Sergei Treil

3.0k total citations
53 papers, 1.2k citations indexed

About

Sergei Treil is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Sergei Treil has authored 53 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Applied Mathematics, 32 papers in Mathematical Physics and 7 papers in Computational Theory and Mathematics. Recurrent topics in Sergei Treil's work include Holomorphic and Operator Theory (37 papers), Advanced Harmonic Analysis Research (25 papers) and Spectral Theory in Mathematical Physics (15 papers). Sergei Treil is often cited by papers focused on Holomorphic and Operator Theory (37 papers), Advanced Harmonic Analysis Research (25 papers) and Spectral Theory in Mathematical Physics (15 papers). Sergei Treil collaborates with scholars based in United States, France and United Kingdom. Sergei Treil's co-authors include Alexander Volberg, Fëdor Nazarov, Stefanie Petermichl, Sandra Pott, Gilles Pisier, T. A. Gillespie, Dechao Zheng, Brett D. Wick, Nikolaï Nikolski and Carlos Pérez and has published in prestigious journals such as IEEE Transactions on Automatic Control, Advances in Mathematics and Journal of Functional Analysis.

In The Last Decade

Sergei Treil

51 papers receiving 1.1k citations

Peers

Sergei Treil
Andreas Seeger United States
Mario Milman United States
Gérard Bourdaud France
Florian-Horia Vasilescu France
Luca Brandolini Italy
Н. К. Никольский Russia
Eric T. Sawyer Canada
Javier Duoandikoetxea Spain
D. H. Armitage United Kingdom
Petr Habala Czechia
Andreas Seeger United States
Sergei Treil
Citations per year, relative to Sergei Treil Sergei Treil (= 1×) peers Andreas Seeger

Countries citing papers authored by Sergei Treil

Since Specialization
Citations

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

Fields of papers citing papers by Sergei Treil

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Sergei Treil

This figure shows the co-authorship network connecting the top 25 collaborators of Sergei Treil. A scholar is included among the top collaborators of Sergei Treil 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 Sergei Treil. Sergei Treil 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.
Treil, Sergei, et al.. (2023). Preservation of absolutely continuous spectrum for contractive operators. St Petersburg Mathematical Journal. 34(3). 483–496. 1 indexed citations
2.
Treil, Sergei, et al.. (2018). General Clark model for finite-rank perturbations. Analysis & PDE. 12(2). 449–492. 4 indexed citations
3.
Domelevo, Komla, et al.. (2018). On the failure of lower square function estimates in the non-homogeneous weighted setting. Mathematische Annalen. 374(3-4). 1923–1952. 2 indexed citations
4.
Treil, Sergei, et al.. (2017). Two weight L estimates for paraproducts in non-homogeneous settings. Journal of Functional Analysis. 275(1). 45–72.
5.
Nazarov, Fëdor, Stefanie Petermichl, Sergei Treil, & Alexander Volberg. (2017). Convex body domination and weighted estimates with matrix weights. Advances in Mathematics. 318. 279–306. 27 indexed citations
6.
Thiele, Christoph, Sergei Treil, & Alexander Volberg. (2015). Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces. Advances in Mathematics. 285. 1155–1188. 8 indexed citations
7.
Douglas, Ronald G., et al.. (2013). Similarity of n-hypercontractions and backward Bergman shifts. Journal of the London Mathematical Society. 88(3). 637–648. 9 indexed citations
8.
Treil, Sergei, et al.. (2009). Rank one perturbations and singular integral operators. Journal of Functional Analysis. 257(6). 1947–1975. 9 indexed citations
9.
Treil, Sergei. (2007). The problem of ideals ofH∞: Beyond the exponent 3/2. Journal of Functional Analysis. 253(1). 220–240. 7 indexed citations
10.
Sasane, Amol & Sergei Treil. (2007). Estimates in corona theorems for some subalgebras of H∞. Arkiv för matematik. 45(2). 351–380. 1 indexed citations
11.
Treil, Sergei, et al.. (2007). Scalar and vector Muckenhoupt weights. Indiana University Mathematics Journal. 56(4). 1989–2015. 4 indexed citations
12.
Treil, Sergei & Brett D. Wick. (2005). The matrix-valued Hp corona problem in the disk and polydisk. Journal of Functional Analysis. 226(1). 138–172. 7 indexed citations
13.
Peller, Vladimir & Sergei Treil. (2005). Very badly approximable matrix functions. Selecta Mathematica. 11(1). 127–154. 2 indexed citations
14.
Treil, Sergei, et al.. (2003). Common complements of two subspaces of a Hilbert space. Journal of Functional Analysis. 212(2). 500–512. 14 indexed citations
15.
Treil, Sergei & Alexander Volberg. (1999). Completely regular multivariate stationary processes and the Muckenhoupt condition. Pacific Journal of Mathematics. 190(2). 361–382. 6 indexed citations
16.
Treil, Sergei, et al.. (1997). Approximation by Analytic Matrix Functions: The Four Block Problem. Journal of Functional Analysis. 148(1). 191–228. 10 indexed citations
17.
Treil, Sergei & Alexander Volberg. (1997). Wavelets and the Angle between Past and Future. Journal of Functional Analysis. 143(2). 269–308. 95 indexed citations
18.
Nazarov, Fëdor, Sergei Treil, & Alexander Volberg. (1997). . International Mathematics Research Notices. 1997(15). 703–703. 100 indexed citations
19.
Treil, Sergei. (1995). On Superoptimal Approximation by Analytic and Meromorphic Matrix-Valued Functions. Journal of Functional Analysis. 131(2). 386–414. 14 indexed citations
20.
Treil, Sergei. (1992). The stable rank of the algebra H∞ equals 1. Journal of Functional Analysis. 109(1). 130–154. 42 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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