Mitsuru Nakai

1.5k total citations
155 papers, 1.1k citations indexed

About

Mitsuru Nakai is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Mitsuru Nakai has authored 155 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 86 papers in Applied Mathematics, 74 papers in Mathematical Physics and 57 papers in Geometry and Topology. Recurrent topics in Mitsuru Nakai's work include Advanced Mathematical Modeling in Engineering (44 papers), Algebraic and Geometric Analysis (27 papers) and Holomorphic and Operator Theory (26 papers). Mitsuru Nakai is often cited by papers focused on Advanced Mathematical Modeling in Engineering (44 papers), Algebraic and Geometric Analysis (27 papers) and Holomorphic and Operator Theory (26 papers). Mitsuru Nakai collaborates with scholars based in Japan, Slovakia and United States. Mitsuru Nakai's co-authors include Leo Sario, Moses Glasner, Cecilia Wang, Takushi Yokoyama, Ryuichi Itoi and Hiroshi Tanaka and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Mitsuru Nakai

130 papers receiving 681 citations

Peers

Mitsuru Nakai
Leo Sario United States
Dmitry Khavinson United States
Anthony J. Tromba United States
Olli Lehto Finland
Kurt Strebel Switzerland
Henry C. Wente United States
Leo Sario United States
Mitsuru Nakai
Citations per year, relative to Mitsuru Nakai Mitsuru Nakai (= 1×) peers Leo Sario

Countries citing papers authored by Mitsuru Nakai

Since Specialization
Citations

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

Fields of papers citing papers by Mitsuru Nakai

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mitsuru Nakai

This figure shows the co-authorship network connecting the top 25 collaborators of Mitsuru Nakai. A scholar is included among the top collaborators of Mitsuru Nakai 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 Mitsuru Nakai. Mitsuru Nakai 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.
Nakai, Mitsuru. (2012). Surfaces carrying sufficiently many Dirichlet finite harmonic functions that are automatically bounded. Journal of the Mathematical Society of Japan. 64(1).
2.
Nakai, Mitsuru. (2011). An application of capacitary functions\tto an inverse inclusion problem. Project Euclid (Cornell University).
3.
Nakai, Mitsuru. (2009). Extremal functions for capacities. Journal of the Mathematical Society of Japan. 61(2). 5 indexed citations
4.
Nakai, Mitsuru, et al.. (2001). Harmonic Liouville Theorem for Exterior Domains. Journal of Mathematical Analysis and Applications. 253(1). 269–273. 1 indexed citations
5.
Nakai, Mitsuru, et al.. (1997). A form of classical Liouville theorem. Proceedings of the Japan Academy Series A Mathematical Sciences. 73(9). 1 indexed citations
6.
Nakai, Mitsuru. (1996). Brelot spaces of Schrödinger equations. Journal of the Mathematical Society of Japan. 48(2). 2 indexed citations
7.
Nakai, Mitsuru. (1988). Valuations on meromorphic functions of bounded type. Transactions of the American Mathematical Society. 309(1). 231–252. 1 indexed citations
8.
Nakai, Mitsuru. (1980). Strong Picard principle. Journal of the Mathematical Society of Japan. 32(4). 2 indexed citations
9.
Nakai, Mitsuru, et al.. (1978). T\^oki covering surfaces and their applications. Journal of the Mathematical Society of Japan. 30(2). 4 indexed citations
10.
Nakai, Mitsuru, et al.. (1977). Harmonic dimensions related to Dirichlet integrals. Journal of the Mathematical Society of Japan. 29(1). 1 indexed citations
11.
Nakai, Mitsuru. (1977). Malformed subregions of Riemann surfaces. Journal of the Mathematical Society of Japan. 29(4). 1 indexed citations
12.
Nakai, Mitsuru, et al.. (1976). A test of Picard principle for rotation free densities, II. Journal of the Mathematical Society of Japan. 28(2). 20 indexed citations
13.
Nakai, Mitsuru. (1976). Extremizations and Dirichlet integrals on Riemann surfaces. Journal of the Mathematical Society of Japan. 28(3). 5 indexed citations
14.
Nakai, Mitsuru. (1975). A test of Picard principle for rotation free densities. Journal of the Mathematical Society of Japan. 27(3). 24 indexed citations
15.
Nakai, Mitsuru. (1974). Martin boundary over an isolated singularity of rotation free density. Journal of the Mathematical Society of Japan. 26(3). 28 indexed citations
16.
Nakai, Mitsuru. (1971). Dirichlet finite solutions of Δ𝑢=𝑃𝑢, and classification of Riemann surfaces. Bulletin of the American Mathematical Society. 77(3). 381–385. 12 indexed citations
17.
Nakai, Mitsuru. (1966). Finite interpolation for analytic functions with finite Dirichlet integrals. Proceedings of the American Mathematical Society. 17(2). 362–364. 1 indexed citations
18.
Nakai, Mitsuru. (1962). Genus and classification of Riemann surfaces. OUKA (Osaka University Knowledge Archive) (Osaka University). 14(1). 153–180. 9 indexed citations
19.
Nakai, Mitsuru. (1961). The Space of Dirichlet-Finite Solutions of the Equation Δu = Pu on a Riemann Surface. Nagoya Mathematical Journal. 18. 111–131. 13 indexed citations
20.
Nakai, Mitsuru. (1961). Bordered Riemann surface with parabolic double. Proceedings of the Japan Academy Series A Mathematical Sciences. 37(9). 3 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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