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, mathematical structure, structure, space, Mathematica ...

and a professor of mathematics at the

University of Washington The University of Washington (UW and informally U-Dub or U Dub) is a public research university in Seattle, Washington, United States. Founded in 1861, the University of Washington is one of the oldest universities on the West Coast of the Uni ...

. 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 ( ...

. His areas of interest include

harmonic analysis Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded do ...

(on both

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

and

Lie groups In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles Euclidean space, whereas ...

), differential equations, and

mathematical physics Mathematical physics is the development of mathematics, 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 de ...

. 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 The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ...

, 2009.
''Quantum Field Theory : A Tourist Guide for Mathematicians''
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 The CRC Press, LLC is an American publishing group that specializes in producing technical books. Many of their books relate to engineering, science and mathematics. Their scope also includes books on business, forensics and information technol ...

, 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), Princeton University Press, 1982. * "Estimates for the ∂b complex and analysis on the

Heisenberg group In mathematics, the Heisenberg group H, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form : \begin 1 & a & c\\ 0 & 1 & b\\ 0 & 0 & 1\\ \end under the operation of matrix multiplication. Elements ''a, b' ...

", ''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