Jim Agler is a mathematician who is an emeritus professor at the

University of California, San Diego The University of California, San Diego (UC San Diego in communications material, formerly and colloquially UCSD) is a public university, public Land-grant university, land-grant research university in San Diego, California, United States. Es ...

. He is 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, ...

since 2016, for "contributions to

operator theory In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may be presented abstractly by their characteristics, such as bounded linear operato ...

and the theory of

analytic function In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions. Functions of each type are infinitely differentiable, but complex ...

s of

several complex variables The theory of functions of several complex variables is the branch of mathematics dealing with functions defined on the complex coordinate space \mathbb C^n, that is, -tuples of complex numbers. The name of the field dealing with the properties ...

". He obtained his Ph.D. from the

Indiana University Bloomington Indiana University Bloomington (IU Bloomington, Indiana University, IU, IUB, or Indiana) is a public university, public research university in Bloomington, Indiana, United States. It is the flagship university, flagship campus of Indiana Univer ...

in 1980 under the supervision of

John B. Conway John Bligh Conway (born September 22, 1939) is an American mathematician. He is currently a professor emeritus at the George Washington University. His specialty is functional analysis, particularly bounded operators on Hilbert spaces. Conway ...

. His thesis was on Sub-Jordan operators. Agler and John E. McCarthy are the authors of the book ''Pick Interpolation and Hilbert Function Spaces'' (

, 2002). Some efforts to extend the

Herglotz representation theorem In mathematics, a positive harmonic function on the unit disc in the complex numbers is characterized as the Poisson integral of a finite positive measure on the circle. This result, the ''Herglotz-Riesz representation theorem'', was proved indep ...

are described in ''Classical function theory, Operator Dilation Theory, and Machine Computations on Multiply-Connected Domains''.Jim Agler, John Harland, and Benjamin J. Raphael (2008) ''Classical Function Theory, Operator Dilation Theory, and Machine Computations on Multiply-Connected Domains'',

Memoirs of the American Mathematical Society ''Memoirs of the American Mathematical Society'' is a mathematical journal published by the American Mathematical Society and intended to carry peer-reviewed book-length research publications (monographs). As such, it has been described as havin ...

#892,

References

External links

*http://www.math.ucsd.edu/~jagler/pdf/Curriculum%20Vitae.pdf Year of birth missing (living people) Living people 20th-century American mathematicians University of California, San Diego faculty Indiana University Bloomington alumni Place of birth missing (living people) 21st-century American mathematicians {{US-mathematician-stub