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Garnett, John Brady

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Author ID: garnett.john-brady Recent zbMATH articles by "Garnett, John Brady"
Published as: Garnett, John B.; Garnett, John; Garnett, J.; Garnett, J. B.; Garnett, John Brady
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Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 2,438 times in 2,226 Documents Cited by Year
Bounded analytic functions. Zbl 0469.30024
Garnett, John B.
1981
Harmonic measure. Zbl 1077.31001
Garnett, John B.; Marshall, Donald E.
166
2005
Bounded analytic functions. Revised 1st ed. Zbl 1106.30001
Garnett, John B.
118
2006
Analytic capacity and measure. Zbl 0253.30014
Garnett, John
105
1972
Gaps and bands of one dimensional periodic Schrödinger operators. Zbl 0554.34013
Garnett, John; Trubowitz, Eugene
48
1984
BMO from dyadic BMO. Zbl 0516.46021
Garnett, John B.; Jones, Peter W.
43
1982
Harmonic measure. Paperback reprint of the hardback edition 2005. Zbl 1139.31001
Garnett, John B.; Marshall, Donald E.
36
2008
Bounded analytic functions. (Ogranichennye analiticheskie funktsii). Transl. from the English. Zbl 0542.30003
Garnett, John B.
31
1984
Positive length but zero analytic capacity. Zbl 0208.09803
Garnett, J.
29
1970
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
27
2012
The distance in BMO to \(L^\infty\). Zbl 0383.26010
Garnett, John B.; Jones, Peter W.
27
1978
Pointwise bounded approximation and Dirichlet algebras. Zbl 0223.30056
Gamelin, T. W.; Garnett, John
25
1971
The Corona theorem for Denjoy domains. Zbl 0578.30043
Garnett, John B.; Jones, Peter W.
24
1985
Gaps and bands of one dimensional periodic Schrödinger operators. II. Zbl 0649.34034
Garnett, John; Trubowitz, Eugene
24
1987
Image decompositions using bounded variation and generalized homogeneous Besov spaces. Zbl 1118.68176
Garnett, John B.; Le, Triet M.; Meyer, Yves; Vese, Luminita A.
22
2007
Constructive techniques in rational approximation. Zbl 0193.03501
Gamelin, T. W.; Garnett, J.
22
1969
Distance estimates and pointwise bounded density. Zbl 0263.30033
Davie, A. M.; Gamelin, T. W.; Garnett, J.
20
1973
A doubling measure on \(\mathbb {R}^d\) can charge a rectifiable curve. Zbl 1196.28007
Garnett, John; Killip, Rowan; Schul, Raanan
19
2010
Distinguished homomorphisms and fiber algebras. Zbl 0212.15302
Gamelin, T. W.; Garnett, J.
19
1970
Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions. Zbl 1396.28005
Garnett, John; Mourgoglou, Mihalis; Tolsa, Xavier
19
2018
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
18
1989
The atomic decomposition for Hardy spaces in several complex variables. Zbl 0403.32006
Garnett, John B.; Latter, Robert H.
17
1978
Conformally invariant length sums. Zbl 0541.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
16
1983
The distance in BMO to \(L^\infty\). Zbl 0358.26010
Garnett, John B.; Jones, Peter W.
15
1978
Uniform approximation to bounded analytic functions. Zbl 0225.30039
Gamelin, T. W.; Garnett, John
14
1970
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
14
1975
Interpolating sequences for bounded harmonic functions. Zbl 0236.30042
Garnett, John
12
1971
Square functions and uniform rectifiability. Zbl 1343.42010
Chousionis, Vasileios; Garnett, John; Le, Triet; Tolsa, Xavier
11
2016
Bounded approximation by rational functions. Zbl 0244.30038
Gamelin, T. W.; Garnett, John
11
1973
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
10
2016
Interpolating Blaschke products generate \(H^ \infty\). Zbl 0871.30031
Garnett, John; Nicolau, Artur
10
1996
Applications of harmonic measure. Zbl 0623.31001
Garnett, John B.
8
1986
Quasiextremal distance domains and integrability of derivatives of conformal mappings. Zbl 0809.30005
Garnett, John B.; Yang, Shanshuang
8
1994
On a theorem of Mergelyan. Zbl 0165.15904
Garnett, J.
7
1968
Algebras with the same multiplicative measures. Zbl 0159.42101
Garnett, J.; Glicksberg, I.
6
1967
On badly approximable functions. Zbl 0337.30028
Gamelin, T. W.; Garnett, J. B.; Rubel, L. A.; Shields, A. L.
6
1976
Weights and L log L. Zbl 0584.42013
Carbery, A.; Chang, S.-Y. A.; Garnett, J.
5
1985
Algebras generated by inner functions. Zbl 0348.46044
Bernard, Alain; Garnett, John B.; Marshall, Donald E.
5
1977
Modeling oscillatory components with the homogeneous spaces \({B\dot MO}^{-\alpha}\) and \(\dot W^{-\alpha,p}\). Zbl 1245.94020
Garnett, John B.; Jones, Peter W.; Le, Triet M.; Vese, Luminita A.
5
2011
Lipschitz harmonic capacity and bilipschitz images of Cantor sets. Zbl 1108.31005
Garnett, John; Prat, Laura; Tolsa, Xavier
4
2006
A topological characterization of Gleason parts. Zbl 0145.38701
Garnett, J.
4
1967
Two remarks on interpolation by bounded analytic functions. Zbl 0376.30010
Garnett, John B.
3
1977
Metric conditions for rational approximation. Zbl 0268.46048
Garnett, John
3
1970
Pointwise bounded approximation and hypodirichlet algebras. Zbl 0206.12802
Gamelin, T. W.; Garnett, J.
3
1971
Analytic capacity, bilipschitz maps and Cantor sets. Zbl 1063.30025
Garnett, John; Verdera, Joan
2
2003
Analyticity of functions and subalgebras of \(L^\infty\) containing \(H^\infty\). Zbl 0391.30022
Chang, S.-Y. A.; Garnett, J. B.
2
1978
Sobolev approximation by a sum of subalgebras on the circle. Zbl 0348.30035
Garnett, John B.; O’Farrell, Anthony G.
2
1976
Almost isometric maps of the hyperbolic plane. Zbl 0798.30033
Garnett, J. B.; Papadimitrakis, M.
1
1991
Quasiconformal groups and the conical limit set. Zbl 0654.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
1
1988
Corona problems, interpolation problems, and inhomogeneous Cauchy-Riemann equations. Zbl 0666.30030
Garnett, John B.
1
1987
A texture model based on a concentration of measure. Zbl 1273.49038
Schaeffer, Hayden; Garnett, John; Vese, Luminita A.
1
2013
Large sets of zero analytic capacity. Zbl 1062.30025
Garnett, John; Yoshinobu, Stan
1
2001
Vitushkin’s localization operator. Zbl 0223.46030
Garnett, John
1
1971
Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions. Zbl 1396.28005
Garnett, John; Mourgoglou, Mihalis; Tolsa, Xavier
19
2018
Square functions and uniform rectifiability. Zbl 1343.42010
Chousionis, Vasileios; Garnett, John; Le, Triet; Tolsa, Xavier
11
2016
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
10
2016
A texture model based on a concentration of measure. Zbl 1273.49038
Schaeffer, Hayden; Garnett, John; Vese, Luminita A.
1
2013
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
27
2012
Modeling oscillatory components with the homogeneous spaces \({B\dot MO}^{-\alpha}\) and \(\dot W^{-\alpha,p}\). Zbl 1245.94020
Garnett, John B.; Jones, Peter W.; Le, Triet M.; Vese, Luminita A.
5
2011
A doubling measure on \(\mathbb {R}^d\) can charge a rectifiable curve. Zbl 1196.28007
Garnett, John; Killip, Rowan; Schul, Raanan
19
2010
Harmonic measure. Paperback reprint of the hardback edition 2005. Zbl 1139.31001
Garnett, John B.; Marshall, Donald E.
36
2008
Image decompositions using bounded variation and generalized homogeneous Besov spaces. Zbl 1118.68176
Garnett, John B.; Le, Triet M.; Meyer, Yves; Vese, Luminita A.
22
2007
Bounded analytic functions. Revised 1st ed. Zbl 1106.30001
Garnett, John B.
118
2006
Lipschitz harmonic capacity and bilipschitz images of Cantor sets. Zbl 1108.31005
Garnett, John; Prat, Laura; Tolsa, Xavier
4
2006
Harmonic measure. Zbl 1077.31001
Garnett, John B.; Marshall, Donald E.
166
2005
Analytic capacity, bilipschitz maps and Cantor sets. Zbl 1063.30025
Garnett, John; Verdera, Joan
2
2003
Large sets of zero analytic capacity. Zbl 1062.30025
Garnett, John; Yoshinobu, Stan
1
2001
Interpolating Blaschke products generate \(H^ \infty\). Zbl 0871.30031
Garnett, John; Nicolau, Artur
10
1996
Quasiextremal distance domains and integrability of derivatives of conformal mappings. Zbl 0809.30005
Garnett, John B.; Yang, Shanshuang
8
1994
Almost isometric maps of the hyperbolic plane. Zbl 0798.30033
Garnett, J. B.; Papadimitrakis, M.
1
1991
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
18
1989
Quasiconformal groups and the conical limit set. Zbl 0654.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
1
1988
Gaps and bands of one dimensional periodic Schrödinger operators. II. Zbl 0649.34034
Garnett, John; Trubowitz, Eugene
24
1987
Corona problems, interpolation problems, and inhomogeneous Cauchy-Riemann equations. Zbl 0666.30030
Garnett, John B.
1
1987
Applications of harmonic measure. Zbl 0623.31001
Garnett, John B.
8
1986
The Corona theorem for Denjoy domains. Zbl 0578.30043
Garnett, John B.; Jones, Peter W.
24
1985
Weights and L log L. Zbl 0584.42013
Carbery, A.; Chang, S.-Y. A.; Garnett, J.
5
1985
Gaps and bands of one dimensional periodic Schrödinger operators. Zbl 0554.34013
Garnett, John; Trubowitz, Eugene
48
1984
Bounded analytic functions. (Ogranichennye analiticheskie funktsii). Transl. from the English. Zbl 0542.30003
Garnett, John B.
31
1984
Conformally invariant length sums. Zbl 0541.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
16
1983
BMO from dyadic BMO. Zbl 0516.46021
Garnett, John B.; Jones, Peter W.
43
1982
Bounded analytic functions. Zbl 0469.30024
Garnett, John B.
1981
The distance in BMO to \(L^\infty\). Zbl 0383.26010
Garnett, John B.; Jones, Peter W.
27
1978
The atomic decomposition for Hardy spaces in several complex variables. Zbl 0403.32006
Garnett, John B.; Latter, Robert H.
17
1978
The distance in BMO to \(L^\infty\). Zbl 0358.26010
Garnett, John B.; Jones, Peter W.
15
1978
Analyticity of functions and subalgebras of \(L^\infty\) containing \(H^\infty\). Zbl 0391.30022
Chang, S.-Y. A.; Garnett, J. B.
2
1978
Algebras generated by inner functions. Zbl 0348.46044
Bernard, Alain; Garnett, John B.; Marshall, Donald E.
5
1977
Two remarks on interpolation by bounded analytic functions. Zbl 0376.30010
Garnett, John B.
3
1977
On badly approximable functions. Zbl 0337.30028
Gamelin, T. W.; Garnett, J. B.; Rubel, L. A.; Shields, A. L.
6
1976
Sobolev approximation by a sum of subalgebras on the circle. Zbl 0348.30035
Garnett, John B.; O’Farrell, Anthony G.
2
1976
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
14
1975
Distance estimates and pointwise bounded density. Zbl 0263.30033
Davie, A. M.; Gamelin, T. W.; Garnett, J.
20
1973
Bounded approximation by rational functions. Zbl 0244.30038
Gamelin, T. W.; Garnett, John
11
1973
Analytic capacity and measure. Zbl 0253.30014
Garnett, John
105
1972
Pointwise bounded approximation and Dirichlet algebras. Zbl 0223.30056
Gamelin, T. W.; Garnett, John
25
1971
Interpolating sequences for bounded harmonic functions. Zbl 0236.30042
Garnett, John
12
1971
Pointwise bounded approximation and hypodirichlet algebras. Zbl 0206.12802
Gamelin, T. W.; Garnett, J.
3
1971
Vitushkin’s localization operator. Zbl 0223.46030
Garnett, John
1
1971
Positive length but zero analytic capacity. Zbl 0208.09803
Garnett, J.
29
1970
Distinguished homomorphisms and fiber algebras. Zbl 0212.15302
Gamelin, T. W.; Garnett, J.
19
1970
Uniform approximation to bounded analytic functions. Zbl 0225.30039
Gamelin, T. W.; Garnett, John
14
1970
Metric conditions for rational approximation. Zbl 0268.46048
Garnett, John
3
1970
Constructive techniques in rational approximation. Zbl 0193.03501
Gamelin, T. W.; Garnett, J.
22
1969
On a theorem of Mergelyan. Zbl 0165.15904
Garnett, J.
7
1968
Algebras with the same multiplicative measures. Zbl 0159.42101
Garnett, J.; Glicksberg, I.
6
1967
A topological characterization of Gleason parts. Zbl 0145.38701
Garnett, J.
4
1967
all top 5

Cited by 1,939 Authors

43 Mortini, Raymond
30 Korotyaev, Evgeny L.
29 Gorkin, Pamela B.
28 Izuchi, Keiji
27 Qian, Tao
24 Dyakonov, Konstantin M.
21 Nicolau, Artur
20 Rättyä, Jouni
19 Bishop, Christopher James
19 Zheng, Dechao
18 Tolsa, Xavier
17 Karlovich, Yuri I.
16 Baratchart, Laurent
16 Brudnyi, Alexander
15 Girela, Daniel
14 Akeroyd, John R.
14 Hedenmalm, Håkan
14 Lou, Zengjian
14 Wei, Huaying
14 Wick, Brett Duane
14 Wulan, Hasi
14 Xia, Jingbo
13 Gamelin, Theodore W.
13 Hofmann, Steve
13 Leblond, Juliette
13 Peláez, José Ángel
13 Ross, William T.
13 Shen, Yuliang
13 Treil, Sergei
13 Zhu, Kehe
12 Baranov, Anton D.
12 Jones, Peter Wilcox
12 Qian, Ruishen
12 Totik, Vilmos
12 Wu, Zhijian
11 Boche, Holger
11 Hartmann, Andreas
11 Izuchi, Yuko
11 Nakazi, Takahiko
11 Vuorinen, Matti Keijo Kustaa
11 Zinsmeister, Michel
10 Bao, Guanlong
10 Borichev, Aleksandr Aleksandrovich
10 Garnett, John Brady
10 Khavinson, Dmitry S.
10 Li, Songxiao
10 Lindström, Mikael
10 Liu, Taishun
10 Lubinsky, Doron S.
10 McNicholl, Timothy H.
10 Pérez-González, Fernando
10 Toro, Tatiana
10 Xiao, Jie
9 Blasco, Oscar
9 Böttcher, Albrecht
9 Ghatage, Pratibha G.
9 Guo, Kunyu
9 Mourgoglou, Mihalis
9 Nestoridis, Vassili
9 Ohno, Shûichi
9 Ransford, Thomas J.
9 Saksman, Eero
9 Sundberg, Carl-Erik W.
9 Tang, Xiaomin
9 Thomas, Pascal J.
9 Volberg, Alexander Lvovich
9 Yuditskii, Peter Meerovich
8 Astala, Kari
8 Azzam, Jonas
8 Cima, Joseph A.
8 Gallardo-Gutiérrez, Eva Antonia
8 González, María José
8 Gubreev, Gennadiĭ Mykhaĭlovych
8 Matheson, Alec L.
8 Mayboroda, Svitlana
8 McCarthy, John Edward
8 Pipher, Jill Catherine
8 Smith, Wayne Stewart
8 Tan, Lihui
8 Wegert, Elias
8 Younis, Rahman M.
7 Aleman, Alexandru
7 Badger, Matthew
7 Betsakos, Dimitrios
7 David, Guy
7 Golinskii, Leonid Borisovich
7 Huang, Hansong
7 Kenig, Carlos Eduardo
7 Laitila, Jussi
7 Manolaki, Myrto
7 Mashreghi, Javad
7 Massaneda, Xavier
7 Nasser, Mohamed M. S.
7 Nieminen, Pekka J.
7 Partington, Jonathan R.
7 Rupp, Rudolf
7 Solev, Valentin N.
7 Spitkovsky, Ilya Matvey
7 Suárez, Fernando Daniel
7 Tang, ShuAn
...and 1,839 more Authors
all top 5

Cited in 312 Serials

167 Journal of Functional Analysis
133 Proceedings of the American Mathematical Society
120 Journal of Mathematical Analysis and Applications
110 Transactions of the American Mathematical Society
79 Journal d’Analyse Mathématique
72 Integral Equations and Operator Theory
46 Journal of Approximation Theory
45 Arkiv för Matematik
43 The Journal of Geometric Analysis
42 Complex Analysis and Operator Theory
39 Advances in Mathematics
39 Computational Methods and Function Theory
34 Journal of Mathematical Sciences (New York)
31 Mathematische Zeitschrift
30 Mathematische Annalen
30 St. Petersburg Mathematical Journal
29 Mathematical Notes
24 Annales de l’Institut Fourier
23 Bulletin of the Australian Mathematical Society
21 Rocky Mountain Journal of Mathematics
20 Duke Mathematical Journal
18 Communications in Mathematical Physics
18 Archiv der Mathematik
18 Functional Analysis and its Applications
18 Journal of Soviet Mathematics
18 Revista Matemática Iberoamericana
17 Constructive Approximation
16 Israel Journal of Mathematics
16 Science China. Mathematics
15 The Journal of Fourier Analysis and Applications
14 Ukrainian Mathematical Journal
13 Acta Mathematica
13 Journal of Differential Equations
13 Journal of the American Mathematical Society
13 Potential Analysis
13 Analysis and Mathematical Physics
12 Inventiones Mathematicae
12 Proceedings of the Edinburgh Mathematical Society. Series II
12 Annales Academiae Scientiarum Fennicae. Mathematica
11 Mathematische Nachrichten
11 Systems & Control Letters
11 Linear Algebra and its Applications
11 Acta Mathematica Sinica. English Series
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Illinois Journal of Mathematics
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Journal of the Australian Mathematical Society
9 Memoirs of the American Mathematical Society
9 Results in Mathematics
9 Siberian Mathematical Journal
8 Collectanea Mathematica
8 Journal of Computational and Applied Mathematics
8 Probability Theory and Related Fields
8 Indagationes Mathematicae. New Series
8 Calculus of Variations and Partial Differential Equations
8 Abstract and Applied Analysis
8 Mediterranean Journal of Mathematics
8 Complex Variables and Elliptic Equations
7 Automatica
7 Canadian Mathematical Bulletin
7 Michigan Mathematical Journal
7 Russian Mathematics
7 Acta Mathematica Scientia. Series B. (English Edition)
7 International Journal of Wavelets, Multiresolution and Information Processing
6 Studia Mathematica
6 Applied Mathematics and Computation
6 Quaestiones Mathematicae
6 Tôhoku Mathematical Journal. Second Series
6 Topology and its Applications
6 Science in China. Series A
6 Geometric and Functional Analysis. GAFA
6 Applied and Computational Harmonic Analysis
6 Filomat
6 Bulletin des Sciences Mathématiques
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Bulletin of the American Mathematical Society
6 Annales Fennici Mathematici
5 Mathematical Methods in the Applied Sciences
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Bulletin of the London Mathematical Society
5 Canadian Journal of Mathematics
5 Czechoslovak Mathematical Journal
5 Physica D
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Communications in Partial Differential Equations
5 SIAM Journal on Mathematical Analysis
5 Applied Mathematics. Series B (English Edition)
5 Russian Journal of Mathematical Physics
5 Conformal Geometry and Dynamics
5 Journal of Function Spaces and Applications
5 SIAM Journal on Imaging Sciences
5 Journal of Function Spaces
4 Archive for Rational Mechanics and Analysis
4 Letters in Mathematical Physics
4 Glasgow Mathematical Journal
4 Kodai Mathematical Journal
4 Monatshefte für Mathematik
4 Ergodic Theory and Dynamical Systems
4 Chinese Annals of Mathematics. Series B
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
...and 212 more Serials
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Cited in 51 Fields

1,126 Functions of a complex variable (30-XX)
613 Functional analysis (46-XX)
582 Operator theory (47-XX)
302 Harmonic analysis on Euclidean spaces (42-XX)
192 Several complex variables and analytic spaces (32-XX)
191 Potential theory (31-XX)
175 Partial differential equations (35-XX)
110 Approximations and expansions (41-XX)
98 Measure and integration (28-XX)
89 Probability theory and stochastic processes (60-XX)
74 Ordinary differential equations (34-XX)
56 Numerical analysis (65-XX)
47 Dynamical systems and ergodic theory (37-XX)
43 Information and communication theory, circuits (94-XX)
39 Real functions (26-XX)
39 Systems theory; control (93-XX)
36 Integral transforms, operational calculus (44-XX)
28 Integral equations (45-XX)
28 Quantum theory (81-XX)
24 Special functions (33-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
21 Fluid mechanics (76-XX)
20 Abstract harmonic analysis (43-XX)
18 Statistical mechanics, structure of matter (82-XX)
16 Computer science (68-XX)
15 Number theory (11-XX)
15 Statistics (62-XX)
14 General topology (54-XX)
13 Differential geometry (53-XX)
12 Mathematical logic and foundations (03-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Biology and other natural sciences (92-XX)
9 Convex and discrete geometry (52-XX)
8 History and biography (01-XX)
8 Group theory and generalizations (20-XX)
7 Difference and functional equations (39-XX)
7 Operations research, mathematical programming (90-XX)
5 Algebraic geometry (14-XX)
4 Combinatorics (05-XX)
4 Topological groups, Lie groups (22-XX)
4 Sequences, series, summability (40-XX)
4 Geometry (51-XX)
4 Mechanics of deformable solids (74-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
2 General and overarching topics; collections (00-XX)
2 Manifolds and cell complexes (57-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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