Donald Sarason

5.1k total citations · 1 hit paper
54 papers, 2.8k citations indexed

About

Donald Sarason is a scholar working on Applied Mathematics, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Donald Sarason has authored 54 papers receiving a total of 2.8k indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Applied Mathematics, 19 papers in Mathematical Physics and 11 papers in Algebra and Number Theory. Recurrent topics in Donald Sarason's work include Holomorphic and Operator Theory (26 papers), Algebraic and Geometric Analysis (21 papers) and Matrix Theory and Algorithms (9 papers). Donald Sarason is often cited by papers focused on Holomorphic and Operator Theory (26 papers), Algebraic and Geometric Analysis (21 papers) and Matrix Theory and Algorithms (9 papers). Donald Sarason collaborates with scholars based in United States, Canada and Argentina. Donald Sarason's co-authors include Henry Helson, Patrick Ahern, Sheldon Axler, Sun‐Yung A. Chang, R. G. Douglas, Matthew Lee, Stephan Ramon Garcia and Peter Rosenthal and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Donald Sarason

52 papers receiving 2.2k citations

Hit Papers

Generalized interpolation in 𝐻^{∞} 1967 2026 1986 2006 1967 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. Generalized interpolation in 𝐻^{∞}
    1967 462 citations Donald Sarason Transactions of the American Mathematical Society profile →

Peers

Donald Sarason
Henry Helson United States
F. F. Bonsall United Kingdom
Richard Arens United States
F. V. Atkinson Canada
James Eells United Kingdom
Jean Dhombres France
Kenneth R. Davidson Canada
Robert F. Brown United States
D. E. Edmunds United Kingdom
П. П. Забрейко Belarus
Henry Helson United States
Donald Sarason
Citations per year, relative to Donald Sarason Donald Sarason (= 1×) peers Henry Helson

Countries citing papers authored by Donald Sarason

Since Specialization
Citations

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

Fields of papers citing papers by Donald Sarason

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Donald Sarason

This figure shows the co-authorship network connecting the top 25 collaborators of Donald Sarason. A scholar is included among the top collaborators of Donald Sarason 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 Donald Sarason. Donald Sarason 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.
Sarason, Donald. (2012). Self-adjoint truncated Toeplitz operators on finite-dimensional model spaces. Indagationes Mathematicae. 23(4). 650–662. 1 indexed citations
2.
Axler, Sheldon, Peter Rosenthal, & Donald Sarason. (2010). A glimpse at Hilbert space operators : Paul R. Halmos in memoriam. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 1 indexed citations
3.
Sarason, Donald. (2007). The Banach algebra of slowly oscillating functions. Houston journal of mathematics. 33(4). 1161–1182. 2 indexed citations
4.
Sarason, Donald. (2007). Algebraic properties of truncated Toeplitz operators. Operators and Matrices. 491–526. 114 indexed citations
5.
Sarason, Donald. (1998). Nevanlinna-Pick interpolation with boundary data. Integral Equations and Operator Theory. 30(2). 231–250. 46 indexed citations
6.
Sarason, Donald, et al.. (1991). Multiplicative structure of de Branges' spaces. Revista Matemática Iberoamericana. 7(2). 183–220. 9 indexed citations
7.
Sarason, Donald. (1987). The Multiplication Theorem for Fredholm Operators. American Mathematical Monthly. 94(1). 68–68. 5 indexed citations
8.
Sarason, Donald. (1987). The Multiplication Theorem for Fredholm Operators. American Mathematical Monthly. 94(1). 68–70. 1 indexed citations
9.
Sarason, Donald. (1978). Function theory on the unit circle. 110 indexed citations
10.
Sarason, Donald. (1975). Functions of vanishing mean oscillation. Transactions of the American Mathematical Society. 207(0). 391–405. 375 indexed citations
11.
Sarason, Donald. (1975). Functions of Vanishing Mean Oscillation. Transactions of the American Mathematical Society. 207. 391–391. 101 indexed citations
12.
Sarason, Donald. (1971). Representing measures for R(X) and their Green's functions. Journal of Functional Analysis. 7(3). 359–385. 10 indexed citations
13.
Lee, Matthew & Donald Sarason. (1971). The spectra of some Toeplitz operators. Journal of Mathematical Analysis and Applications. 33(3). 529–543. 8 indexed citations
14.
Douglas, R. G. & Donald Sarason. (1970). Fredholm Toeplitz operators. Proceedings of the American Mathematical Society. 26(1). 117–120. 14 indexed citations
15.
Sarason, Donald, et al.. (1970). Fredholm Toeplitz Operators. Proceedings of the American Mathematical Society. 26(1). 117–117. 13 indexed citations
16.
Ahern, Patrick & Donald Sarason. (1967). The Hp spaces of a class of function algebras. Acta Mathematica. 117(0). 123–163. 40 indexed citations
17.
Helson, Henry & Donald Sarason. (1967). Past and Future. MATHEMATICA SCANDINAVICA. 21. 5–5. 218 indexed citations
18.
Sarason, Donald. (1965). The H[p] spaces of an annulus. American Mathematical Society eBooks. 21 indexed citations
19.
Sarason, Donald. (1965). A remark on the Volterra operator. Journal of Mathematical Analysis and Applications. 12(2). 244–246. 62 indexed citations
20.
Sarason, Donald. (1963). Doubly invariant subspaces of annulus operators. Bulletin of the American Mathematical Society. 69(4). 593–597. 5 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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