N. Aronszajn

8.5k total citations
23 papers, 1.5k citations indexed

About

N. Aronszajn is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, N. Aronszajn has authored 23 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Mathematical Physics, 11 papers in Applied Mathematics and 8 papers in Computational Theory and Mathematics. Recurrent topics in N. Aronszajn's work include Differential Equations and Numerical Methods (4 papers), Advanced Mathematical Modeling in Engineering (4 papers) and advanced mathematical theories (4 papers). N. Aronszajn is often cited by papers focused on Differential Equations and Numerical Methods (4 papers), Advanced Mathematical Modeling in Engineering (4 papers) and advanced mathematical theories (4 papers). N. Aronszajn collaborates with scholars based in United States. N. Aronszajn's co-authors include K. T. Smith, William F. Donoghue, Emilio Gagliardo, Robert D. Brown and Robert Adams and has published in prestigious journals such as Annals of Mathematics, Pacific Journal of Mathematics and Journal of Differential Geometry.

In The Last Decade

N. Aronszajn

21 papers receiving 1.1k citations

Peers

Countries citing papers authored by N. Aronszajn

Since Specialization

Citations

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

Fields of papers citing papers by N. Aronszajn

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of N. Aronszajn

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

#	Work	Indexed citations
1	Sub-Cartesian spaces 1980 ·Journal of Differential Geometry ·N. Aronszajn, (unknown)	6
2	Differentiability of Lipschitzian mappings between Banach spaces 1976 ·Studia Mathematica ·N. Aronszajn	119
3	Theory of Bessel potentials. IV. Potentials on subcartesian spaces with singularities of polyhedral type 1975 ·Annales de l’institut Fourier ·N. Aronszajn, (unknown)	10
4	Construction of the solutions of boundary value problems for the biharmonic operator in a rectangle 1973 ·Annales de l’institut Fourier ·N. Aronszajn, Robert D. Brown, (unknown)	1
5	Finite-dimensional perturbations of spectral problems and variational approximation methods for eigenvalue problems. Part I. Finite-dimensional perturbations 1970 ·Studia Mathematica ·N. Aronszajn, Robert D. Brown	7
6	Theory of Bessel potentials. III: Potentials on regular manifolds 1969 ·Annales de l’institut Fourier ·Robert Adams, N. Aronszajn, (unknown)	11
7	Theory of Bessel potentials. II 1967 ·Annales de l’institut Fourier ·(unknown), N. Aronszajn, K. T. Smith	23
8	On general integral transformations 1966 ·Mathematische Annalen ·N. Aronszajn, (unknown)	33
9	Potentiels besséliens 1965 ·Annales de l’institut Fourier ·N. Aronszajn	6
10	Interpolation spaces and interpolation methods 1965 ·Annali di Matematica Pura ed Applicata (1923 -) ·N. Aronszajn, Emilio Gagliardo	82
11	A supplement to the paper on exponential representations of analytic functions in the upper half-plane with positive imaginary part 1964 ·Journal d Analyse Mathématique ·N. Aronszajn, William F. Donoghue	14
12	On spaces of potentials connected with L p classes 1963 ·Annales de l’institut Fourier ·N. Aronszajn, (unknown)	47
13	A unique continuation theorem for exterior differential forms on Riemannian manifolds 1962 ·Arkiv för matematik ·N. Aronszajn, (unknown), (unknown)	96
14	Theory of Bessel potentials. I 1961 ·Annales de l’institut Fourier ·N. Aronszajn, K. T. Smith	238
15	Correction to: “Extension of uniformly continuous transformations in hyperconvex metric spaces” 1957 ·Pacific Journal of Mathematics ·N. Aronszajn, (unknown)	25
16	On exponential representations of analytic functions in the upper half-plane with positive imaginary part 1956 ·Journal d Analyse Mathématique ·N. Aronszajn, William F. Donoghue	78
17	Functional spaces and functional completion 1956 ·Annales de l’institut Fourier ·N. Aronszajn, K. T. Smith	47
18	A UNIQUE CONTINUATION THEOREM FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS OR INEQUALITIES OF SECOND ORDER 1956 ·N. Aronszajn	285
19	Extension of uniformly continuous transformations and hyperconvex metric spaces 1956 ·Pacific Journal of Mathematics ·N. Aronszajn, (unknown)	228
20	Differential operators on Riemannian manifolds 1953 ·Rendiconti del Circolo Matematico di Palermo Series 2 ·N. Aronszajn, (unknown)	30

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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