Harry Hochstadt

2.7k total citations
91 papers, 1.8k citations indexed

About

Harry Hochstadt is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Harry Hochstadt has authored 91 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Mathematical Physics, 40 papers in Computational Theory and Mathematics and 17 papers in Applied Mathematics. Recurrent topics in Harry Hochstadt's work include Spectral Theory in Mathematical Physics (43 papers), Matrix Theory and Algorithms (30 papers) and Numerical methods in inverse problems (18 papers). Harry Hochstadt is often cited by papers focused on Spectral Theory in Mathematical Physics (43 papers), Matrix Theory and Algorithms (30 papers) and Numerical methods in inverse problems (18 papers). Harry Hochstadt collaborates with scholars based in United States, Russia and Netherlands. Harry Hochstadt's co-authors include Richard A. Silverman, Wolfgang Fuchs, M. Guglielmi, Emeric Deutsch, J. Bazer, Michael P. Mattis and A. Hessel and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Mathematics of Computation and IEEE Transactions on Microwave Theory and Techniques.

In The Last Decade

Harry Hochstadt

82 papers receiving 1.5k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Harry Hochstadt United States	19	962	749	472	346	268	91	1.8k
M. A. Naĭmark United States	6	902 0.9×	624 0.8×	684 1.4×	262 0.8×	172 0.6×	16	1.7k
Н. И. Ахиезер United States	7	953 1.0×	622 0.8×	860 1.8×	556 1.6×	461 1.7×	12	2.4k
F. G. Friedlander United Kingdom	18	851 0.9×	318 0.4×	650 1.4×	217 0.6×	255 1.0×	32	1.8k
M. S. P. Eastham United Kingdom	13	823 0.9×	547 0.7×	417 0.9×	399 1.2×	240 0.9×	88	1.5k
Seymour Goldberg United States	17	1.1k 1.1×	807 1.1×	1.1k 2.3×	244 0.7×	134 0.5×	43	2.3k
Heinz Langer Germany	24	1.5k 1.6×	1.1k 1.5×	909 1.9×	350 1.0×	251 0.9×	141	2.3k
M. Sh. Birman Russia	19	1.0k 1.1×	807 1.1×	517 1.1×	129 0.4×	149 0.6×	56	1.6k
Hassler Whitney United States	13	603 0.6×	375 0.5×	528 1.1×	168 0.5×	165 0.6×	18	2.0k
Cathleen S. Morawetz United States	27	1.3k 1.3×	467 0.6×	987 2.1×	298 0.9×	263 1.0×	67	2.3k
Leonard Gross United States	22	1.4k 1.4×	551 0.7×	1.3k 2.8×	296 0.9×	209 0.8×	51	2.5k

Countries citing papers authored by Harry Hochstadt

Since Specialization

Citations

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

Fields of papers citing papers by Harry Hochstadt

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Harry Hochstadt

This figure shows the co-authorship network connecting the top 25 collaborators of Harry Hochstadt. A scholar is included among the top collaborators of Harry Hochstadt 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 Harry Hochstadt. Harry Hochstadt 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

Hochstadt, Harry, et al.. (1985). On the solvability of Hill's equation by quadrature. Journal of Mathematical Analysis and Applications. 112(2). 411–416. 2 indexed citations

Hochstadt, Harry. (1984). A generalization of Borg's inverse theorem for Hill's equations. Journal of Mathematical Analysis and Applications. 102(2). 599–605. 13 indexed citations

Hochstadt, Harry, et al.. (1983). On the integrability of Hill's equations with finite band spectra. Journal of Mathematical Analysis and Applications. 94(2). 366–376. 2 indexed citations

Hochstadt, Harry, et al.. (1983). On a periodic boundary value problem with only a finite number of simple eigenvalues. Journal of Mathematical Analysis and Applications. 91(2). 340–351. 2 indexed citations

Mattis, Michael P. & Harry Hochstadt. (1981). On the construction of band matrices from spectral data. Linear Algebra and its Applications. 38. 109–119. 4 indexed citations

Hochstadt, Harry. (1979). On the construction of a Jacobi matrix from mixed given data. Linear Algebra and its Applications. 28. 113–115. 47 indexed citations

Hochstadt, Harry, et al.. (1979). On a Hill's equation with selected gaps in its spectrum. Journal of Differential Equations. 34(2). 167–178. 5 indexed citations

Hochstadt, Harry. (1977). On the well-posedness of the inverse Sturm-Liouville problems. Journal of Differential Equations. 23(3). 402–413. 8 indexed citations

Hochstadt, Harry. (1976). An Inverse Problem for a Hill’s Equation. SIAM Journal on Applied Mathematics. 31(2). 392–396. 4 indexed citations

10.

Hochstadt, Harry. (1975). On inverse problems associated with Sturm-Liouville operators. Journal of Differential Equations. 17(1). 220–235. 26 indexed citations

11.

Hochstadt, Harry. (1973). One Dimensional Perturbations of Compact Operators. Proceedings of the American Mathematical Society. 37(2). 465–465. 5 indexed citations

12.

Hochstadt, Harry. (1969). The distribution of eigenvalues of ordinary differential operators. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 310(1503). 565–577. 1 indexed citations

13.

Hochstadt, Harry. (1964). Laplace Transforms and Canonical Matrices. American Mathematical Monthly. 71(7). 728–728. 1 indexed citations

14.

Hochstadt, Harry. (1963). A new proof of a stability estimate of Lyapunov. Proceedings of the American Mathematical Society. 14(3). 525–526. 17 indexed citations

15.

Hochstadt, Harry. (1963). A Special Hill's Equation with Discontinuous Coefficients. American Mathematical Monthly. 70(1). 18–18. 16 indexed citations

16.

Hochstadt, Harry. (1963). Estimates on the Stability Intervals for Hill's Equation. Proceedings of the American Mathematical Society. 14(6). 930–930. 13 indexed citations

17.

Hochstadt, Harry. (1962). A stability criterion for Hill’s equation. Proceedings of the American Mathematical Society. 13(4). 601–603. 2 indexed citations

18.

Hochstadt, Harry. (1959). Some diffraction by convex bodies. Archive for Rational Mechanics and Analysis. 3(1). 422–438. 1 indexed citations

19.

Hochstadt, Harry. (1957). A relationship between parabolic and spherical functions. Proceedings of the American Mathematical Society. 8(3). 489–491. 2 indexed citations

20.

Hochstadt, Harry. (1957). A Relationship Between Parabolic and Spherical Functions. Proceedings of the American Mathematical Society. 8(3). 489–489. 2 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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