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Author ID: folland.gerald-b Recent zbMATH articles by "Folland, Gerald B."
Published as: Folland, Gerald B.; Folland, G. B.
External Links: MGP · Wikidata · IdRef
Documents Indexed: 53 Publications since 1970, including 14 Books
Co-Authors: 5 Co-Authors with 7 Joint Publications
154 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 5,468 times in 4,797 Documents Cited by Year
Harmonic analysis in phase space. Zbl 0682.43001
Folland, Gerald B.
749
1989
Real analysis. Modern techniques and their applications. 2nd ed. Zbl 0924.28001
Folland, Gerald B.
701
1999
Hardy spaces on homogeneous groups. Zbl 0508.42025
Folland, G. B.; Stein, Elias M.
688
1982
Estimates for the \(\bar \partial_b\) complex and analysis on the Heisenberg group. Zbl 0293.35012
Folland, G. B.; Stein, Elias M.
432
1974
Subelliptic estimates and function spaces on nilpotent Lie groups. Zbl 0312.35026
Folland, G. B.
420
1975
A course in abstract harmonic analysis. Zbl 0857.43001
Folland, Gerald B.
414
1995
The Neumann problem for the Cauchy-Riemann complex. Zbl 0247.35093
Folland, G. B.; Kohn, J. J.
294
1972
Introduction to partial differential equations. 2nd ed. Zbl 0841.35001
Folland, Gerald B.
288
1995
Real analysis. Modern techniques and their applications. Zbl 0549.28001
Folland, Gerald B.
280
1984
The uncertainty principle: A mathematical survey. Zbl 0885.42006
Folland, Gerald B.; Sitaram, Alladi
273
1997
Introduction to partial differential equations. Zbl 0325.35001
Folland, Gerald B.
152
1976
Applications of analysis on nilpotent groups to partial differential equations. Zbl 0371.35008
Folland, G. B.
138
1977
A fundamental solution for a subelliptic operator. Zbl 0256.35020
Folland, G. B.
136
1973
Harmonic analysis of the De Rham complex on the sphere. Zbl 0671.58036
Folland, G. B.
123
1989
Fourier analysis and its applications. Zbl 0786.42001
Folland, Gerald B.
85
1992
A course in abstract harmonic analysis. 2nd updated edition. Zbl 1342.43001
Folland, Gerald B.
52
2016
The tangential Cauchy-Riemann complex on spheres. Zbl 0249.35013
Folland, G. B.
30
1972
How to integrate a polynomial over a sphere. Zbl 1046.26503
Folland, Gerald B.
29
2001
Wyl manifolds. Zbl 0195.23904
Folland, Gerald B.
29
1970
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.
17
2008
On the Rothschild-Stein lifting theorem. Zbl 0365.58016
Folland, G. B.
16
1977
Parametrices and estimates for the \(\bar \partial _b\) complex on strongly pseudoconvex boundaries. Zbl 0294.35059
Folland, G. B.; Stein, Elias M.
13
1974
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.
12
1983
Compact Heisenberg manifolds as CR manifolds. Zbl 1067.32025
Folland, G. B.
12
2004
Lipschitz classes and Poisson integrals on stratified groups. Zbl 0439.43005
Folland, G. B.
12
1979
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
Fourier analysis and its applications. Reprint of the 1992 original published by Wadsworth & Brooks/Cole. Zbl 1222.42001
Folland, Gerald B.
7
2009
Meta-Heisenberg groups. Zbl 0842.22006
Folland, Gerald B.
6
1994
Remainder estimates in Taylor’s theorem. Zbl 0737.41031
Folland, G. B.
6
1990
The abstruse meets the applicable: some aspects of time-frequency analysis. Zbl 1128.42014
Folland, G. B.
5
2006
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.
3
2017
A guide to advanced real analysis. Zbl 1184.28001
Folland, Gerald B.
2
2009
Non-isotropic Lipschitz spaces. Zbl 0419.22016
Folland, G. B.; Hung, H. T.
1
1979
Duals of Hardy spaces on homogeneous groups. Zbl 1128.42010
Bownik, Marcin; Folland, Gerald B.
1
2007
Fundamental solutions for the wave operator. Zbl 0886.35085
Folland, Gerald B.
1
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
Some topics in the history of harmonic analysis in the twentieth century. Zbl 1391.42002
Folland, G. B.
3
2017
A course in abstract harmonic analysis. 2nd updated edition. Zbl 1342.43001
Folland, Gerald B.
52
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.
7
2009
A guide to advanced real analysis. Zbl 1184.28001
Folland, Gerald B.
2
2009
Quantum field theory: A tourist guide for mathematicians. Zbl 1155.81003
Folland, Gerald B.
17
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.
12
2004
How to integrate a polynomial over a sphere. Zbl 1046.26503
Folland, Gerald B.
29
2001
Real analysis. Modern techniques and their applications. 2nd ed. Zbl 0924.28001
Folland, Gerald B.
701
1999
The uncertainty principle: A mathematical survey. Zbl 0885.42006
Folland, Gerald B.; Sitaram, Alladi
273
1997
Fundamental solutions for the wave operator. Zbl 0886.35085
Folland, Gerald B.
1
1997
A course in abstract harmonic analysis. Zbl 0857.43001
Folland, Gerald B.
414
1995
Introduction to partial differential equations. 2nd ed. Zbl 0841.35001
Folland, Gerald B.
288
1995
Meta-Heisenberg groups. Zbl 0842.22006
Folland, Gerald B.
6
1994
Fourier analysis and its applications. Zbl 0786.42001
Folland, Gerald B.
85
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.
749
1989
Harmonic analysis of the De Rham complex on the sphere. Zbl 0671.58036
Folland, G. B.
123
1989
Real analysis. Modern techniques and their applications. Zbl 0549.28001
Folland, Gerald B.
280
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.
12
1983
Hardy spaces on homogeneous groups. Zbl 0508.42025
Folland, G. B.; Stein, Elias M.
688
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.
138
1977
On the Rothschild-Stein lifting theorem. Zbl 0365.58016
Folland, G. B.
16
1977
Introduction to partial differential equations. Zbl 0325.35001
Folland, Gerald B.
152
1976
Subelliptic estimates and function spaces on nilpotent Lie groups. Zbl 0312.35026
Folland, G. B.
420
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.
432
1974
Parametrices and estimates for the \(\bar \partial _b\) complex on strongly pseudoconvex boundaries. Zbl 0294.35059
Folland, G. B.; Stein, Elias M.
13
1974
A fundamental solution for a subelliptic operator. Zbl 0256.35020
Folland, G. B.
136
1973
The Neumann problem for the Cauchy-Riemann complex. Zbl 0247.35093
Folland, G. B.; Kohn, J. J.
294
1972
The tangential Cauchy-Riemann complex on spheres. Zbl 0249.35013
Folland, G. B.
30
1972
Wyl manifolds. Zbl 0195.23904
Folland, Gerald B.
29
1970
all top 5

Cited by 4,852 Authors

49 Ruzhansky, Michael V.
35 de Gosson, Maurice Alexis
35 Gröchenig, Karlheinz
35 Karmanova, Maria B.
34 Suragan, Durvudkhan
31 Jódar Sanchez, Lucas Antonio
30 Niu, Pengcheng
30 Thangavelu, Sundaram
30 Yang, Dachun
29 Chang, Der-Chen E.
27 Vodop’yanov, Sergeĭ Konstantinovich
26 Ricci, Fulvio
25 Cordero, Elena
25 Garofalo, Nicola
24 Kamyabi-Gol, Rajab Ali
24 Nicola, Fabio
23 Bonfiglioli, Andrea
23 Lanconelli, Ermanno
22 Stein, Elias Menachem
21 Citti, Giovanna
21 Mejjaoli, Hatem
21 Toft, Joachim
20 Shaw, Mei-Chi
19 Lu, Guozhen
19 Magnani, Valentino
19 Müller, Detlef
19 Peloso, Marco Maria
18 Franchi, Bruno
18 Krantz, Steven George
17 Cahen, Benjamin
17 Kang, Hyeonbae
16 Farashahi, Arash Ghaani
16 Wahlberg, Patrik
15 Musolino, Paolo
15 Yessirkegenov, Nurgissa A.
14 Ammari, Habib M.
14 Bownik, Marcin
14 Bramanti, Marco
14 Luef, Franz
14 Măntoiu, Marius Laurențiu
14 Martini, Alessio
14 Straube, Emil J.
13 Dragomir, Sorin
13 Folland, Gerald B.
13 Huang, Jizheng
13 Jaming, Philippe
13 Nourrigat, Jean Francois
13 Rodino, Luigi
13 Tie, Jingzhi
12 Benth, Fred Espen
12 Capogna, Luca
12 De Vito, Ernesto
12 Engliš, Miroslav
12 Ghobber, Saifallah
12 Harrington, Phillip S.
12 Kumar, Ajay
12 Markina, Irina
12 Menegatto, Valdir Antonio
12 Polidoro, Sergio
12 Raich, Andrew S.
12 Shah, Firdous Ahmad
12 Voigtlaender, Felix
12 Yuan, Wen
11 Boggiatto, Paolo
11 Fischer, Véronique
11 Führ, Hartmut
11 Kisil, Vladimir V.
11 Lanza de Cristoforis, Massimo
11 Omri, Slim
11 Paul, Thierry
11 Pfander, Götz E.
11 Saber, Sayed
11 Tyson, Jeremy T.
11 Vallarino, Maria
11 Wong, Man Wah
10 Amour, Laurent
10 Baldi, Annalisa
10 Dalla Riva, Matteo
10 Dias, Nuno Costa
10 Esmaeelzadeh, Fatemeh
10 Guliyev, Vagif Sabir
10 Prata, João Nuno
10 Sarkar, Rudra P.
10 Stanton, Nancy K.
10 Raisi Tousi, Reihaneh
10 Uguzzoni, Francesco
10 Zampieri, Giuseppe
10 Zelditch, Steve
9 Barbieri, Davide Francesco
9 Cowling, Michael G.
9 De Mari, Filippo
9 Greiner, Peter C.
9 Han, Yazhou
9 Kassymov, Aidyn Adilovich
9 Trần Vũ Khanh
9 Liu, Heping
9 Liu, Yu
9 Oliaro, Alessandro
9 Pascucci, Andrea
9 Pucci, Patrizia
...and 4,752 more Authors
all top 5

Cited in 611 Serials

210 Journal of Functional Analysis
203 Journal of Mathematical Analysis and Applications
118 Transactions of the American Mathematical Society
107 Proceedings of the American Mathematical Society
98 The Journal of Fourier Analysis and Applications
95 The Journal of Geometric Analysis
92 Mathematische Annalen
84 Advances in Mathematics
82 Journal of Mathematical Physics
79 Journal of Differential Equations
70 Applied and Computational Harmonic Analysis
69 Communications in Partial Differential Equations
64 Journal of Pseudo-Differential Operators and Applications
63 Mathematische Zeitschrift
61 Communications in Mathematical Physics
52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
43 Journal d’Analyse Mathématique
41 Integral Transforms and Special Functions
40 Annales de l’Institut Fourier
38 Mathematische Nachrichten
36 Siberian Mathematical Journal
35 Integral Equations and Operator Theory
35 Journal de Mathématiques Pures et Appliquées. Neuvième Série
33 Duke Mathematical Journal
33 Inventiones Mathematicae
32 Revista Matemática Iberoamericana
32 Calculus of Variations and Partial Differential Equations
32 Acta Mathematica Sinica. English Series
30 Potential Analysis
29 Annali di Matematica Pura ed Applicata. Serie Quarta
29 Doklady Mathematics
28 Reviews in Mathematical Physics
28 Monatshefte für Mathematik
28 Bulletin des Sciences Mathématiques
28 International Journal of Wavelets, Multiresolution and Information Processing
28 Complex Analysis and Operator Theory
25 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
25 Communications in Contemporary Mathematics
24 Journal of Geometry and Physics
24 Journal of Computational and Applied Mathematics
22 Mathematical Methods in the Applied Sciences
22 Results in Mathematics
21 Manuscripta Mathematica
21 Mathematical and Computer Modelling
21 International Journal of Mathematics
20 Applicable Analysis
20 Computers & Mathematics with Applications
20 Mediterranean Journal of Mathematics
19 Stochastic Processes and their Applications
19 Journal of Mathematical Sciences (New York)
18 Journal of Computational Physics
18 Tohoku Mathematical Journal. Second Series
18 Communications on Pure and Applied Analysis
17 Archive for Rational Mechanics and Analysis
17 Bulletin of the Australian Mathematical Society
17 Israel Journal of Mathematics
17 Letters in Mathematical Physics
17 Rocky Mountain Journal of Mathematics
17 Journal of Approximation Theory
17 SIAM Journal on Mathematical Analysis
17 Complex Variables and Elliptic Equations
16 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
16 Memoirs of the American Mathematical Society
16 Publications of the Research Institute for Mathematical Sciences, Kyoto University
16 Probability Theory and Related Fields
16 Positivity
16 Journal of Inequalities and Applications
16 Analysis and Applications (Singapore)
15 Arkiv för Matematik
15 Acta Mathematica
15 Science in China. Series A
15 Differential Geometry and its Applications
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Communications on Pure and Applied Mathematics
14 Archiv der Mathematik
14 Ergodic Theory and Dynamical Systems
14 Acta Applicandae Mathematicae
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Bulletin of the American Mathematical Society. New Series
14 Advances in Computational Mathematics
14 Bernoulli
14 Banach Journal of Mathematical Analysis
13 Indian Journal of Pure & Applied Mathematics
13 Applied Mathematics and Computation
13 Linear Algebra and its Applications
13 Discrete and Continuous Dynamical Systems
13 Abstract and Applied Analysis
13 Science China. Mathematics
12 Journal of Statistical Physics
12 Reports on Mathematical Physics
12 Studia Mathematica
12 Automatica
12 Numerical Functional Analysis and Optimization
12 Journal of Theoretical Probability
12 Forum Mathematicum
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Applied Mathematics Letters
11 The Annals of Applied Probability
11 Indagationes Mathematicae. New Series
11 NoDEA. Nonlinear Differential Equations and Applications
...and 511 more Serials
all top 5

Cited in 63 Fields

1,520 Partial differential equations (35-XX)
920 Harmonic analysis on Euclidean spaces (42-XX)
743 Abstract harmonic analysis (43-XX)
674 Functional analysis (46-XX)
643 Topological groups, Lie groups (22-XX)
610 Operator theory (47-XX)
485 Several complex variables and analytic spaces (32-XX)
431 Quantum theory (81-XX)
393 Differential geometry (53-XX)
329 Probability theory and stochastic processes (60-XX)
295 Global analysis, analysis on manifolds (58-XX)
267 Numerical analysis (65-XX)
180 Real functions (26-XX)
159 Functions of a complex variable (30-XX)
158 Potential theory (31-XX)
147 Information and communication theory, circuits (94-XX)
146 Integral transforms, operational calculus (44-XX)
139 Calculus of variations and optimal control; optimization (49-XX)
135 Dynamical systems and ergodic theory (37-XX)
128 Statistics (62-XX)
119 Measure and integration (28-XX)
107 Fluid mechanics (76-XX)
103 Special functions (33-XX)
91 Statistical mechanics, structure of matter (82-XX)
83 Ordinary differential equations (34-XX)
79 Number theory (11-XX)
78 Approximations and expansions (41-XX)
74 Group theory and generalizations (20-XX)
74 Integral equations (45-XX)
70 Systems theory; control (93-XX)
66 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
62 Operations research, mathematical programming (90-XX)
58 Computer science (68-XX)
58 Optics, electromagnetic theory (78-XX)
47 General topology (54-XX)
46 Linear and multilinear algebra; matrix theory (15-XX)
46 Biology and other natural sciences (92-XX)
44 Relativity and gravitational theory (83-XX)
43 Mechanics of deformable solids (74-XX)
40 Combinatorics (05-XX)
40 Convex and discrete geometry (52-XX)
40 Manifolds and cell complexes (57-XX)
40 Mechanics of particles and systems (70-XX)
39 Nonassociative rings and algebras (17-XX)
34 Algebraic geometry (14-XX)
21 Associative rings and algebras (16-XX)
21 Difference and functional equations (39-XX)
20 Mathematical logic and foundations (03-XX)
16 Geometry (51-XX)
15 Geophysics (86-XX)
14 Classical thermodynamics, heat transfer (80-XX)
9 History and biography (01-XX)
9 Algebraic topology (55-XX)
8 General and overarching topics; collections (00-XX)
8 Category theory; homological algebra (18-XX)
8 Sequences, series, summability (40-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 \(K\)-theory (19-XX)
5 Astronomy and astrophysics (85-XX)
4 Commutative algebra (13-XX)
3 Field theory and polynomials (12-XX)
1 General algebraic systems (08-XX)
1 Mathematics education (97-XX)

Citations by Year

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