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Author ID: carleson.lennart Recent zbMATH articles by "Carleson, Lennart"
Published as: Carleson, Lennart; Carleson, L.
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Wolf Prize (1992) · Abel Prize (2006)
Documents Indexed: 71 Publications since 1950, including 5 Books and 1 Additional arXiv Preprint
4 Further Contributions
Biographic References: 12 Publications
Co-Authors: 24 Co-Authors with 19 Joint Publications
736 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 3,621 times in 3,175 Documents Cited by Year
Interpolations by bounded analytic functions and the corona problem. Zbl 0112.29702
Carleson, Lennart
479
1962
Complex dynamics. Zbl 0782.30022
Carleson, Lennart; Gamelin, Theodore W.
408
1993
On convergence and growth of partial sums of Fourier series. Zbl 0144.06402
Carleson, Lennart
388
1966
The dynamics of the Hénon map. Zbl 0724.58042
Benedicks, Michael; Carleson, Lennart
314
1991
An interpolation problem for bounded analytic functions. Zbl 0085.06504
Carleson, Lennart
288
1958
Selected problems on exceptional sets. Zbl 0189.10903
Carleson, Lennart
242
1967
On the existence of an external function for an inequality of J. Moser. Zbl 0619.58013
Carleson, Lennart; Chang, Sun-Yung A.
237
1986
The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer. Zbl 0732.01042
Beurling, Arne
192
1989
Oscillatory integrals and a multiplier problem for the disc. Zbl 0215.18303
Carleson, Lennart; Sjölin, Per
147
1972
On iterations of \(1-\alpha x^2\) on \((-1,1)\). Zbl 0597.58016
Benedicks, Michael; Carleson, Lennart
133
1985
Sets of uniqueness for functions regular in the unit circle. Zbl 0046.30005
Carleson, Lennart
102
1952
Some analytic problems related to statistical mechanics. Zbl 0425.60091
Carleson, Lennart
92
1980
Julia and John. Zbl 0804.30023
Carleson, Lennart; Jones, Peter W.; Yoccoz, Jean-Christophe
56
1994
On the existence of boundary values for harmonic functions in several variables. Zbl 0107.08402
Carleson, Lennart
53
1962
On mappings, conformal at the boundary. Zbl 0186.13701
Carleson, Lennart
48
1967
A representation formula for the Dirichlet integral. Zbl 0090.28603
Carleson, Lennart
47
1960
On coefficient problems for univalent functions and conformal dimension. Zbl 0765.30005
Carleson, Lennart; Jones, Peter W.
41
1992
Mergelyan’s theorem on uniform polynomial approximation. Zbl 0163.08601
Carleson, Lennart
30
1964
Hölder continuity of Green’s functions. Zbl 1076.30026
Carleson, Lennart; Totik, Vilmos
29
2004
On \(H^\infty\) in multiply connected domains. Zbl 0527.46048
Carleson, Lennart
28
1983
On the support of harmonic measure for sets of Cantor type. Zbl 0593.31004
Carleson, Lennart
28
1985
Representations of continuous functions. Zbl 0086.27702
Carleson, Lennart
26
1957
Aggregation in the plane and Loewner’s equation. Zbl 1042.82039
Carleson, Lennart; Makarov, N.
25
2001
On a class of meromorphic functions and its associated exceptional sets. Zbl 0036.04701
Carleson, Lennart
25
1950
Selected problems on exceptional sets. Translation from the English by V.P.Havin. Edited by V.G.Maz’ya. (Izbrannye problemy teorii isklyuchitel’nykh mnozhestv.) Zbl 0224.31001
Carleson, Lennart
22
1971
Two remarks on \(H^1\) and BMO. Zbl 0357.46058
Carleson, Lennart
22
1976
Some results connected with Brennan’s conjecture. Zbl 0805.30018
Carleson, Lennart; Makarov, Nikolai G.
21
1994
On the zeros of functions with bounded Dirichlet integrals. Zbl 0047.07601
Carleson, Lennart
21
1952
Removable singularities of continuous harmonic functions in \(R^ m\). Zbl 0141.30203
Carleson, Lennart
21
1963
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
20
1989
On universal moment problems. Zbl 0114.05903
Carleson, Lennart
20
1961
Laplacian path models. Zbl 1040.30011
Carleson, Lennart; Makarov, N.
18
2002
Best uniform approximation by analytic functions. Zbl 0248.30034
Carleson, Lennart; Jacobs, Sigvard
18
1972
The extension problem for quasiconformal mappings. Zbl 0304.30016
Carleson, Lennart
17
1974
On Bernstein’s approximation problem. Zbl 0044.07002
Carleson, Lennart
16
1951
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
15
1975
An explicit unconditional basis in \(H^1\). Zbl 0495.46020
Carleson, Lennart
14
1980
On nullsets for continuous analytic functions. Zbl 0042.30902
Carleson, Lennart
12
1951
On the distortion of sets on a Jordan curve under conformal mapping. Zbl 0273.30014
Carleson, Lennart
11
1973
On bounded analytic functions and closure problems. Zbl 0047.35301
Carleson, Lennart
10
1952
On infinite differential equations with constant coefficients. I. Zbl 0050.31101
Carleson, Lennart
9
1953
The corona theorem. Zbl 0195.42104
Carleson, Lennart
9
1970
A remark on Picard’s theorem. Zbl 0133.03601
Carleson, Lennart
7
1961
Estimates of harmonic measures. Zbl 0521.30026
Carleson, Lennart
6
1982
The analytic continuation of interpolatory functions. Zbl 0126.28803
Akutowicz, E. J.; Carleson, L.
6
1960
Selected problems on exceptional sets. Reprint. Orig. publ. 1967 by Van Nostrand, Princeton, N.J. Zbl 0505.00034
Carleson, Lennart
5
1983
A proof of an inequality of Carleman. Zbl 0057.04802
Carleson, Lennart
5
1954
On the connection between Hausdorff measures and capacity. Zbl 0078.09303
Carleson, Lennart
5
1958
Wiener’s Tauberian theorem. Zbl 0881.42001
Carleson, Lennart
4
1997
BMO - 10 years’ development. Zbl 0495.46021
Carleson, Lennart
4
1981
Two remarks on the basic theorems of information theory. Zbl 0088.10603
Carleson, Lennart
4
1958
Stochastic models of some dynamical systems. Zbl 0777.58023
Carleson, Lennart
3
1991
Interpolations by bounded analytic functions and the corona problem. Zbl 0192.16801
Carleson, Lennart
3
1963
Metric projections of \(L^p\) on \(H^p\). (Projections métriques de \(L^p\) sur \(H^p\).) Zbl 0269.42006
Carleson, Lennart
2
1973
A remark on Denjoy’s inequality and Herman’s theorem. Zbl 0446.58014
Carleson, Lennart
1
1979
An example concerning analytic functions with finite Dirichlet integrals. Zbl 0449.30024
Carleson, Lennart
1
1979
Lars Ahlfors and the Painlevé problem. Zbl 0959.30013
Carleson, Lennart
1
2000
Asymptotic paths for subharmonic functions in \(\mathbb R^n\). Zbl 0352.31004
Carleson, Lennart
1
1976
Maximal functions and capacities. Zbl 0139.28701
Carleson, Lennart
1
1965
Hölder continuity of Green’s functions. Zbl 1076.30026
Carleson, Lennart; Totik, Vilmos
29
2004
Laplacian path models. Zbl 1040.30011
Carleson, Lennart; Makarov, N.
18
2002
Aggregation in the plane and Loewner’s equation. Zbl 1042.82039
Carleson, Lennart; Makarov, N.
25
2001
Lars Ahlfors and the Painlevé problem. Zbl 0959.30013
Carleson, Lennart
1
2000
Wiener’s Tauberian theorem. Zbl 0881.42001
Carleson, Lennart
4
1997
Julia and John. Zbl 0804.30023
Carleson, Lennart; Jones, Peter W.; Yoccoz, Jean-Christophe
56
1994
Some results connected with Brennan’s conjecture. Zbl 0805.30018
Carleson, Lennart; Makarov, Nikolai G.
21
1994
Complex dynamics. Zbl 0782.30022
Carleson, Lennart; Gamelin, Theodore W.
408
1993
On coefficient problems for univalent functions and conformal dimension. Zbl 0765.30005
Carleson, Lennart; Jones, Peter W.
41
1992
The dynamics of the Hénon map. Zbl 0724.58042
Benedicks, Michael; Carleson, Lennart
314
1991
Stochastic models of some dynamical systems. Zbl 0777.58023
Carleson, Lennart
3
1991
The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer. Zbl 0732.01042
Beurling, Arne
192
1989
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
20
1989
On the existence of an external function for an inequality of J. Moser. Zbl 0619.58013
Carleson, Lennart; Chang, Sun-Yung A.
237
1986
On iterations of \(1-\alpha x^2\) on \((-1,1)\). Zbl 0597.58016
Benedicks, Michael; Carleson, Lennart
133
1985
On the support of harmonic measure for sets of Cantor type. Zbl 0593.31004
Carleson, Lennart
28
1985
On \(H^\infty\) in multiply connected domains. Zbl 0527.46048
Carleson, Lennart
28
1983
Selected problems on exceptional sets. Reprint. Orig. publ. 1967 by Van Nostrand, Princeton, N.J. Zbl 0505.00034
Carleson, Lennart
5
1983
Estimates of harmonic measures. Zbl 0521.30026
Carleson, Lennart
6
1982
BMO - 10 years’ development. Zbl 0495.46021
Carleson, Lennart
4
1981
Some analytic problems related to statistical mechanics. Zbl 0425.60091
Carleson, Lennart
92
1980
An explicit unconditional basis in \(H^1\). Zbl 0495.46020
Carleson, Lennart
14
1980
A remark on Denjoy’s inequality and Herman’s theorem. Zbl 0446.58014
Carleson, Lennart
1
1979
An example concerning analytic functions with finite Dirichlet integrals. Zbl 0449.30024
Carleson, Lennart
1
1979
Two remarks on \(H^1\) and BMO. Zbl 0357.46058
Carleson, Lennart
22
1976
Asymptotic paths for subharmonic functions in \(\mathbb R^n\). Zbl 0352.31004
Carleson, Lennart
1
1976
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
15
1975
The extension problem for quasiconformal mappings. Zbl 0304.30016
Carleson, Lennart
17
1974
On the distortion of sets on a Jordan curve under conformal mapping. Zbl 0273.30014
Carleson, Lennart
11
1973
Metric projections of \(L^p\) on \(H^p\). (Projections métriques de \(L^p\) sur \(H^p\).) Zbl 0269.42006
Carleson, Lennart
2
1973
Oscillatory integrals and a multiplier problem for the disc. Zbl 0215.18303
Carleson, Lennart; Sjölin, Per
147
1972
Best uniform approximation by analytic functions. Zbl 0248.30034
Carleson, Lennart; Jacobs, Sigvard
18
1972
Selected problems on exceptional sets. Translation from the English by V.P.Havin. Edited by V.G.Maz’ya. (Izbrannye problemy teorii isklyuchitel’nykh mnozhestv.) Zbl 0224.31001
Carleson, Lennart
22
1971
The corona theorem. Zbl 0195.42104
Carleson, Lennart
9
1970
Selected problems on exceptional sets. Zbl 0189.10903
Carleson, Lennart
242
1967
On mappings, conformal at the boundary. Zbl 0186.13701
Carleson, Lennart
48
1967
On convergence and growth of partial sums of Fourier series. Zbl 0144.06402
Carleson, Lennart
388
1966
Maximal functions and capacities. Zbl 0139.28701
Carleson, Lennart
1
1965
Mergelyan’s theorem on uniform polynomial approximation. Zbl 0163.08601
Carleson, Lennart
30
1964
Removable singularities of continuous harmonic functions in \(R^ m\). Zbl 0141.30203
Carleson, Lennart
21
1963
Interpolations by bounded analytic functions and the corona problem. Zbl 0192.16801
Carleson, Lennart
3
1963
Interpolations by bounded analytic functions and the corona problem. Zbl 0112.29702
Carleson, Lennart
479
1962
On the existence of boundary values for harmonic functions in several variables. Zbl 0107.08402
Carleson, Lennart
53
1962
On universal moment problems. Zbl 0114.05903
Carleson, Lennart
20
1961
A remark on Picard’s theorem. Zbl 0133.03601
Carleson, Lennart
7
1961
A representation formula for the Dirichlet integral. Zbl 0090.28603
Carleson, Lennart
47
1960
The analytic continuation of interpolatory functions. Zbl 0126.28803
Akutowicz, E. J.; Carleson, L.
6
1960
An interpolation problem for bounded analytic functions. Zbl 0085.06504
Carleson, Lennart
288
1958
On the connection between Hausdorff measures and capacity. Zbl 0078.09303
Carleson, Lennart
5
1958
Two remarks on the basic theorems of information theory. Zbl 0088.10603
Carleson, Lennart
4
1958
Representations of continuous functions. Zbl 0086.27702
Carleson, Lennart
26
1957
A proof of an inequality of Carleman. Zbl 0057.04802
Carleson, Lennart
5
1954
On infinite differential equations with constant coefficients. I. Zbl 0050.31101
Carleson, Lennart
9
1953
Sets of uniqueness for functions regular in the unit circle. Zbl 0046.30005
Carleson, Lennart
102
1952
On the zeros of functions with bounded Dirichlet integrals. Zbl 0047.07601
Carleson, Lennart
21
1952
On bounded analytic functions and closure problems. Zbl 0047.35301
Carleson, Lennart
10
1952
On Bernstein’s approximation problem. Zbl 0044.07002
Carleson, Lennart
16
1951
On nullsets for continuous analytic functions. Zbl 0042.30902
Carleson, Lennart
12
1951
On a class of meromorphic functions and its associated exceptional sets. Zbl 0036.04701
Carleson, Lennart
25
1950
all top 5

Cited by 2,836 Authors

33 Lu, Guozhen
23 Brudnyi, Alexander
21 Weisz, Ferenc
21 Yang, Yunyan
18 Lee, Sanghyuk
18 Young, Lai-Sang
17 Nguyễn Văn Hoàng
17 Nicolau, Artur
16 El-Fallah, Omar
16 Lacey, Michael T.
15 Gushchin, Anatoliĭ Konstantinovich
14 Do Ó, João M. Bezerra
14 Izuchi, Keiji
14 Kellay, Karim
14 Lam, Nguyen
14 Levin, Genadi M.
14 Ransford, Thomas J.
13 Chen, Lu
13 Lou, Zengjian
13 Lyubich, Mikhail
13 Prestini, Elena
13 Sogge, Christopher D.
13 Wick, Brett Duane
12 Carleson, Lennart
12 Girela, Daniel
12 Jones, Peter Wilcox
12 Luzzatto, Stefano
12 Pau, Jordi
12 Peláez, José Ángel
12 Seip, Kristian
12 Sjölin, Per
12 Zhang, Mengjie
11 Avkhadiev, Farit Gabidinovich
11 Comerford, Mark
11 Fagella, Núria
11 Hofmann, Steve
11 Jarque, Xavier
11 Martell, José María (Chema)
11 Mortini, Raymond
11 Rättyä, Jouni
11 Tao, Terence
11 Wang, Qiudong
11 Yan, Lixin
10 Bishop, Christopher James
10 Bourgain, Jean
10 Dyakonov, Konstantin M.
10 Grafakos, Loukas
10 Kenig, Carlos Eduardo
10 Przytycki, Feliks
10 Richter, Stefan
10 Rivera-Letelier, Juan
10 Ruf, Bernhard
10 Wang, Maofa
10 Zhu, Maochun
9 Bloshanskii, Igor L.
9 Chen, Peng
9 Ding, Yong
9 Fan, Dashan
9 Hedenmalm, Håkan
9 Li, Songxiao
9 Makarov, Nikolai Georgievich
9 Niu, Yaoming
9 Rodríguez, José Angel
9 Sola, Alan A.
9 Sundberg, Carl-Erik W.
9 Świątek, Grzegorz
9 Takahasi, Hiroki
9 Trent, Tavan T.
9 Tugores, Francesc Martorell
9 Xiao, Jie
8 Alves, José Ferreira
8 Barański, Krzysztof
8 Brennan, James E.
8 Cao, Yongluo
8 Gonchenko, Sergeĭ Vladimirovich
8 Gorkin, Pamela B.
8 Graczyk, Jacek
8 Gutlyanskiĭ, Vladimir Ya.
8 Li, Junfeng
8 Mazalov, Maksim Ya.
8 Ricci, Paolo Emilio
8 Rohde, Steffen
8 Seeger, Andreas
8 Thiele, Christoph Martin
8 Volberg, Alexander Lvovich
7 Adams, David Randolph
7 Amar, Eric
7 Aspenberg, Magnus
7 Bao, Guanlong
7 Benedicks, Michael
7 Damanik, David
7 Fornæss, John Erik
7 Garijo, Antonio
7 González, María José
7 Khavin, Viktor Petrovich
7 Izuchi, Yuko
7 Lewis, John L.
7 Melbourne, Ian
7 Nyström, Kaj
7 Pokrovskii, Andrei Vladimirovich
...and 2,736 more Authors
all top 5

Cited in 391 Serials

149 Journal of Functional Analysis
133 Transactions of the American Mathematical Society
117 Proceedings of the American Mathematical Society
104 Journal of Mathematical Analysis and Applications
78 Journal d’Analyse Mathématique
76 Advances in Mathematics
73 Arkiv för Matematik
56 Communications in Mathematical Physics
56 The Journal of Geometric Analysis
54 Mathematische Annalen
49 Ergodic Theory and Dynamical Systems
48 Mathematische Zeitschrift
43 Annales de l’Institut Fourier
41 Journal of Soviet Mathematics
41 The Journal of Fourier Analysis and Applications
39 Journal of Approximation Theory
37 Integral Equations and Operator Theory
36 Mathematical Notes
34 Computational Methods and Function Theory
33 Inventiones Mathematicae
33 Acta Mathematica Sinica. English Series
31 Complex Analysis and Operator Theory
30 Acta Mathematica
29 Duke Mathematical Journal
28 Potential Analysis
28 Complex Variables and Elliptic Equations
27 Journal of Mathematical Sciences (New York)
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Chaos, Solitons and Fractals
25 Journal of Differential Equations
25 Calculus of Variations and Partial Differential Equations
24 Revista Matemática Iberoamericana
24 St. Petersburg Mathematical Journal
23 Discrete and Continuous Dynamical Systems
23 Bulletin of the American Mathematical Society
22 Israel Journal of Mathematics
21 Mathematische Nachrichten
21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
20 Analysis Mathematica
19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 Siberian Mathematical Journal
18 Bulletin of the American Mathematical Society. New Series
18 Journal of the European Mathematical Society (JEMS)
17 Archiv der Mathematik
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Tôhoku Mathematical Journal. Second Series
16 Conformal Geometry and Dynamics
15 Journal of Statistical Physics
15 Annali di Matematica Pura ed Applicata. Serie Quarta
15 Journal of the London Mathematical Society. Second Series
15 Physica D
15 Journal of the American Mathematical Society
15 Chaos
15 Analysis and Mathematical Physics
14 Ukrainian Mathematical Journal
13 Proceedings of the Steklov Institute of Mathematics
12 Nonlinearity
12 Rocky Mountain Journal of Mathematics
12 Acta Mathematica Hungarica
12 Science in China. Series A
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Indagationes Mathematicae. New Series
12 Dynamical Systems
12 Science China. Mathematics
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Topology and its Applications
11 Journal of Difference Equations and Applications
11 Communications on Pure and Applied Analysis
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Michigan Mathematical Journal
10 Constructive Approximation
10 Geometric and Functional Analysis. GAFA
10 Journal of Dynamics and Differential Equations
10 Annals of Mathematics. Second Series
10 Acta Mathematica Scientia. Series B. (English Edition)
10 Stochastics and Dynamics
9 Proceedings of the London Mathematical Society. Third Series
9 Probability Theory and Related Fields
9 Bulletin des Sciences Mathématiques
9 Doklady Mathematics
9 Journal of Inequalities and Applications
8 Bulletin de la Société Mathématique de France
8 Canadian Mathematical Bulletin
8 Monatshefte für Mathematik
8 Nagoya Mathematical Journal
8 Sbornik: Mathematics
8 Frontiers of Mathematics in China
8 Analysis & PDE
7 Studia Mathematica
7 The Annals of Probability
7 Collectanea Mathematica
7 Functional Analysis and its Applications
7 Indiana University Mathematics Journal
7 Memoirs of the American Mathematical Society
7 Results in Mathematics
7 Forum Mathematicum
7 Linear Algebra and its Applications
7 Annales Academiae Scientiarum Fennicae. Mathematica
7 Regular and Chaotic Dynamics
6 Applied Mathematics and Computation
...and 291 more Serials
all top 5

Cited in 58 Fields

909 Functions of a complex variable (30-XX)
728 Dynamical systems and ergodic theory (37-XX)
637 Harmonic analysis on Euclidean spaces (42-XX)
588 Functional analysis (46-XX)
467 Partial differential equations (35-XX)
374 Operator theory (47-XX)
254 Potential theory (31-XX)
239 Several complex variables and analytic spaces (32-XX)
144 Real functions (26-XX)
117 Measure and integration (28-XX)
115 Probability theory and stochastic processes (60-XX)
97 Approximations and expansions (41-XX)
87 Ordinary differential equations (34-XX)
72 Global analysis, analysis on manifolds (58-XX)
48 Abstract harmonic analysis (43-XX)
46 Number theory (11-XX)
35 Quantum theory (81-XX)
35 Statistical mechanics, structure of matter (82-XX)
34 Numerical analysis (65-XX)
27 Difference and functional equations (39-XX)
25 Sequences, series, summability (40-XX)
25 Integral transforms, operational calculus (44-XX)
24 General topology (54-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
20 Systems theory; control (93-XX)
19 History and biography (01-XX)
19 Differential geometry (53-XX)
16 Special functions (33-XX)
14 Information and communication theory, circuits (94-XX)
12 Topological groups, Lie groups (22-XX)
12 Manifolds and cell complexes (57-XX)
12 Mechanics of particles and systems (70-XX)
11 Computer science (68-XX)
11 Fluid mechanics (76-XX)
10 General and overarching topics; collections (00-XX)
10 Combinatorics (05-XX)
10 Field theory and polynomials (12-XX)
10 Integral equations (45-XX)
10 Statistics (62-XX)
9 Algebraic geometry (14-XX)
9 Group theory and generalizations (20-XX)
9 Convex and discrete geometry (52-XX)
8 Biology and other natural sciences (92-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Mathematical logic and foundations (03-XX)
5 Relativity and gravitational theory (83-XX)
3 Commutative algebra (13-XX)
3 Geometry (51-XX)
3 Operations research, mathematical programming (90-XX)
2 Associative rings and algebras (16-XX)
2 Mechanics of deformable solids (74-XX)
2 Geophysics (86-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 \(K\)-theory (19-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Mathematics education (97-XX)

Citations by Year

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