Gerald Folland

Gerald Budge Folland is an American mathematician and a professor of mathematics at the University of Washington. His areas of interest are 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".

Gerald B. Folland
Gerald Folland
BornJune 4, 1947
Salt Lake City, Utah, US
NationalityAmerican
Alma materPrinceton University
Scientific career
FieldsMathematics
InstitutionsUniversity of Washington
Doctoral advisorJoseph Kohn

He is the author of several textbooks in mathematical analysis.

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, ISBN 978-0-471-31716-6.
  • "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)
gollark: I tried playing a 10Hz sine wave just now and I can't hear it.
gollark: The position of the pen clearly can't be being directly mapped to voltage on a speaker or something, because the frequency would be waaaaay too low to hear.
gollark: What property of the waveforms it's generating varies as you change X/Y?
gollark: I'm aware it's converting it into waveforms somehow. That's just very vague.
gollark: What do you mean "right channel"? Frequency on the right channel or what?

References
  1. List of Fellows of the American Mathematical Society, retrieved 2012-12-29.
  2. 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. Berg, Michael (9 October 2008). "Review of Quantum Field Theory: A Tourist Guide for Mathematicians by Gerald B. Folland". MAA Reviews, Mathematical Association of America.
  4. Guillemin, V. (1990). "Review: Harmonic analysis in phase space, by Gerald Folland". Bull. Amer. Math. Soc. (N.S.). 22 (2): 335–338. doi:10.1090/s0273-0979-1990-15902-6.
  5. Goodman, Roe (1983). "Review: Spaces on homogeneous groups, by G. B. Folland and E. M. Stein". Bull. Amer. Math. Soc. (N.S.). 8 (3): 505–507. doi:10.1090/s0273-0979-1983-15141-8.

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