Jim Agler is a mathematician who is an emeritus professor at the University of California, San Diego. He is a fellow of the American Mathematical Society since 2016, for "contributions to operator theory and the theory of analytic functions of several complex variables".[1]
He obtained his Ph.D. from the Indiana University Bloomington in 1980 under the supervision of John B. 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 (American Mathematical Society, 2002).[2]
Some efforts to extend the Herglotz representation theorem are described in Classical function theory, Operator Dilation Theory, and Machine Computations on Multiply-Connected Domains.[3]