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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, J.; Garnett, J. B.; Garnett, John; Garnett, John B.; Garnett, John Brady
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Documents Indexed: 62 Publications since 1966, including 8 Books

Publications by Year

Citations contained in zbMATH

52 Publications have been cited 2,204 times in 2,003 Documents Cited by Year
Bounded analytic functions. Zbl 0469.30024
Garnett, John B.
1981
Bounded analytic functions. Revised 1st ed. Zbl 1106.30001
Garnett, John B.
147
2006
Harmonic measure. Zbl 1077.31001
Garnett, John B.; Marshall, Donald E.
130
2005
Analytic capacity and measure. Zbl 0253.30014
Garnett, John
94
1972
Gaps and bands of one dimensional periodic Schrödinger operators. Zbl 0554.34013
Garnett, John; Trubowitz, Eugene
45
1984
BMO from dyadic BMO. Zbl 0516.46021
Garnett, John B.; Jones, Peter W.
38
1982
The distance in BMO to \(L^\infty\). Zbl 0383.26010
Garnett, John B.; Jones, Peter W.
32
1978
Bounded analytic functions. (Ogranichennye analiticheskie funktsii). Transl. from the English. Zbl 0542.30003
Garnett, John B.
29
1984
Positive length but zero analytic capacity. Zbl 0208.09803
Garnett, J.
28
1970
Uniform approximation to bounded analytic functions. Zbl 0225.30039
Gamelin, T. W.; Garnett, John
27
1970
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
22
1987
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
19
2012
Harmonic measure. Paperback reprint of the hardback edition 2005. Zbl 1139.31001
Garnett, John B.; Marshall, Donald E.
19
2008
Distance estimates and pointwise bounded density. Zbl 0263.30033
Davie, A. M.; Gamelin, T. W.; Garnett, J.
19
1973
Distinguished homomorphisms and fiber algebras. Zbl 0212.15302
Gamelin, T. W.; Garnett, J.
19
1970
Constructive techniques in rational approximation. Zbl 0193.03501
Gamelin, T. W.; Garnett, J.
18
1969
A doubling measure on \(\mathbb {R}^d\) can charge a rectifiable curve. Zbl 1196.28007
Garnett, John; Killip, Rowan; Schul, Raanan
16
2010
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
16
1989
Conformally invariant length sums. Zbl 0541.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
16
1983
The atomic decomposition for Hardy spaces in several complex variables. Zbl 0403.32006
Garnett, John B.; Latter, Robert H.
16
1978
Image decompositions using bounded variation and generalized homogeneous Besov spaces. Zbl 1118.68176
Garnett, John B.; Le, Triet M.; Meyer, Yves; Vese, Luminita A.
15
2007
Interpolating sequences for bounded harmonic functions. Zbl 0236.30042
Garnett, John
12
1971
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
11
1975
Bounded approximation by rational functions. Zbl 0244.30038
Gamelin, T. W.; Garnett, John
11
1973
Uniform rectifiability from Carleson measure estimates and \(\epsilon\)-approximability of bounded harmonic functions. Zbl 1396.28005
Garnett, John; Mourgoglou, Mihalis; Tolsa, Xavier
10
2018
Interpolating Blaschke products generate \(H^ \infty\). Zbl 0871.30031
Garnett, John; Nicolau, Artur
10
1996
The distance in BMO to \(L^\infty\). Zbl 0358.26010
Garnett, John B.; Jones, Peter W.
9
1978
Quasiextremal distance domains and integrability of derivatives of conformal mappings. Zbl 0809.30005
Garnett, John B.; Yang, Shanshuang
8
1994
Applications of harmonic measure. Zbl 0623.31001
Garnett, John B.
8
1986
Square functions and uniform rectifiability. Zbl 1343.42010
Chousionis, Vasileios; Garnett, John; Le, Triet; Tolsa, Xavier
7
2016
On badly approximable functions. Zbl 0337.30028
Gamelin, T. W.; Garnett, J. B.; Rubel, L. A.; Shields, A. L.
6
1976
On a theorem of Mergelyan. Zbl 0165.15904
Garnett, J.
6
1968
Algebras with the same multiplicative measures. Zbl 0159.42101
Garnett, J.; Glicksberg, I.
6
1967
Algebras generated by inner functions. Zbl 0348.46044
Bernard, Alain; Garnett, John B.; Marshall, Donald E.
5
1977
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
4
2016
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.
4
2011
Lipschitz harmonic capacity and bilipschitz images of Cantor sets. Zbl 1108.31005
Garnett, John; Prat, Laura; Tolsa, Xavier
4
2006
Weights and L log L. Zbl 0584.42013
Carbery, A.; Chang, S.-Y. A.; Garnett, J.
4
1985
Two remarks on interpolation by bounded analytic functions. Zbl 0376.30010
Garnett, John B.
4
1977
Pointwise bounded approximation and hypodirichlet algebras. Zbl 0206.12802
Gamelin, T. W.; Garnett, J.
3
1971
Metric conditions for rational approximation. Zbl 0268.46048
Garnett, John
3
1970
A topological characterization of Gleason parts. Zbl 0145.38701
Garnett, J.
3
1967
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
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
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
Sobolev approximation by a sum of subalgebras on the circle. Zbl 0348.30035
Garnett, John B.; O’Farrell, Anthony G.
1
1976
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
10
2018
Square functions and uniform rectifiability. Zbl 1343.42010
Chousionis, Vasileios; Garnett, John; Le, Triet; Tolsa, Xavier
7
2016
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
4
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
19
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.
4
2011
A doubling measure on \(\mathbb {R}^d\) can charge a rectifiable curve. Zbl 1196.28007
Garnett, John; Killip, Rowan; Schul, Raanan
16
2010
Harmonic measure. Paperback reprint of the hardback edition 2005. Zbl 1139.31001
Garnett, John B.; Marshall, Donald E.
19
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.
15
2007
Bounded analytic functions. Revised 1st ed. Zbl 1106.30001
Garnett, John B.
147
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.
130
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.
16
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
22
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.
4
1985
Gaps and bands of one dimensional periodic Schrödinger operators. Zbl 0554.34013
Garnett, John; Trubowitz, Eugene
45
1984
Bounded analytic functions. (Ogranichennye analiticheskie funktsii). Transl. from the English. Zbl 0542.30003
Garnett, John B.
29
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.
38
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.
32
1978
The atomic decomposition for Hardy spaces in several complex variables. Zbl 0403.32006
Garnett, John B.; Latter, Robert H.
16
1978
The distance in BMO to \(L^\infty\). Zbl 0358.26010
Garnett, John B.; Jones, Peter W.
9
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.
4
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.
1
1976
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
11
1975
Distance estimates and pointwise bounded density. Zbl 0263.30033
Davie, A. M.; Gamelin, T. W.; Garnett, J.
19
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
94
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.
28
1970
Uniform approximation to bounded analytic functions. Zbl 0225.30039
Gamelin, T. W.; Garnett, John
27
1970
Distinguished homomorphisms and fiber algebras. Zbl 0212.15302
Gamelin, T. W.; Garnett, J.
19
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.
18
1969
On a theorem of Mergelyan. Zbl 0165.15904
Garnett, J.
6
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.
3
1967
all top 5

Cited by 1,794 Authors

42 Mortini, Raymond
29 Gorkin, Pamela B.
28 Izuchi, Keiji
28 Korotyaev, Evgeny L.
26 Dyakonov, Konstantin M.
25 Qian, Tao
19 Nicolau, Artur
18 Rättyä, Jouni
17 Bishop, Christopher James
17 Zheng, Dechao
16 Baratchart, Laurent
15 Karlovich, Yuri I.
15 Tolsa, Xavier
14 Akeroyd, John R.
14 Girela, Daniel
14 Wick, Brett D.
13 Gamelin, Theodore W.
13 Treil, Sergei
13 Wulan, Hasi
13 Xia, Jingbo
12 Brudnyi, Alexander
12 Leblond, Juliette
12 Lou, Zengjian
12 Peláez, José Ángel
12 Totik, Vilmos
12 Wu, Zhijian
11 Boche, Holger
11 Hedenmalm, Håkan
11 Izuchi, Yuko
11 Jones, Peter Wilcox
11 Nakazi, Takahiko
11 Ross, William T. jun.
10 Baranov, Anton D.
10 Borichev, Aleksandr Aleksandrovich
10 Ding, Shusen
10 Hartmann, Andreas
10 Liu, Taishun
10 Lubinsky, Doron S.
10 Ransford, Thomas J.
10 Shen, Yuliang
10 Xiao, Jie
10 Zinsmeister, Michel
9 Böttcher, Albrecht
9 Gallardo-Gutiérrez, Eva Antonia
9 Garnett, John Brady
9 Ghatage, Pratibha G.
9 Guo, Kunyu
9 McNicholl, Timothy H.
9 Ohno, Shûichi
9 Pérez-González, Fernando
9 Saksman, Eero
9 Sundberg, Carl-Erik W.
9 Tang, Xiaomin
9 Volberg, Alexander Lvovich
9 Yuditskii, Peter Meerovich
9 Zhu, Kehe
8 Aleksandrov, Aleksei B.
8 Astala, Kari
8 Blasco, Oscar
8 González, María José
8 Gubreev, Gennadiĭ Mykhaĭlovych
8 Hofmann, Steve
8 Khavinson, Dmitry S.
8 Lindström, Mikael
8 Matheson, Alec L.
8 Nieminen, Pekka J.
8 Partington, Jonathan R.
8 Pipher, Jill Catherine
8 Smith, Wayne Stewart
8 Thomas, Pascal J.
8 Toro, Tatiana
8 Wegert, Elias
7 Azzam, Jonas
7 Bao, Guanlong
7 Kenig, Carlos Eduardo
7 Massaneda, Xavier
7 Nestoridis, Vassili
7 Pau, Jordi
7 Pavlović, Miroslav
7 Tan, Lihui
7 Tannenbaum, Allen Robert
7 Trent, Tavan T.
7 Wei, Huaying
7 Yang, Shanshuang
7 Younis, Rahman M.
6 Betsakos, Dimitrios
6 Chen, Qiuhui
6 Cima, Joseph A.
6 Davie, Alexander M.
6 El-Fallah, Omar
6 Huang, Hansong
6 Kalaj, David
6 Laitila, Jussi
6 Li, Songxiao
6 Lyubarskii, Yurii I.
6 Marshall, Donald E.
6 Mashreghi, Javad
6 McCarthy, John Edward
6 Mourgoglou, Mihalis
6 Qian, Ruishen
...and 1,694 more Authors
all top 5

Cited in 264 Serials

168 Journal of Functional Analysis
137 Journal of Mathematical Analysis and Applications
121 Proceedings of the American Mathematical Society
106 Transactions of the American Mathematical Society
72 Journal d’Analyse Mathématique
71 Integral Equations and Operator Theory
47 Journal of Approximation Theory
43 Arkiv för Matematik
36 Complex Analysis and Operator Theory
35 Advances in Mathematics
33 Computational Methods and Function Theory
31 Journal of Mathematical Sciences (New York)
29 The Journal of Geometric Analysis
28 Mathematische Annalen
26 Mathematical Notes
25 Mathematische Zeitschrift
25 St. Petersburg Mathematical Journal
21 Bulletin of the Australian Mathematical Society
21 Rocky Mountain Journal of Mathematics
21 Annales de l’Institut Fourier
20 Duke Mathematical Journal
18 Archiv der Mathematik
18 Functional Analysis and its Applications
18 Journal of Soviet Mathematics
16 Israel Journal of Mathematics
15 Communications in Mathematical Physics
15 Journal of Differential Equations
15 Constructive Approximation
15 Revista Matemática Iberoamericana
14 Systems & Control Letters
14 The Journal of Fourier Analysis and Applications
13 Ukrainian Mathematical Journal
13 Acta Mathematica
13 Journal of the American Mathematical Society
13 Linear Algebra and its Applications
12 Proceedings of the Edinburgh Mathematical Society. Series II
12 Annales Academiae Scientiarum Fennicae. Mathematica
12 Science China. Mathematics
11 Inventiones Mathematicae
11 Mathematische Nachrichten
11 Indagationes Mathematicae. New Series
11 Potential Analysis
10 Automatica
10 Acta Mathematica Sinica. English Series
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Illinois Journal of Mathematics
9 Probability Theory and Related Fields
9 Abstract and Applied Analysis
9 Journal of the Australian Mathematical Society
8 Collectanea Mathematica
8 Siberian Mathematical Journal
8 Calculus of Variations and Partial Differential Equations
7 Journal of Computational and Applied Mathematics
7 Memoirs of the American Mathematical Society
7 Michigan Mathematical Journal
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Results in Mathematics
6 Tohoku Mathematical Journal. Second Series
6 Topology and its Applications
6 Physica D
6 Science in China. Series A
6 Russian Mathematics
6 Applied and Computational Harmonic Analysis
6 Bulletin des Sciences Mathématiques
6 International Journal of Wavelets, Multiresolution and Information Processing
6 Bulletin of the American Mathematical Society
6 Analysis and Mathematical Physics
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 Czechoslovak Mathematical Journal
5 Quaestiones Mathematicae
5 Geometric and Functional Analysis. GAFA
5 Communications in Partial Differential Equations
5 Applied Mathematics. Series B (English Edition)
5 Russian Journal of Mathematical Physics
5 Journal of Function Spaces and Applications
5 Mediterranean Journal of Mathematics
4 Applied Mathematics and Computation
4 Glasgow Mathematical Journal
4 Kodai Mathematical Journal
4 Ergodic Theory and Dynamical Systems
4 Chinese Annals of Mathematics. Series B
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 International Journal of Mathematics
4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
4 SIAM Journal on Mathematical Analysis
4 Bulletin of the American Mathematical Society. New Series
4 Georgian Mathematical Journal
4 Conformal Geometry and Dynamics
4 Complex Variables and Elliptic Equations
3 Archive for Rational Mechanics and Analysis
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 The Annals of Probability
3 Bulletin de la Société Mathématique de France
3 Journal of the London Mathematical Society. Second Series
3 Journal für die Reine und Angewandte Mathematik
3 Monatshefte für Mathematik
...and 164 more Serials
all top 5

Cited in 51 Fields

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

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