# zbMATH — the first resource for mathematics

## Folland, Gerald B.

Compute Distance To:
 Author ID: folland.gerald-b Published as: Folland, G. B.; Folland, Gerald B. External Links: MGP · Wikidata
 Documents Indexed: 52 Publications since 1970, including 14 Books

#### Co-Authors

 45 single-authored 3 Stein, Elias Menachem 1 Bownik, Marcin 1 Hung, H.-T. 1 Kohn, Joseph J. 1 Sitaram, Alladi
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#### Serials

 7 American Mathematical Monthly 3 Notices of the American Mathematical Society 3 Bulletin of the American Mathematical Society 2 Journal of Differential Equations 2 Proceedings of the American Mathematical Society 2 Annals of Mathematics Studies 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Studia Mathematica 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 SIAM Review 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 The Journal of Fourier Analysis and Applications 1 The Dolciani Mathematical Expositions 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Mathematical Surveys and Monographs 1 Pure and Applied Undergraduate Texts 1 Textbooks in Mathematics 1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
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#### Fields

 19 Partial differential equations (35-XX) 19 Abstract harmonic analysis (43-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 General and overarching topics; collections (00-XX) 8 Topological groups, Lie groups (22-XX) 7 History and biography (01-XX) 7 Functional analysis (46-XX) 6 Special functions (33-XX) 5 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 4 Quantum theory (81-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### 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.
1989
Hardy spaces on homogeneous groups. Zbl 0508.42025
Folland, G. B.; Stein, Elias M.
1982
Real analysis. Modern techniques and their applications. 2nd ed. Zbl 0924.28001
Folland, Gerald B.
1999
Estimates for the $$\bar \partial_b$$ complex and analysis on the Heisenberg group. Zbl 0293.35012
Folland, G. B.; Stein, Elias M.
1974
Subelliptic estimates and function spaces on nilpotent Lie groups. Zbl 0312.35026
Folland, G. B.
1975
A course in abstract harmonic analysis. Zbl 0857.43001
Folland, Gerald B.
1995
Real analysis. Modern techniques and their applications. Zbl 0549.28001
Folland, Gerald B.
1984
The Neumann problem for the Cauchy-Riemann complex. Zbl 0247.35093
Folland, G. B.; Kohn, J. J.
1972
Introduction to partial differential equations. 2nd ed. Zbl 0841.35001
Folland, Gerald B.
1995
The uncertainty principle: A mathematical survey. Zbl 0885.42006
Folland, Gerald B.; Sitaram, Alladi
1997
Introduction to partial differential equations. Zbl 0325.35001
Folland, Gerald B.
1976
Applications of analysis on nilpotent groups to partial differential equations. Zbl 0371.35008
Folland, G. B.
1977
A fundamental solution for a subelliptic operator. Zbl 0256.35020
Folland, G. B.
1973
Fourier analysis and its applications. Zbl 0786.42001
Folland, Gerald B.
1992
Harmonic analysis of the De Rham complex on the sphere. Zbl 0671.58036
Folland, G. B.
1989
A course in abstract harmonic analysis. 2nd updated edition. Zbl 1342.43001
Folland, Gerald B.
2016
Wyl manifolds. Zbl 0195.23904
Folland, Gerald B.
1970
The tangential Cauchy-Riemann complex on spheres. Zbl 0249.35013
Folland, G. B.
1972
How to integrate a polynomial over a sphere. Zbl 1046.26503
Folland, Gerald B.
2001
Spherical harmonic expansion of the Poisson-Szegö kernel for the ball. Zbl 0296.35010
Folland, G. B.
1975
Quantum field theory: A tourist guide for mathematicians. Zbl 1155.81003
Folland, Gerald B.
2008
On the Rothschild-Stein lifting theorem. Zbl 0365.58016
Folland, G. B.
1977
Lipschitz classes and Poisson integrals on stratified groups. Zbl 0439.43005
Folland, G. B.
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.
1983
Parametrices and estimates for the $$\bar \partial _b$$ complex on strongly pseudoconvex boundaries. Zbl 0294.35059
Folland, G. B.; Stein, Elias M.
1974
Spectral analysis of a nonself-adjoint differential operator. Zbl 0431.34019
Folland, G. B.
1981
Compact Heisenberg manifolds as CR manifolds. Zbl 1067.32025
Folland, G. B.
2004
Spectral analysis of a singular nonself-adjoint boundary value problem. Zbl 0436.34027
Folland, G. B.
1980
Remainder estimates in Taylor’s theorem. Zbl 0737.41031
Folland, G. B.
1990
Fourier analysis and its applications. Reprint of the 1992 original published by Wadsworth & Brooks/Cole. Zbl 1222.42001
Folland, Gerald B.
2009
The abstruse meets the applicable: some aspects of time-frequency analysis. Zbl 1128.42014
Folland, G. B.
2006
Meta-Heisenberg groups. Zbl 0842.22006
Folland, Gerald B.
1994
A tale of topology. Zbl 1202.54001
Folland, Gerald B.
2010
Some topics in the history of harmonic analysis in the twentieth century. Zbl 1391.42002
Folland, G. B.
2017
Fundamental solutions for the wave operator. Zbl 0886.35085
Folland, Gerald B.
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.
2015
Duals of Hardy spaces on homogeneous groups. Zbl 1128.42010
Bownik, Marcin; Folland, Gerald B.
2007
Non-isotropic Lipschitz spaces. Zbl 0419.22016
Folland, G. B.; Hung, H. T.
1979
Some topics in the history of harmonic analysis in the twentieth century. Zbl 1391.42002
Folland, G. B.
2017
A course in abstract harmonic analysis. 2nd updated edition. Zbl 1342.43001
Folland, Gerald B.
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.
2015
A tale of topology. Zbl 1202.54001
Folland, Gerald B.
2010
Fourier analysis and its applications. Reprint of the 1992 original published by Wadsworth & Brooks/Cole. Zbl 1222.42001
Folland, Gerald B.
2009
Quantum field theory: A tourist guide for mathematicians. Zbl 1155.81003
Folland, Gerald B.
2008
Duals of Hardy spaces on homogeneous groups. Zbl 1128.42010
Bownik, Marcin; Folland, Gerald B.
2007
The abstruse meets the applicable: some aspects of time-frequency analysis. Zbl 1128.42014
Folland, G. B.
2006
Compact Heisenberg manifolds as CR manifolds. Zbl 1067.32025
Folland, G. B.
2004
How to integrate a polynomial over a sphere. Zbl 1046.26503
Folland, Gerald B.
2001
Real analysis. Modern techniques and their applications. 2nd ed. Zbl 0924.28001
Folland, Gerald B.
1999
The uncertainty principle: A mathematical survey. Zbl 0885.42006
Folland, Gerald B.; Sitaram, Alladi
1997
Fundamental solutions for the wave operator. Zbl 0886.35085
Folland, Gerald B.
1997
A course in abstract harmonic analysis. Zbl 0857.43001
Folland, Gerald B.
1995
Introduction to partial differential equations. 2nd ed. Zbl 0841.35001
Folland, Gerald B.
1995
Meta-Heisenberg groups. Zbl 0842.22006
Folland, Gerald B.
1994
Fourier analysis and its applications. Zbl 0786.42001
Folland, Gerald B.
1992
Remainder estimates in Taylor’s theorem. Zbl 0737.41031
Folland, G. B.
1990
Harmonic analysis in phase space. Zbl 0682.43001
Folland, Gerald B.
1989
Harmonic analysis of the De Rham complex on the sphere. Zbl 0671.58036
Folland, G. B.
1989
Real analysis. Modern techniques and their applications. Zbl 0549.28001
Folland, Gerald B.
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.
1983
Hardy spaces on homogeneous groups. Zbl 0508.42025
Folland, G. B.; Stein, Elias M.
1982
Spectral analysis of a nonself-adjoint differential operator. Zbl 0431.34019
Folland, G. B.
1981
Spectral analysis of a singular nonself-adjoint boundary value problem. Zbl 0436.34027
Folland, G. B.
1980
Lipschitz classes and Poisson integrals on stratified groups. Zbl 0439.43005
Folland, G. B.
1979
Non-isotropic Lipschitz spaces. Zbl 0419.22016
Folland, G. B.; Hung, H. T.
1979
Applications of analysis on nilpotent groups to partial differential equations. Zbl 0371.35008
Folland, G. B.
1977
On the Rothschild-Stein lifting theorem. Zbl 0365.58016
Folland, G. B.
1977
Introduction to partial differential equations. Zbl 0325.35001
Folland, Gerald B.
1976
Subelliptic estimates and function spaces on nilpotent Lie groups. Zbl 0312.35026
Folland, G. B.
1975
Spherical harmonic expansion of the Poisson-Szegö kernel for the ball. Zbl 0296.35010
Folland, G. B.
1975
Estimates for the $$\bar \partial_b$$ complex and analysis on the Heisenberg group. Zbl 0293.35012
Folland, G. B.; Stein, Elias M.
1974
Parametrices and estimates for the $$\bar \partial _b$$ complex on strongly pseudoconvex boundaries. Zbl 0294.35059
Folland, G. B.; Stein, Elias M.
1974
A fundamental solution for a subelliptic operator. Zbl 0256.35020
Folland, G. B.
1973
The Neumann problem for the Cauchy-Riemann complex. Zbl 0247.35093
Folland, G. B.; Kohn, J. J.
1972
The tangential Cauchy-Riemann complex on spheres. Zbl 0249.35013
Folland, G. B.
1972
Wyl manifolds. Zbl 0195.23904
Folland, Gerald B.
1970
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#### 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
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#### 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
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#### 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)

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