A. L. Shields

1.9k total citations
34 papers, 1.2k citations indexed

About

A. L. Shields is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, A. L. Shields has authored 34 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Applied Mathematics, 19 papers in Mathematical Physics and 8 papers in Geometry and Topology. Recurrent topics in A. L. Shields's work include Holomorphic and Operator Theory (14 papers), Advanced Banach Space Theory (11 papers) and Algebraic and Geometric Analysis (6 papers). A. L. Shields is often cited by papers focused on Holomorphic and Operator Theory (14 papers), Advanced Banach Space Theory (11 papers) and Algebraic and Geometric Analysis (6 papers). A. L. Shields collaborates with scholars based in United States, Sweden and Israel. A. L. Shields's co-authors include H. S. Shapiro, D. L. Williams, Lee A. Rubel, Peter Duren, R. G. Douglas, Leon Brown, J. M. Anderson, B. A. Taylor, Carl Pearcy and B. E. Johnson and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Acta Mathematica.

In The Last Decade

A. L. Shields

31 papers receiving 910 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. L. Shields United States	15	1.0k	379	356	160	113	34	1.2k
Earl Berkson United States	17	776 0.7×	630 1.7×	184 0.5×	224 1.4×	151 1.3×	85	1.1k
R. Michael Range United States	15	740 0.7×	254 0.7×	415 1.2×	74 0.5×	101 0.9×	47	929
Michael Lin Israel	18	359 0.3×	704 1.9×	198 0.6×	68 0.4×	151 1.3×	94	980
D. H. Armitage United Kingdom	11	518 0.5×	218 0.6×	202 0.6×	27 0.2×	193 1.7×	71	627
Carl C. Cowen United States	18	962 0.9×	274 0.7×	298 0.8×	390 2.4×	87 0.8×	47	1.2k
Joseph L. Taylor United States	15	542 0.5×	765 2.0×	370 1.0×	556 3.5×	221 2.0×	42	1.2k
T. J. Suffridge United States	17	792 0.8×	114 0.3×	790 2.2×	70 0.4×	79 0.7×	46	962
Lothar Berg Germany	14	542 0.5×	116 0.3×	381 1.1×	32 0.2×	124 1.1×	85	821
George Csordás United States	16	417 0.4×	120 0.3×	272 0.8×	249 1.6×	130 1.2×	65	694
Javad Mashreghi Canada	14	547 0.5×	292 0.8×	154 0.4×	176 1.1×	183 1.6×	93	755

Countries citing papers authored by A. L. Shields

Since Specialization

Citations

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

Fields of papers citing papers by A. L. Shields

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. L. Shields

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

All Works

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20 of 20 papers shown

Shields, A. L., et al.. (2021). Putting the Self in Self-Efficacy: Personal Factors in the Development of Early Teacher Self-Efficacy. Education and Urban Society. 55(2). 175–200. 11 indexed citations

Mishustin, Sergey P., А. К. Стрелис, G. V. Yanova, et al.. (2008). Integration of alcohol use disorders identification and management in the tuberculosis programme in Tomsk Oblast, Russia. European Journal of Public Health. 19(1). 16–18. 28 indexed citations

Brown, Leon & A. L. Shields. (1991). Multipliers and cyclic vectors in the Bloch space.. The Michigan Mathematical Journal. 38(1). 62 indexed citations

Pearcy, Carl, et al.. (1976). Rank-one commutators and hyperinvariant subspaces.. The Michigan Mathematical Journal. 22(3). 12 indexed citations

Anderson, J. M. & A. L. Shields. (1976). Coefficient multipliers of Bloch functions. Transactions of the American Mathematical Society. 224(2). 255–265. 48 indexed citations

Rubel, Lee A. & A. L. Shields. (1976). Badly approximable functions and interpolation by Blaschke products. Proceedings of the Edinburgh Mathematical Society. 20(2). 159–161.

Rubel, Lee A., A. L. Shields, & B. A. Taylor. (1975). Mergelyan sets and the modulus of continuity of analytic functions. Journal of Approximation Theory. 15(1). 23–40. 25 indexed citations

Duren, Peter & A. L. Shields. (1975). Restrictions of Hp functions to the diagonal of the polydisc. Duke Mathematical Journal. 42(4). 11 indexed citations

Aharonov, Dov, H. S. Shapiro, & A. L. Shields. (1974). Weakly Invertible Elements in the Space of Square-Summable Holomorphic Functions. Journal of the London Mathematical Society. s2-9(1). 183–192. 10 indexed citations

10.

Rubel, Lee A. & A. L. Shields. (1973). Invariant subspaces of $L^\infty$ and $H^\infty$. Bulletin of the American Mathematical Society. 79(1). 136–138. 3 indexed citations

11.

Johnson, B. E. & A. L. Shields. (1972). Hyperinvariant subspaces for operators on the space of complex sequences.. The Michigan Mathematical Journal. 19(2). 5 indexed citations

12.

Shields, A. L. & D. L. Williams. (1971). Bonded projections, duality, and multipliers in spaces of analytic functions. Transactions of the American Mathematical Society. 162. 287–287. 205 indexed citations

13.

Rubel, Lee A. & A. L. Shields. (1970). The second duals of certain spaces of analytic functions. Journal of the Australian Mathematical Society. 11(3). 276–280. 54 indexed citations

14.

Douglas, R. G., H. S. Shapiro, & A. L. Shields. (1970). Cyclic vectors and invariant subspaces for the backward shift operator. Annales de l’institut Fourier. 20(1). 37–76. 172 indexed citations

15.

Shields, A. L., et al.. (1969). Properties of H p (0 < p < 1) and Its Containing Banach Space. Transactions of the American Mathematical Society. 141. 255–255. 4 indexed citations

16.

Duren, Peter, et al.. (1969). Linear functionals on Hp spaces with 0<p<1.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1969(238). 32–60. 127 indexed citations

17.

Douglas, R. G., H. S. Shapiro, & A. L. Shields. (1967). On cyclic vectors of the backward shift. Bulletin of the American Mathematical Society. 73(1). 156–159. 20 indexed citations

18.

Rubel, Lee A. & A. L. Shields. (1966). The space of bounded analytic functions on a region. Annales de l’institut Fourier. 16(1). 235–277. 54 indexed citations

19.

Duren, Peter, H. S. Shapiro, & A. L. Shields. (1966). Singular measures and domains not of Smirnov type. Duke Mathematical Journal. 33(2). 84 indexed citations

20.

Rubel, Lee A. & A. L. Shields. (1964). Bounded approximation by polynomials. Acta Mathematica. 112(0). 145–162. 18 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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