## Folland, Gerald B.

Compute Distance To:
 Author ID: 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
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### Co-Authors

 45 single-authored 3 Stein, Elias Menachem 1 Bownik, Marcin 1 Hung, H.-T. 1 Kohn, Joseph J. 1 Sitaram, Alladi 1 Thangavelu, Sundaram
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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 The Journal of Geometric Analysis 2 Annals of Mathematics Studies 2 Mathematical Notes (Princeton) 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 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

 20 Partial differential equations (35-XX) 20 Abstract harmonic analysis (43-XX) 13 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) 3 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

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.
1989
Real analysis. Modern techniques and their applications. 2nd ed. Zbl 0924.28001
Folland, Gerald B.
1999
Hardy spaces on homogeneous groups. Zbl 0508.42025
Folland, G. B.; Stein, Elias M.
1982
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
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
Real analysis. Modern techniques and their applications. Zbl 0549.28001
Folland, Gerald B.
1984
The uncertainty principle: A mathematical survey. Zbl 0885.42006
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
Harmonic analysis of the De Rham complex on the sphere. Zbl 0671.58036
Folland, G. B.
1989
Fourier analysis and its applications. Zbl 0786.42001
Folland, Gerald B.
1992
A course in abstract harmonic analysis. 2nd updated edition. Zbl 1342.43001
Folland, Gerald B.
2016
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
Wyl manifolds. Zbl 0195.23904
Folland, Gerald B.
1970
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
Parametrices and estimates for the $$\bar \partial _b$$ complex on strongly pseudoconvex boundaries. Zbl 0294.35059
Folland, G. B.; Stein, Elias M.
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.
1983
Compact Heisenberg manifolds as CR manifolds. Zbl 1067.32025
Folland, G. B.
2004
Lipschitz classes and Poisson integrals on stratified groups. Zbl 0439.43005
Folland, G. B.
1979
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
Fourier analysis and its applications. Reprint of the 1992 original published by Wadsworth & Brooks/Cole. Zbl 1222.42001
Folland, Gerald B.
2009
Meta-Heisenberg groups. Zbl 0842.22006
Folland, Gerald B.
1994
Remainder estimates in Taylor’s theorem. Zbl 0737.41031
Folland, G. B.
1990
The abstruse meets the applicable: some aspects of time-frequency analysis. Zbl 1128.42014
Folland, G. B.
2006
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
A guide to advanced real analysis. Zbl 1184.28001
Folland, Gerald B.
2009
Non-isotropic Lipschitz spaces. Zbl 0419.22016
Folland, G. B.; Hung, H. T.
1979
Duals of Hardy spaces on homogeneous groups. Zbl 1128.42010
Bownik, Marcin; Folland, Gerald B.
2007
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
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
A guide to advanced real analysis. Zbl 1184.28001
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
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 4,852 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
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### 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
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### 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)

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