by papers focused on Holomorphic and Operator Theory (30 papers), Meromorphic and Entire Functions (12 papers) and Algebraic and Geometric Analysis (12 papers). Alexander Borichev collaborates with scholars based in France, Russia and Sweden. Alexander Borichev's co-authors include Yuri Tomilov, Håakan Hedenmalm, Anton Baranov, Mikhail Sodin, Karim Kellay, Nikolaï Nikolski, Leonid Golinskiĭ, Hiroaki Aikawa, Evgeny Abakumov and Alexander Volberg and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Journal of Functional Analysis.

In The Last Decade

Alexander Borichev

55 papers receiving 770 citations

Hit Papers

Optimal polynomial decay of functions and operator semigr... 2009 2026 2014 2020 2009 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Optimal polynomial decay of functions and operator semigroups
    2009 419 citations Alexander Borichev, Yuri Tomilov profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexander Borichev France 11 412 401 392 389 84 59 837
Yuri Tomilov Poland 11 497 1.2× 528 1.3× 509 1.3× 294 0.8× 90 1.1× 51 858
Ralph Chill Germany 18 315 0.8× 392 1.0× 540 1.4× 487 1.3× 26 0.3× 52 879
V. G. Zvyagin Russia 15 133 0.3× 465 1.2× 439 1.1× 458 1.2× 35 0.4× 108 777
Sergio Spagnolo Italy 14 500 1.2× 292 0.7× 360 0.9× 465 1.2× 128 1.5× 37 835
Evgeniy Pustylnik Israel 11 488 1.2× 166 0.4× 302 0.8× 743 1.9× 58 0.7× 36 1.1k
Michael Ćwikel Israel 20 688 1.7× 372 0.9× 194 0.5× 848 2.2× 33 0.4× 64 1.4k
Jürgen Appell Germany 12 365 0.9× 140 0.3× 292 0.7× 656 1.7× 33 0.4× 56 978
Sergiu Aizicovici United States 19 194 0.5× 352 0.9× 594 1.5× 868 2.2× 46 0.5× 74 1.1k
Ferruccio Colombini Italy 18 816 2.0× 397 1.0× 278 0.7× 718 1.8× 40 0.5× 90 1.1k
Sergei M Nikol'skii Russia 8 401 1.0× 83 0.2× 255 0.7× 688 1.8× 53 0.6× 81 1.0k

Countries citing papers authored by Alexander Borichev

Since Specialization
Citations

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

Fields of papers citing papers by Alexander Borichev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Borichev

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Borichev. A scholar is included among the top collaborators of Alexander Borichev 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 Alexander Borichev. Alexander Borichev 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.
Borichev, Alexander, et al.. (2020). Upper and lower densities of Gabor Gaussian systems. Applied and Computational Harmonic Analysis. 49(2). 438–450. 2 indexed citations
2.
Borichev, Alexander, et al.. (2019). Nevanlinna domains with large boundaries. Journal of Functional Analysis. 277(8). 2617–2643. 8 indexed citations
3.
Baranov, Anton, et al.. (2017). Summability properties of Gabor expansions. Journal of Functional Analysis. 274(9). 2532–2552. 5 indexed citations
4.
Baranov, Anton, et al.. (2017). Univalent functions in model spaces. arXiv (Cornell University). 1 indexed citations
5.
Borichev, Alexander, et al.. (2015). Geometric conditions for multiple sampling and interpolation in the Fock\n space. arXiv (Cornell University). 1 indexed citations
6.
Batty, C. J. K., Alexander Borichev, & Yuri Tomilov. (2015). L-tauberian theorems and L-rates for energy decay. Journal of Functional Analysis. 270(3). 1153–1201. 9 indexed citations
7.
Borichev, Alexander, et al.. (2014). Entire functions of exponential type represented by pseudo-random and\n random Taylor series. arXiv (Cornell University). 1 indexed citations
8.
Baranov, Anton, et al.. (2013). Strong M-basis property for systems of reproducing kernels in de Branges spaces. arXiv (Cornell University). 1 indexed citations
9.
Baranov, Anton, et al.. (2013). Hereditary completeness for systems of exponentials and reproducing kernels. Advances in Mathematics. 235. 525–554. 13 indexed citations
10.
Baranov, Anton, et al.. (2012). A restricted shift completeness problem. Journal of Functional Analysis. 263(7). 1887–1893. 2 indexed citations
11.
Borichev, Alexander, et al.. (2011). Operator Theory and Harmonic Analysis. Oberwolfach Reports. 7(4). 2813–2875. 7 indexed citations
12.
Borichev, Alexander & Mikhail Sodin. (2010). Weighted exponential approximation and non-classical orthogonal spectral\n measures. arXiv (Cornell University). 6 indexed citations
13.
Borichev, Alexander, Karlheinz Gröchenig, & Yurii Lyubarskii. (2010). Frame constants of Gabor frames near the critical density. Journal de Mathématiques Pures et Appliquées. 94(2). 170–182. 7 indexed citations
14.
Borichev, Alexander, et al.. (2010). Radial growth of functions in the Korenblum space. St Petersburg Mathematical Journal. 21(6). 877–877. 2 indexed citations
15.
Borichev, Alexander, et al.. (2006). Sampling and interpolation in large Bergman and Fock spaces. Journal of Functional Analysis. 242(2). 563–606. 43 indexed citations
16.
Borichev, Alexander, Håakan Hedenmalm, & Alexander Volberg. (2003). Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index. Journal of Functional Analysis. 207(1). 111–160. 6 indexed citations
17.
Borichev, Alexander & Н. К. Никольский. (2001). Systems, Approximation, Singular Integral Operators, and Related Topics : International Workshop on Operator Theory and Applications, IWOTA 2000. Birkhäuser-Verlag eBooks. 1 indexed citations
18.
Borichev, Alexander. (2000). On weighted polynomial approximation with monotone weights. Proceedings of the American Mathematical Society. 128(12). 3613–3619. 4 indexed citations
19.
Borichev, Alexander & Håakan Hedenmalm. (1997). Harmonic functions of maximal growth: invertibility and cyclicity in Bergman spaces. Journal of the American Mathematical Society. 10(4). 761–796. 15 indexed citations
20.
Borichev, Alexander & Håakan Hedenmalm. (1993). Approximation in a Class of Banach Algebras of Quasianalytically Smooth Analytic Functions. Journal of Functional Analysis. 115(2). 359–390. 4 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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