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Folland, Gerald B.

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Author ID: folland.gerald-b Recent zbMATH articles by "Folland, Gerald B."
Published as: Folland, G. B.; Folland, Gerald B.
External Links: MGP · Wikidata
Documents Indexed: 52 Publications since 1970, including 14 Books

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 5,199 times in 4,355 Documents Cited by Year
Harmonic analysis in phase space. Zbl 0682.43001
Folland, Gerald B.
763
1989
Hardy spaces on homogeneous groups. Zbl 0508.42025
Folland, G. B.; Stein, Elias M.
627
1982
Real analysis. Modern techniques and their applications. 2nd ed. Zbl 0924.28001
Folland, Gerald B.
616
1999
Estimates for the \(\bar \partial_b\) complex and analysis on the Heisenberg group. Zbl 0293.35012
Folland, G. B.; Stein, Elias M.
402
1974
Subelliptic estimates and function spaces on nilpotent Lie groups. Zbl 0312.35026
Folland, G. B.
380
1975
A course in abstract harmonic analysis. Zbl 0857.43001
Folland, Gerald B.
364
1995
Real analysis. Modern techniques and their applications. Zbl 0549.28001
Folland, Gerald B.
288
1984
The Neumann problem for the Cauchy-Riemann complex. Zbl 0247.35093
Folland, G. B.; Kohn, J. J.
286
1972
Introduction to partial differential equations. 2nd ed. Zbl 0841.35001
Folland, Gerald B.
276
1995
The uncertainty principle: A mathematical survey. Zbl 0885.42006
Folland, Gerald B.; Sitaram, Alladi
247
1997
Introduction to partial differential equations. Zbl 0325.35001
Folland, Gerald B.
196
1976
Applications of analysis on nilpotent groups to partial differential equations. Zbl 0371.35008
Folland, G. B.
137
1977
A fundamental solution for a subelliptic operator. Zbl 0256.35020
Folland, G. B.
124
1973
Fourier analysis and its applications. Zbl 0786.42001
Folland, Gerald B.
120
1992
Harmonic analysis of the De Rham complex on the sphere. Zbl 0671.58036
Folland, G. B.
118
1989
A course in abstract harmonic analysis. 2nd updated edition. Zbl 1342.43001
Folland, Gerald B.
35
2016
Wyl manifolds. Zbl 0195.23904
Folland, Gerald B.
28
1970
The tangential Cauchy-Riemann complex on spheres. Zbl 0249.35013
Folland, G. B.
27
1972
How to integrate a polynomial over a sphere. Zbl 1046.26503
Folland, Gerald B.
24
2001
Spherical harmonic expansion of the Poisson-Szegö kernel for the ball. Zbl 0296.35010
Folland, G. B.
20
1975
Quantum field theory: A tourist guide for mathematicians. Zbl 1155.81003
Folland, Gerald B.
16
2008
On the Rothschild-Stein lifting theorem. Zbl 0365.58016
Folland, G. B.
15
1977
Lipschitz classes and Poisson integrals on stratified groups. Zbl 0439.43005
Folland, G. B.
12
1979
Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu. Zbl 0529.35005
Folland, G. B.
11
1983
Parametrices and estimates for the \(\bar \partial _b\) complex on strongly pseudoconvex boundaries. Zbl 0294.35059
Folland, G. B.; Stein, Elias M.
11
1974
Spectral analysis of a nonself-adjoint differential operator. Zbl 0431.34019
Folland, G. B.
9
1981
Compact Heisenberg manifolds as CR manifolds. Zbl 1067.32025
Folland, G. B.
8
2004
Spectral analysis of a singular nonself-adjoint boundary value problem. Zbl 0436.34027
Folland, G. B.
8
1980
Remainder estimates in Taylor’s theorem. Zbl 0737.41031
Folland, G. B.
6
1990
Fourier analysis and its applications. Reprint of the 1992 original published by Wadsworth & Brooks/Cole. Zbl 1222.42001
Folland, Gerald B.
5
2009
The abstruse meets the applicable: some aspects of time-frequency analysis. Zbl 1128.42014
Folland, G. B.
5
2006
Meta-Heisenberg groups. Zbl 0842.22006
Folland, Gerald B.
5
1994
A tale of topology. Zbl 1202.54001
Folland, Gerald B.
3
2010
Some topics in the history of harmonic analysis in the twentieth century. Zbl 1391.42002
Folland, G. B.
2
2017
Fundamental solutions for the wave operator. Zbl 0886.35085
Folland, Gerald B.
2
1997
Book review of: U. Bottazzini and J. Gray, Hidden harmony – geometric fantasies. The rise of complex function theory. Zbl 1329.00059
Folland, Gerald B.
1
2015
Duals of Hardy spaces on homogeneous groups. Zbl 1128.42010
Bownik, Marcin; Folland, Gerald B.
1
2007
Non-isotropic Lipschitz spaces. Zbl 0419.22016
Folland, G. B.; Hung, H. T.
1
1979
Some topics in the history of harmonic analysis in the twentieth century. Zbl 1391.42002
Folland, G. B.
2
2017
A course in abstract harmonic analysis. 2nd updated edition. Zbl 1342.43001
Folland, Gerald B.
35
2016
Book review of: U. Bottazzini and J. Gray, Hidden harmony – geometric fantasies. The rise of complex function theory. Zbl 1329.00059
Folland, Gerald B.
1
2015
A tale of topology. Zbl 1202.54001
Folland, Gerald B.
3
2010
Fourier analysis and its applications. Reprint of the 1992 original published by Wadsworth & Brooks/Cole. Zbl 1222.42001
Folland, Gerald B.
5
2009
Quantum field theory: A tourist guide for mathematicians. Zbl 1155.81003
Folland, Gerald B.
16
2008
Duals of Hardy spaces on homogeneous groups. Zbl 1128.42010
Bownik, Marcin; Folland, Gerald B.
1
2007
The abstruse meets the applicable: some aspects of time-frequency analysis. Zbl 1128.42014
Folland, G. B.
5
2006
Compact Heisenberg manifolds as CR manifolds. Zbl 1067.32025
Folland, G. B.
8
2004
How to integrate a polynomial over a sphere. Zbl 1046.26503
Folland, Gerald B.
24
2001
Real analysis. Modern techniques and their applications. 2nd ed. Zbl 0924.28001
Folland, Gerald B.
616
1999
The uncertainty principle: A mathematical survey. Zbl 0885.42006
Folland, Gerald B.; Sitaram, Alladi
247
1997
Fundamental solutions for the wave operator. Zbl 0886.35085
Folland, Gerald B.
2
1997
A course in abstract harmonic analysis. Zbl 0857.43001
Folland, Gerald B.
364
1995
Introduction to partial differential equations. 2nd ed. Zbl 0841.35001
Folland, Gerald B.
276
1995
Meta-Heisenberg groups. Zbl 0842.22006
Folland, Gerald B.
5
1994
Fourier analysis and its applications. Zbl 0786.42001
Folland, Gerald B.
120
1992
Remainder estimates in Taylor’s theorem. Zbl 0737.41031
Folland, G. B.
6
1990
Harmonic analysis in phase space. Zbl 0682.43001
Folland, Gerald B.
763
1989
Harmonic analysis of the De Rham complex on the sphere. Zbl 0671.58036
Folland, G. B.
118
1989
Real analysis. Modern techniques and their applications. Zbl 0549.28001
Folland, Gerald B.
288
1984
Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu. Zbl 0529.35005
Folland, G. B.
11
1983
Hardy spaces on homogeneous groups. Zbl 0508.42025
Folland, G. B.; Stein, Elias M.
627
1982
Spectral analysis of a nonself-adjoint differential operator. Zbl 0431.34019
Folland, G. B.
9
1981
Spectral analysis of a singular nonself-adjoint boundary value problem. Zbl 0436.34027
Folland, G. B.
8
1980
Lipschitz classes and Poisson integrals on stratified groups. Zbl 0439.43005
Folland, G. B.
12
1979
Non-isotropic Lipschitz spaces. Zbl 0419.22016
Folland, G. B.; Hung, H. T.
1
1979
Applications of analysis on nilpotent groups to partial differential equations. Zbl 0371.35008
Folland, G. B.
137
1977
On the Rothschild-Stein lifting theorem. Zbl 0365.58016
Folland, G. B.
15
1977
Introduction to partial differential equations. Zbl 0325.35001
Folland, Gerald B.
196
1976
Subelliptic estimates and function spaces on nilpotent Lie groups. Zbl 0312.35026
Folland, G. B.
380
1975
Spherical harmonic expansion of the Poisson-Szegö kernel for the ball. Zbl 0296.35010
Folland, G. B.
20
1975
Estimates for the \(\bar \partial_b\) complex and analysis on the Heisenberg group. Zbl 0293.35012
Folland, G. B.; Stein, Elias M.
402
1974
Parametrices and estimates for the \(\bar \partial _b\) complex on strongly pseudoconvex boundaries. Zbl 0294.35059
Folland, G. B.; Stein, Elias M.
11
1974
A fundamental solution for a subelliptic operator. Zbl 0256.35020
Folland, G. B.
124
1973
The Neumann problem for the Cauchy-Riemann complex. Zbl 0247.35093
Folland, G. B.; Kohn, J. J.
286
1972
The tangential Cauchy-Riemann complex on spheres. Zbl 0249.35013
Folland, G. B.
27
1972
Wyl manifolds. Zbl 0195.23904
Folland, Gerald B.
28
1970
all top 5

Cited by 4,587 Authors

38 Ruzhansky, Michael V.
33 Gröchenig, Karlheinz
32 de Gosson, Maurice Alexis
32 Jódar Sanchez, Lucas Antonio
30 Karmanova, Maria B.
29 Chang, Der-Chen E.
29 Suragan, Durvudkhan
28 Yang, Dachun
27 Thangavelu, Sundaram
26 Niu, Pengcheng
26 Ricci, Fulvio
26 Vodop’yanov, Sergeĭ Konstantinovich
24 Garofalo, Nicola
23 Bonfiglioli, Andrea
23 Cordero, Elena
23 Lanconelli, Ermanno
22 Stein, Elias Menachem
21 Lu, Guozhen
21 Nicola, Fabio
21 Toft, Joachim
20 Citti, Giovanna
20 Kamyabi-Gol, Rajab Ali
20 Shaw, Mei-Chi
19 Müller, Detlef
18 Magnani, Valentino
17 Franchi, Bruno
17 Krantz, Steven George
16 Kang, Hyeonbae
16 Wahlberg, Patrik
15 Cahen, Benjamin
14 Bownik, Marcin
14 Farashahi, Arash Ghaani
14 Măntoiu, Marius Laurenţiu
14 Martini, Alessio
14 Musolino, Paolo
14 Straube, Emil J.
13 Ammari, Habib M.
13 Dragomir, Sorin
13 Huang, Jizheng
13 Mejjaoli, Hatem
13 Menegatto, Valdir Antonio
13 Nourrigat, Jean Francois
13 Peloso, Marco Maria
13 Tie, Jingzhi
12 Bramanti, Marco
12 Capogna, Luca
12 Engliš, Miroslav
12 Folland, Gerald B.
12 Markina, Irina
11 Benth, Fred Espen
11 Kumar, Ajay
11 Pfander, Götz E.
11 Rodino, Luigi
11 Tyson, Jeremy T.
11 Uguzzoni, Francesco
11 Wong, Man Wah
11 Yessirkegenov, Nurgissa A.
11 Yuan, Wen
10 Amour, Laurent
10 Boggiatto, Paolo
10 Dalla Riva, Matteo
10 De Vito, Ernesto
10 Ghobber, Saifallah
10 Guliyev, Vagif Sabir
10 Harrington, Phillip S.
10 Jaming, Philippe
10 Kisil, Vladimir V.
10 Lanza de Cristoforis, Massimo
10 Luef, Franz
10 Polidoro, Sergio
10 Sarkar, Rudra P.
10 Stanton, Nancy K.
10 Zampieri, Giuseppe
9 Baldi, Annalisa
9 Barbieri, Davide Francesco
9 Cowling, Michael G.
9 Dias, Nuno Costa
9 Führ, Hartmut
9 Greiner, Peter C.
9 Trần Vũ Khanh
9 Lam, Nguyen
9 Liu, Heping
9 Liu, Yu
9 Oliveira, Claudemir P.
9 Paul, Thierry
9 Prata, João Nuno
9 Raich, Andrew S.
9 Saber, Sayed
9 Raisi Tousi, Reihaneh
9 Wang, Wei
9 Yang, Xiaoping
9 Zelditch, Steve
8 Barletta, Elisabetta
8 Bauer, Wolfram
8 Beals, Richard W.
8 Boas, Harold P.
8 Brandolini, Luca
8 Coburn, Lewis A.
8 D’Ambrosio, Lorenzo
8 Fan, Dashan
...and 4,487 more Authors
all top 5

Cited in 566 Serials

202 Journal of Mathematical Analysis and Applications
202 Journal of Functional Analysis
110 Transactions of the American Mathematical Society
103 Proceedings of the American Mathematical Society
92 The Journal of Fourier Analysis and Applications
91 Mathematische Annalen
85 Advances in Mathematics
82 Journal of Mathematical Physics
76 Journal of Differential Equations
76 The Journal of Geometric Analysis
68 Communications in Partial Differential Equations
63 Applied and Computational Harmonic Analysis
59 Mathematische Zeitschrift
55 Communications in Mathematical Physics
52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
46 Journal of Pseudo-Differential Operators and Applications
42 Journal d’Analyse Mathématique
40 Annales de l’Institut Fourier
38 Mathematische Nachrichten
34 Siberian Mathematical Journal
34 Integral Transforms and Special Functions
33 Duke Mathematical Journal
33 Integral Equations and Operator Theory
33 Inventiones Mathematicae
32 Acta Mathematica Sinica. English Series
31 Revista Matemática Iberoamericana
31 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Potential Analysis
29 Annali di Matematica Pura ed Applicata. Serie Quarta
29 Calculus of Variations and Partial Differential Equations
27 Reviews in Mathematical Physics
27 Monatshefte für Mathematik
27 Bulletin des Sciences Mathématiques
27 Doklady Mathematics
24 International Journal of Wavelets, Multiresolution and Information Processing
23 Journal of Geometry and Physics
23 Journal of Computational and Applied Mathematics
23 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
22 Mathematical Methods in the Applied Sciences
22 Complex Analysis and Operator Theory
21 Manuscripta Mathematica
21 Mathematical and Computer Modelling
21 Communications in Contemporary Mathematics
20 Applicable Analysis
20 Computers & Mathematics with Applications
20 International Journal of Mathematics
20 Mediterranean Journal of Mathematics
18 Journal of Computational Physics
18 Results in Mathematics
18 Tohoku Mathematical Journal. Second Series
18 Journal of Mathematical Sciences (New York)
17 Bulletin of the Australian Mathematical Society
17 Journal of Approximation Theory
17 Stochastic Processes and their Applications
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Archive for Rational Mechanics and Analysis
16 Rocky Mountain Journal of Mathematics
16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
16 Publications of the Research Institute for Mathematical Sciences, Kyoto University
16 Probability Theory and Related Fields
15 Arkiv för Matematik
15 Acta Mathematica
15 Memoirs of the American Mathematical Society
15 Science in China. Series A
15 Differential Geometry and its Applications
14 Communications on Pure and Applied Mathematics
14 Israel Journal of Mathematics
14 Bulletin of the American Mathematical Society. New Series
14 Bernoulli
14 Abstract and Applied Analysis
14 Positivity
14 Journal of Inequalities and Applications
13 Letters in Mathematical Physics
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Linear Algebra and its Applications
13 SIAM Journal on Mathematical Analysis
13 Advances in Computational Mathematics
13 Communications on Pure and Applied Analysis
13 Analysis and Applications (Singapore)
13 Complex Variables and Elliptic Equations
13 Banach Journal of Mathematical Analysis
12 Indian Journal of Pure & Applied Mathematics
12 Applied Mathematics and Computation
12 Numerical Functional Analysis and Optimization
12 Forum Mathematicum
12 Indagationes Mathematicae. New Series
12 Discrete and Continuous Dynamical Systems
11 Journal of Statistical Physics
11 Archiv der Mathematik
11 Applied Mathematics Letters
11 The Annals of Applied Probability
11 Science China. Mathematics
10 Reports on Mathematical Physics
10 Studia Mathematica
10 Ergodic Theory and Dynamical Systems
10 Acta Applicandae Mathematicae
10 Journal of Theoretical Probability
10 Journal of the American Mathematical Society
10 NoDEA. Nonlinear Differential Equations and Applications
10 Journal of the European Mathematical Society (JEMS)
...and 466 more Serials
all top 5

Cited in 63 Fields

1,399 Partial differential equations (35-XX)
811 Harmonic analysis on Euclidean spaces (42-XX)
669 Abstract harmonic analysis (43-XX)
603 Topological groups, Lie groups (22-XX)
585 Functional analysis (46-XX)
546 Operator theory (47-XX)
449 Several complex variables and analytic spaces (32-XX)
394 Quantum theory (81-XX)
364 Differential geometry (53-XX)
301 Probability theory and stochastic processes (60-XX)
279 Global analysis, analysis on manifolds (58-XX)
247 Numerical analysis (65-XX)
156 Real functions (26-XX)
145 Potential theory (31-XX)
138 Functions of a complex variable (30-XX)
128 Information and communication theory, circuits (94-XX)
123 Calculus of variations and optimal control; optimization (49-XX)
117 Integral transforms, operational calculus (44-XX)
113 Statistics (62-XX)
111 Dynamical systems and ergodic theory (37-XX)
104 Fluid mechanics (76-XX)
101 Measure and integration (28-XX)
93 Special functions (33-XX)
79 Statistical mechanics, structure of matter (82-XX)
77 Ordinary differential equations (34-XX)
75 Approximations and expansions (41-XX)
72 Integral equations (45-XX)
65 Number theory (11-XX)
65 Group theory and generalizations (20-XX)
63 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
58 Systems theory; control (93-XX)
55 Operations research, mathematical programming (90-XX)
53 Optics, electromagnetic theory (78-XX)
46 Computer science (68-XX)
45 Mechanics of deformable solids (74-XX)
42 General topology (54-XX)
41 Biology and other natural sciences (92-XX)
40 Relativity and gravitational theory (83-XX)
38 Mechanics of particles and systems (70-XX)
36 Linear and multilinear algebra; matrix theory (15-XX)
36 Nonassociative rings and algebras (17-XX)
36 Convex and discrete geometry (52-XX)
34 Manifolds and cell complexes (57-XX)
33 Combinatorics (05-XX)
32 Algebraic geometry (14-XX)
19 Mathematical logic and foundations (03-XX)
18 Difference and functional equations (39-XX)
15 Associative rings and algebras (16-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 Geometry (51-XX)
12 Geophysics (86-XX)
9 General and overarching topics; collections (00-XX)
9 History and biography (01-XX)
9 Algebraic topology (55-XX)
8 Category theory; homological algebra (18-XX)
8 Sequences, series, summability (40-XX)
6 \(K\)-theory (19-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Astronomy and astrophysics (85-XX)
4 Commutative algebra (13-XX)
2 Field theory and polynomials (12-XX)
1 General algebraic systems (08-XX)
1 Mathematics education (97-XX)

Citations by Year

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