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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: 70 Publications since 1950, including 5 Books
3 Further Contributions
Biographic References: 12 Publications
Co-Authors: 15 Co-Authors with 18 Joint Publications
438 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 2,999 times in 2,558 Documents Cited by Year
Interpolations by bounded analytic functions and the corona problem. Zbl 0112.29702
Carleson, Lennart
389
1962
On convergence and growth of partial sums of Fourier series. Zbl 0144.06402
Carleson, Lennart
328
1966
Complex dynamics. Zbl 0782.30022
Carleson, Lennart; Gamelin, Theodore W.
296
1993
The dynamics of the Hénon map. Zbl 0724.58042
Benedicks, Michael; Carleson, Lennart
271
1991
An interpolation problem for bounded analytic functions. Zbl 0085.06504
Carleson, Lennart
237
1958
Selected problems on exceptional sets. Zbl 0189.10903
Carleson, Lennart
205
1967
On the existence of an external function for an inequality of J. Moser. Zbl 0619.58013
Carleson, Lennart; Chang, Sun-Yung A.
171
1986
Oscillatory integrals and a multiplier problem for the disc. Zbl 0215.18303
Carleson, Lennart; Sjölin, P.
120
1972
On iterations of \(1-\alpha x^2\) on \((-1,1)\). Zbl 0597.58016
Benedicks, Michael; Carleson, Lennart
114
1985
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
96
1989
Sets of uniqueness for functions regular in the unit circle. Zbl 0046.30005
Carleson, Lennart
88
1952
On the existence of boundary values for harmonic functions in several variables. Zbl 0107.08402
Carleson, Lennart
52
1962
Julia and John. Zbl 0804.30023
Carleson, Lennart; Jones, Peter W.; Yoccoz, Jean-Christophe
44
1994
A representation formula for the Dirichlet integral. Zbl 0090.28603
Carleson, Lennart
43
1960
On mappings, conformal at the boundary. Zbl 0186.13701
Carleson, Lennart
41
1967
On coefficient problems for univalent functions and conformal dimension. Zbl 0765.30005
Carleson, Lennart; Jones, Peter W.
35
1992
Mergelyan’s theorem on uniform polynomial approximation. Zbl 0163.08601
Carleson, Lennart
27
1964
Hölder continuity of Green’s functions. Zbl 1076.30026
Carleson, Lennart; Totik, Vilmos
25
2004
On the support of harmonic measure for sets of Cantor type. Zbl 0593.31004
Carleson, Lennart
25
1985
On a class of meromorphic functions and its associated exceptional sets. Zbl 0036.04701
Carleson, Lennart
23
1950
Some results connected with Brennan’s conjecture. Zbl 0805.30018
Carleson, Lennart; Makarov, Nikolai G.
20
1994
Representations of continuous functions. Zbl 0086.27702
Carleson, Lennart
20
1957
Removable singularities of continuous harmonic functions in \(R^ m\). Zbl 0141.30203
Carleson, Lennart
20
1963
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
20
1971
On the zeros of functions with bounded Dirichlet integrals. Zbl 0047.07601
Carleson, Lennart
19
1952
Two remarks on \(H^1\) and BMO. Zbl 0357.46058
Carleson, Lennart
18
1976
On universal moment problems. Zbl 0114.05903
Carleson, Lennart
18
1961
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
18
1989
Best uniform approximation by analytic functions. Zbl 0248.30034
Carleson, Lennart; Jacobs, Sigvard
18
1972
Aggregation in the plane and Loewner’s equation. Zbl 1042.82039
Carleson, Lennart; Makarov, N.
17
2001
Laplacian path models. Zbl 1040.30011
Carleson, Lennart; Makarov, N.
16
2002
On Bernstein’s approximation problem. Zbl 0044.07002
Carleson, Lennart
14
1951
Some analytic problems related to statistical mechanics. Zbl 0425.60091
Carleson, Lennart
13
1980
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
13
1975
An explicit unconditional basis in \(H^1\). Zbl 0495.46020
Carleson, Lennart
13
1980
On the distortion of sets on a Jordan curve under conformal mapping. Zbl 0273.30014
Carleson, Lennart
11
1973
On nullsets for continuous analytic functions. Zbl 0042.30902
Carleson, Lennart
10
1951
The extension problem for quasiconformal mappings. Zbl 0304.30016
Carleson, Lennart
9
1974
On bounded analytic functions and closure problems. Zbl 0047.35301
Carleson, Lennart
9
1952
On infinite differential equations with constant coefficients. I. Zbl 0050.31101
Carleson, Lennart
8
1953
The Corona theorem. Zbl 0195.42104
Carleson, Lennart
8
1970
On \(H^\infty\) in multiply connected domains. Zbl 0527.46048
Carleson, Lennart
7
1983
The analytic continuation of interpolatory functions. Zbl 0126.28803
Akutowicz, E. J.; Carleson, L.
6
1960
A remark on Picard’s theorem. Zbl 0133.03601
Carleson, Lennart
6
1961
Estimates of harmonic measures. Zbl 0521.30026
Carleson, Lennart
6
1982
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
Two remarks on the basic theorems of information theory. Zbl 0088.10603
Carleson, Lennart
4
1958
Wiener’s Tauberian theorem. Zbl 0881.42001
Carleson, Lennart
3
1997
Selected problems on exceptional sets. Reprint. Orig. publ. 1967 by Van Nostrand, Princeton, N.J. Zbl 0505.00034
Carleson, Lennart
3
1983
Stochastic models of some dynamical systems. Zbl 0777.58023
Carleson, Lennart
2
1991
Metric projections of \(L^p\) on \(H^p\). (Projections métriques de \(L^p\) sur \(H^p\).) Zbl 0269.42006
Carleson, Lennart
2
1973
Interpolations by bounded analytic functions and the corona problem. Zbl 0192.16801
Carleson, Lennart
2
1963
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
BMO - 10 years’ development. Zbl 0495.46021
Carleson, Lennart
1
1981
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
Hölder continuity of Green’s functions. Zbl 1076.30026
Carleson, Lennart; Totik, Vilmos
25
2004
Laplacian path models. Zbl 1040.30011
Carleson, Lennart; Makarov, N.
16
2002
Aggregation in the plane and Loewner’s equation. Zbl 1042.82039
Carleson, Lennart; Makarov, N.
17
2001
Lars Ahlfors and the Painlevé problem. Zbl 0959.30013
Carleson, Lennart
1
2000
Wiener’s Tauberian theorem. Zbl 0881.42001
Carleson, Lennart
3
1997
Julia and John. Zbl 0804.30023
Carleson, Lennart; Jones, Peter W.; Yoccoz, Jean-Christophe
44
1994
Some results connected with Brennan’s conjecture. Zbl 0805.30018
Carleson, Lennart; Makarov, Nikolai G.
20
1994
Complex dynamics. Zbl 0782.30022
Carleson, Lennart; Gamelin, Theodore W.
296
1993
On coefficient problems for univalent functions and conformal dimension. Zbl 0765.30005
Carleson, Lennart; Jones, Peter W.
35
1992
The dynamics of the Hénon map. Zbl 0724.58042
Benedicks, Michael; Carleson, Lennart
271
1991
Stochastic models of some dynamical systems. Zbl 0777.58023
Carleson, Lennart
2
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
96
1989
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
18
1989
On the existence of an external function for an inequality of J. Moser. Zbl 0619.58013
Carleson, Lennart; Chang, Sun-Yung A.
171
1986
On iterations of \(1-\alpha x^2\) on \((-1,1)\). Zbl 0597.58016
Benedicks, Michael; Carleson, Lennart
114
1985
On the support of harmonic measure for sets of Cantor type. Zbl 0593.31004
Carleson, Lennart
25
1985
On \(H^\infty\) in multiply connected domains. Zbl 0527.46048
Carleson, Lennart
7
1983
Selected problems on exceptional sets. Reprint. Orig. publ. 1967 by Van Nostrand, Princeton, N.J. Zbl 0505.00034
Carleson, Lennart
3
1983
Estimates of harmonic measures. Zbl 0521.30026
Carleson, Lennart
6
1982
BMO - 10 years’ development. Zbl 0495.46021
Carleson, Lennart
1
1981
Some analytic problems related to statistical mechanics. Zbl 0425.60091
Carleson, Lennart
13
1980
An explicit unconditional basis in \(H^1\). Zbl 0495.46020
Carleson, Lennart
13
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
18
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
13
1975
The extension problem for quasiconformal mappings. Zbl 0304.30016
Carleson, Lennart
9
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, P.
120
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
20
1971
The Corona theorem. Zbl 0195.42104
Carleson, Lennart
8
1970
Selected problems on exceptional sets. Zbl 0189.10903
Carleson, Lennart
205
1967
On mappings, conformal at the boundary. Zbl 0186.13701
Carleson, Lennart
41
1967
On convergence and growth of partial sums of Fourier series. Zbl 0144.06402
Carleson, Lennart
328
1966
Maximal functions and capacities. Zbl 0139.28701
Carleson, Lennart
1
1965
Mergelyan’s theorem on uniform polynomial approximation. Zbl 0163.08601
Carleson, Lennart
27
1964
Removable singularities of continuous harmonic functions in \(R^ m\). Zbl 0141.30203
Carleson, Lennart
20
1963
Interpolations by bounded analytic functions and the corona problem. Zbl 0192.16801
Carleson, Lennart
2
1963
Interpolations by bounded analytic functions and the corona problem. Zbl 0112.29702
Carleson, Lennart
389
1962
On the existence of boundary values for harmonic functions in several variables. Zbl 0107.08402
Carleson, Lennart
52
1962
On universal moment problems. Zbl 0114.05903
Carleson, Lennart
18
1961
A remark on Picard’s theorem. Zbl 0133.03601
Carleson, Lennart
6
1961
A representation formula for the Dirichlet integral. Zbl 0090.28603
Carleson, Lennart
43
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
237
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
20
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
8
1953
Sets of uniqueness for functions regular in the unit circle. Zbl 0046.30005
Carleson, Lennart
88
1952
On the zeros of functions with bounded Dirichlet integrals. Zbl 0047.07601
Carleson, Lennart
19
1952
On bounded analytic functions and closure problems. Zbl 0047.35301
Carleson, Lennart
9
1952
On Bernstein’s approximation problem. Zbl 0044.07002
Carleson, Lennart
14
1951
On nullsets for continuous analytic functions. Zbl 0042.30902
Carleson, Lennart
10
1951
On a class of meromorphic functions and its associated exceptional sets. Zbl 0036.04701
Carleson, Lennart
23
1950
all top 5

Cited by 2,339 Authors

28 Lu, Guozhen
19 Yang, Yunyan
18 Young, Lai-Sang
15 Brudnyi, Alexander
15 Lacey, Michael T.
15 Nguyễn Văn Hoàng
15 Nicolau, Artur
14 El-Fallah, Omar
14 Izuchi, Keiji
14 Kellay, Karim
14 Weisz, Ferenc
13 Gushchin, Anatoliĭ Konstantinovich
13 Lam, Nguyen
13 Levin, Genadi M.
13 Prestini, Elena
13 Ransford, Thomas J.
12 Carleson, Lennart
12 Do Ó, João M. Bezerra
12 Girela, Daniel
12 Luzzatto, Stefano
12 Peláez, José Ángel
12 Seip, Kristian
12 Sogge, Christopher D.
12 Wick, Brett D.
11 Jones, Peter Wilcox
11 Lou, Zengjian
11 Mortini, Raymond
11 Rättyä, Jouni
11 Wang, Qiudong
10 Avkhadiev, Farit Gabidinovich
10 Bishop, Christopher James
10 Hofmann, Steve
10 Lyubich, Mikhail
10 Martell, José María (Chema)
10 Pau, Jordi
10 Tao, Terence
9 Bloshanskii, Igor L.
9 Comerford, Mark
9 Grafakos, Loukas
9 Hedenmalm, Håkan
9 Rivera-Letelier, Juan
9 Takahasi, Hiroki
9 Trent, Tavan T.
9 Tugores, Francesc Martorell
8 Alves, José Ferreira
8 Bourgain, Jean
8 Cao, Yongluo
8 Dyakonov, Konstantin M.
8 Gorkin, Pamela B.
8 Kenig, Carlos Eduardo
8 Lee, Sanghyuk
8 Przytycki, Feliks
8 Ricci, Paolo Emilio
8 Ruf, Bernhard
8 Sjölin, Per
8 Sola, Alan A.
8 Sundberg, Carl-Erik W.
8 Thiele, Christoph Martin
7 Amar, Eric
7 Fagella, Núria
7 Gonchenko, Sergey V.
7 González, María José
7 Gutlyanskiĭ, Vladimir Ya.
7 Khavin, Viktor Petrovich
7 Izuchi, Yuko
7 Jarque, Xavier
7 Makarov, Nikolai Georgievich
7 Melbourne, Ian
7 Nyström, Kaj
7 Richter, Stefan
7 Rodríguez-Piazza, Luis
7 Rohde, Steffen
7 Shirokov, Nikolaĭ Alekseevich
7 Sibony, Nessim
7 Treil, Sergei
7 Viana, Marcelo
6 Adams, David Randolph
6 Andrievskii, Vladimir V.
6 Barański, Krzysztof
6 Berger, Pierre
6 Bergweiler, Walter
6 Białas-Cież, Leokadia
6 Brennan, James E.
6 Chen, Lu
6 Chen, Peng
6 Christ, Michael
6 Colonna, Flavia
6 Díaz, Lorenzo Justiniano
6 Doubtsov, Evgueni Sergeevich
6 Fan, Dashan
6 Fornæss, John Erik
6 Lu, Shanzhen
6 Mancini, Gabriele
6 Mashreghi, Javad
6 Mayboroda, Svitlana
6 Oksasoglu, Ali
6 Qian, Ruishen
6 Queffélec, Hervé
6 Rodríguez, José Angel
6 Ryazanov, Vladimir Il’ich
...and 2,239 more Authors
all top 5

Cited in 332 Serials

128 Journal of Functional Analysis
125 Transactions of the American Mathematical Society
108 Proceedings of the American Mathematical Society
83 Journal of Mathematical Analysis and Applications
70 Arkiv för Matematik
68 Journal d’Analyse Mathématique
58 Advances in Mathematics
50 Mathematische Annalen
49 Communications in Mathematical Physics
44 Ergodic Theory and Dynamical Systems
42 Annales de l’Institut Fourier
41 Journal of Soviet Mathematics
41 The Journal of Geometric Analysis
39 Mathematische Zeitschrift
35 Mathematical Notes
35 Integral Equations and Operator Theory
33 Journal of Approximation Theory
31 Inventiones Mathematicae
30 Acta Mathematica
29 The Journal of Fourier Analysis and Applications
29 Computational Methods and Function Theory
28 Duke Mathematical Journal
26 Acta Mathematica Sinica. English Series
25 Complex Analysis and Operator Theory
23 Bulletin of the American Mathematical Society
22 Journal of Differential Equations
22 Potential Analysis
22 Journal of Mathematical Sciences (New York)
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Chaos, Solitons and Fractals
19 Revista Matemática Iberoamericana
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 Calculus of Variations and Partial Differential Equations
19 St. Petersburg Mathematical Journal
18 Analysis Mathematica
18 Israel Journal of Mathematics
18 Siberian Mathematical Journal
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17 Archiv der Mathematik
17 Complex Variables and Elliptic Equations
16 Tohoku Mathematical Journal. Second Series
16 Bulletin of the American Mathematical Society. New Series
15 Journal of Statistical Physics
15 Journal of the American Mathematical Society
15 Conformal Geometry and Dynamics
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Physica D
13 Journal of the European Mathematical Society (JEMS)
13 Proceedings of the Steklov Institute of Mathematics
12 Ukrainian Mathematical Journal
12 Science in China. Series A
12 Discrete and Continuous Dynamical Systems
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Chaos
11 Dynamical Systems
10 Mathematische Nachrichten
10 Michigan Mathematical Journal
10 Constructive Approximation
10 Geometric and Functional Analysis. GAFA
10 Indagationes Mathematicae. New Series
10 Communications on Pure and Applied Analysis
10 Science China. Mathematics
10 Analysis and Mathematical Physics
9 Rocky Mountain Journal of Mathematics
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Topology and its Applications
9 Acta Mathematica Hungarica
9 Annals of Mathematics. Second Series
9 Stochastics and Dynamics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Monatshefte für Mathematik
8 Nagoya Mathematical Journal
8 Journal of Dynamics and Differential Equations
8 Journal of Difference Equations and Applications
8 Doklady Mathematics
7 Nonlinearity
7 The Annals of Probability
7 Bulletin de la Société Mathématique de France
7 Collectanea Mathematica
7 Probability Theory and Related Fields
7 Linear Algebra and its Applications
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Functional Analysis and its Applications
6 Publications Mathématiques
6 Kodai Mathematical Journal
6 Memoirs of the American Mathematical Society
6 Results in Mathematics
6 Experimental Mathematics
6 Bulletin des Sciences Mathématiques
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Frontiers of Mathematics in China
6 Nonlinear Analysis. Theory, Methods & Applications
5 Bulletin of the Australian Mathematical Society
5 Lithuanian Mathematical Journal
5 Applied Mathematics and Computation
5 Czechoslovak Mathematical Journal
5 Publicacions Matemàtiques
5 International Journal of Mathematics
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Boletim da Sociedade Brasileira de Matemática. Nova Série
...and 232 more Serials
all top 5

Cited in 55 Fields

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

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