Gerald Folland Explained

Gerald B. Folland
Birth Place:	Salt Lake City, Utah, US
Field:	Mathematics
Work Institution:	University of Washington
Alma Mater:	Princeton University
Doctoral Advisor:	Joseph Kohn

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 (on both Euclidean space and Lie groups), differential equations, and mathematical physics. The title of his doctoral dissertation at Princeton University (1971) is "The Tangential Cauchy-Riemann Complex on Spheres".

In 2012 he became a fellow of the American Mathematical Society.^[1]

Publications and books

• A Guide to Advanced Real Analysis, Washington, D.C. : Mathematical Association of America, 2009.^[2]
• Quantum Field Theory : A Tourist Guide for Mathematicians, Providence, R.I. : American Mathematical Society, 2008.^[3]
• Advanced Calculus, Prentice-Hall, 2002.
• Real Analysis: Modern Techniques and their Applications (2nd ed.), John Wiley, 1999, .
• "The uncertainty principle: a mathematical survey", J. Fourier Anal. Appl. 4 (1997), 207–238 (with A. Sitaram).
• Introduction to Partial Differential Equations (2nd ed.), Princeton University Press, 1995.
• A Course in Abstract Harmonic Analysis, CRC Press, 1995.
• Fourier Analysis and Its Applications, Pacific Grove, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, 1992.
• Harmonic Analysis in Phase Space, Princeton University Press, 1989.^[4]
• Lectures on Partial Differential Equations : lectures delivered at the Indian Institute of Science, Bangalore, Springer, 1983.
• Hardy Spaces on Homogeneous Groups (with Elias M. Stein), Princeton University Press, 1982.^[5]
• "Estimates for the ∂b complex and analysis on the Heisenberg group", Comm. Pure Appl. Math. 27 (1974), 429–522 (with E. M. Stein)

References

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External links

• Jerry Folland's Personal Homepage
• Jerry Folland's Official Homepage

Notes and References

1. https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society
2. Web site: Satzer, William J.. 1 October 2009. Review of A Guide to Advanced Real Analysis by Gerald B. Folland. MAA Reviews, Mathematical Association of America.
3. Web site: Review of Quantum Field Theory: A Tourist Guide for Mathematicians by Gerald B. Folland. Berg, Michael. 9 October 2008. MAA Reviews, Mathematical Association of America.
4. Guillemin, V.. Victor Guillemin. Review: Harmonic analysis in phase space, by Gerald Folland. Bull. Amer. Math. Soc. (N.S.). 1990. 22. 2. 335–338. 10.1090/s0273-0979-1990-15902-6. free.
5. Goodman, Roe. Review: Spaces on homogeneous groups, by G. B. Folland and E. M. Stein. Bull. Amer. Math. Soc. (N.S.). 1983. 8. 3. 505–507. 10.1090/s0273-0979-1983-15141-8. free.