Gerald Budge Folland is an American

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

and a professor of mathematics at the

University of Washington The University of Washington (UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington. Founded in 1861, Washington is one of the oldest universities on the West Coast; it was established in Seattl ...

. He is the author of several textbooks on

mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (m ...

. His areas of interest include harmonic analysis (on both

Euclidean space Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, that is, in Euclid's ''Elements'', it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean ...

and

Lie groups In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additi ...

), differential equations, and

mathematical physics Mathematical physics refers to the development of mathematical methods for application to problems in physics. The '' Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the developme ...

. The title of his doctoral dissertation at

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...

(1971) is "The Tangential Cauchy-Riemann Complex on Spheres". In 2012 he became a fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

Publications and books

''A Guide to Advanced Real Analysis''
Washington, D.C. : Mathematical Association of America, 2009.

Providence, R.I. : American Mathematical Society, 2008. * ''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. * ''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 Elias Menachem Stein (January 13, 1931 – December 23, 2018) was an American mathematician who was a leading figure in the field of harmonic analysis. He was the Albert Baldwin Dod Professor of Mathematics, Emeritus, at Princeton University, w ...

), Princeton University Press, 1982. * "Estimates for the ∂b complex and analysis on the Heisenberg group", ''Comm. Pure Appl. Math.'' 27 (1974), 429–522 (with E. M. Stein)

References

External links

Jerry Folland's Personal Homepage

Jerry Folland's Official Homepage
* 20th-century American mathematicians 21st-century American mathematicians Fellows of the American Mathematical Society Living people 1947 births Princeton University alumni University of Washington faculty {{US-mathematician-stub