Gerald Folland
#44,892
Most Influential Person Now
American mathematician
Gerald Folland's AcademicInfluence.com Rankings
Gerald Follandmathematics Degrees
Mathematics
#1976
World Rank
#3128
Historical Rank
#793
USA Rank
Measure Theory
#475
World Rank
#674
Historical Rank
#198
USA Rank
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Mathematics
Gerald Folland's Degrees
- PhD Mathematics Princeton University
Why Is Gerald Folland Influential?
(Suggest an Edit or Addition)According to Wikipedia, Gerald Budge Folland is an American mathematician and a professor of mathematics at the University of Washington. He is the author of several textbooks on mathematical analysis. His areas of interest include harmonic analysis , differential equations, and mathematical physics. The title of his doctoral dissertation at Princeton University is "The Tangential Cauchy-Riemann Complex on Spheres".
Gerald Folland's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Real Analysis: Modern Techniques and Their Applications (1984) (2631)
- A course in abstract harmonic analysis (1995) (1548)
- Hardy spaces on homogeneous groups (1982) (1443)
- Introduction to Partial Differential Equations (1976) (1338)
- Harmonic analysis in phase space (1989) (1055)
- Estimates for the complex and analysis on the heisenberg group (1974) (999)
- Subelliptic estimates and function spaces on nilpotent Lie groups (1975) (895)
- Harmonic Analysis in Phase Space. (AM-122), Volume 122 (1989) (871)
- The uncertainty principle: A mathematical survey (1997) (839)
- The Neumann problem for the Cauchy-Riemann complex (1973) (746)
- Fourier analysis and its applications (1992) (313)
- A fundamental solution for a subelliptic operator (1973) (311)
- Other References (1965) (304)
- How to Integrate A Polynomial Over A Sphere (2001) (114)
- Quantum Field Theory (2008) (98)
- The tangential Cauchy-Riemann complex on spheres (1972) (66)
- Analysis on Locally Compact Abelian Groups (2015) (60)
- Spherical harmonic expansion of the Poisson-Szegő kernel for the ball (1975) (56)
- Mathematical Expeditions: Chronicles by the Explorers (1998) (47)
- On the rothschild-stein lifting theorem (1977) (42)
- Compact Heisenberg manifolds as CR manifolds (2004) (42)
- Applications of analysis on nilpotent groups to partial differential equations (1977) (41)
- Speakingwith theNatives : Reflections on Mathematical Communication (2010) (38)
- Harmonic analysis of the de Rham complex on the sphere. (1989) (36)
- Lipschitz classes and Poisson integrals on stratified groups (1979) (26)
- Hidden Harmony - Geometric Fantasies: The Rise of Complex Function Theory (2015) (25)
- Review: L. A. Aizenberg and Sh. A. Dautov, Differential forms orthogonal to holomorphic functions or forms, and their properties (1985) (24)
- A Guide to Advanced Real Analysis (2009) (22)
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28 (1982) (20)
- Parametrices and estimates for the $\bar \partial _b$ complex on strongly pseudoconvex boundaries (1974) (18)
- Remainder estimates in Taylor's theorem (1990) (18)
- Lectures on Hermite and Laguerre Expansions, Mathematical Notes, Vol. 24, S. Thangavelu, Princeton University Press, 1993, xv + 195 pp. (1994) (15)
- The abstruse meets the applicable: Some aspects of time-frequency analysis (2006) (13)
- Partial Differential Operators with Constant Coefficients (1983) (8)
- A Tale of Topology (2010) (8)
- Meta-Heisenberg Groups (2020) (6)
- Analysis on Compact Groups (2015) (5)
- Spectral analysis of a singular nonself-adjoint boundary value problem (1980) (4)
- From calculus to wavelets: A new mathematical technique (1997) (4)
- Some topics in the history of harmonic analysis in the twentieth century (2017) (3)
- Lectures on partial equations (1983) (3)
- Handbook of Writing for the Mathematical Sciences.@@@A Primer of Mathematical Writing. (1998) (3)
- Graphica 1. The Imaginary Made Real: The Images of Michael Trott.@@@Graphica 2. The Pattern of Beauty: The Art of Igor Bakshee. (2000) (2)
- Linear Algebra@@@Linear Algebra and its Applications@@@Linear Algebra: A Geometric Approach@@@Introduction to Linear Algebra (2005) (2)
- The Heisenberg Group and Its Relatives in the Work of Elias M. Stein (2019) (2)
- Duals of Hardy spaces on homogeneous groups (2007) (2)
- Spectral analysis of a nonself-adjoint differential operator (1981) (2)
- Hermite distributions associated to the group $O(p,q)$ (1998) (2)
- On characterizations of analyticity (1986) (2)
- Handbook of Writing for the Mathematical Sciences. By Nicholas J. Higham/A Primer of Mathematical Writing. By Steven G. Krantz (1998) (1)
- Ripples in Mathematics (Book) (2003) (1)
- Real Analysis, 2nd Edition, G.B.Folland Chapter 6 L Spaces (2018) (1)
- Review: Katherine Michelle Davis and Yang-Chun Chang, Lectures on Bochner-Riesz means (1989) (1)
- Free quantum fields (2008) (1)
- A Guide to Advanced Real Analysis: Preface (2009) (1)
- Mathematical Models in Biology (2005) (1)
- Reviews (2005) (0)
- Reviews (2004) (0)
- Basic quantum mechanics (2008) (0)
- The Analyst (1992) (0)
- Reviews (2002) (0)
- [untitled] (2000) (0)
- Reviews (2006) (0)
- Reviews (2003) (0)
- A Guide to Advanced Real Analysis: Rudiments of Functional Analysis (2009) (0)
- Gerald B. Folland (2001) (0)
- Reviews (2005) (0)
- Functional Analysis by Peter D. Lax; John Wiley; Functional Analysis: An Introduction by Yuli Eidelman; Vitaly Milman; Antonis Tsolomitis (2005) (0)
- Reviews (2006) (0)
- Steenrod Square Canticle (1978) (0)
- Determinants , Matrix Norms , Inverse Mapping Theorem (2010) (0)
- Reviews (2005) (0)
- Reviews (2006) (0)
- Reviews (2005) (0)
- Reviews (2004) (0)
- Book Review: why beliefs matter: reflections on the nature of Science (2012) (0)
- Reviews (2006) (0)
- Reviews (2004) (0)
- CHAPTER 5. THE OSCILLATOR SEMIGROUP (1989) (0)
- Reviews (2003) (0)
- CHAPTER V. THE BOUNDARY COMPLEX (1973) (0)
- Reviews (2005) (0)
- Gauge field theories (2008) (0)
- CHAPTER I. FORMULATION OF THE PROBLEM (1973) (0)
- Reviews (2004) (0)
- Reviews (2006) (0)
- Basic Theory of Pseudo Differential Operators (1983) (0)
- CHAPTER IV. APPLICATIONS (1973) (0)
- Relativistic quantum mechanics (2008) (0)
- Reviews (2003) (0)
- A Guide to Advanced Real Analysis: Topology (2009) (0)
- Further Topics in Representation Theory (2016) (0)
- Student Awards (2002) (0)
- APPENDIX: THE FUNCTIONAL ANALYSIS OF DIFFERENTIAL OPERATORS (1973) (0)
- A History in Sum: 150 Years of Mathematics at Harvard (1825-1975) by Steve Nadis and Shing-Tung Yau (2015) (0)
- Reviews (2002) (0)
- Some topics in the history of harmonic analysis in the twentieth century (2016) (0)
- Reviews (2002) (0)
- Reviews (2001) (0)
- Reviews (2015) (0)
- APPENDIX B. SOME HILBERT SPACE RESULTS (1989) (0)
- Reviews (2006) (0)
- Reviews (2002) (0)
- Review of pre-quantum physics (2008) (0)
- Reviews (2001) (0)
- Reviews (2006) (0)
- A Guide to Advanced Real Analysis: Measure and Integration: Constructions and Special Examples (2009) (0)
- Book Review: Lectures on Bochner-Riesz means (1989) (0)
- Reviews (2016) (0)
- Reviews (2001) (0)
- Reviews (2001) (0)
- Reviews (2001) (0)
- Reviews (2003) (0)
- Reviews (2001) (0)
- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS (1989) (0)
- Reviews (2002) (0)
- Reviews (2003) (0)
- THE BEST WRITING ONF MATHEMATICS 2010 (2011) (0)
- Reviews (2005) (0)
- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS (1989) (0)
- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS (1989) (0)
- Abstract Algebra/Integers, Polynomials and Rings (2005) (0)
- Reviews (2003) (0)
- Reviews (2004) (0)
- Reviews (2003) (0)
- 50 Visions of Mathematics edited by Sam Parc, Foreword by Dara O’Briain (2016) (0)
- PREFACE (2020) (0)
- Reviews (2005) (0)
- CHAPTER 4. THE METAPLECTIC REPRESENTATION (1989) (0)
- Reviews (2004) (0)
- Birds and Frogs: Selected Papers, 1990–2014 (2016) (0)
- A Guide to Advanced Real Analysis: Prologue: Notation, Terminology, and Set Theory (2009) (0)
- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS (1989) (0)
- Reviews (2004) (0)
- 50 Visions of Mathematics edited by Sam Parc, Foreword by Dara O’Briain (2015) (0)
- Reviews (2003) (0)
- Reviews (2001) (0)
- Student Awards (2003) (0)
- Quantum fields with interactions (2008) (0)
- Reviews (2006) (0)
- Functional Analysis. /Functional Analysis: An Introduction (2005) (0)
- Reviews (2006) (0)
- A Course in Approximation Theory (Book) (2004) (0)
- L2 Sobolev Spaces (1983) (0)
- CHAPTER III. INTERPRETATION OF THE MAIN THEOREM (1973) (0)
- Time-Frequency Analysis and Representations of the Discrete Heisenberg Group (2017) (0)
- Reviews (2003) (0)
- Reviews (2004) (0)
- The universe in zero words and in pursuit of the unknown (2012) (0)
- Reviews (2002) (0)
- Lp and Lipschitz Estimates (1983) (0)
- Reviews (2015) (0)
- Banach Algebras and Spectral Theory (2016) (0)
- A Guide to Advanced Real Analysis: Measure and Integration: General Theory (2009) (0)
- Basic Representation Theory (2015) (0)
- Locally Compact Groups (2016) (0)
- Reviews (2002) (0)
- Reviews (2005) (0)
- Reviews (2007) (0)
- CHAPTER II. THE MAIN THEOREM (1973) (0)
- BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 83 , Number S , September 1977 APPLICATIONS OF ANALYSIS ON NILPOTENT GROUPS TO PARTIAL DIFFERENTIAL EQUATIONS (2007) (0)
- CHAPTER VI. OTHER METHODS AND RESULTS (1973) (0)
- Reviews (2002) (0)
- Reviews (2001) (0)
- Reviews (2004) (0)
- Reviews (2003) (0)
- Reviews (2002) (0)
- A Hilbert Space Miscellany (2016) (0)
- Reviews (2004) (0)
- A Case Study in Noncommutative Topology (2018) (0)
- PROLOGUE. SOME MATTERS OF NOTATION (1989) (0)
- Reviews (2005) (0)
- A Guide to Advanced Real Analysis: Function Spaces (2009) (0)
- Why Beliefs Matter: Reflections on the Nature of Science--A Book Review (2012) (0)
- Reviews (2002) (0)
- Reviews (2006) (0)
- Reviews (2001) (0)
- A Guide to Advanced Real Analysis: Topics in Analysis on Euclidean Space (2009) (0)
- Reviews (2001) (0)
- Student Awards (2013) (0)
- Analysis I: Convergence, Elementary Functions by Roger Godement; Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions by Roger Godement (2007) (0)
- Linear Algebra by John B. Fraleigh; Raymond A. Beauregard; Linear Algebra and its Applications by David Lay; Linear Algebra: A Geometric Approach by Theodore Shifrin; Malcolm R. Adams; Introduction to Linear Algebra by Gilbert Strang (2005) (0)
- Reviews (2005) (0)
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