Operator Theory
Our group is working on several aspects of Operator Theory and its applications. The research directions include: Spectra of Toeplitz and Wiener-Hopf operators; factorization of matrix functions from various analytic and algebraic classes; numerical ranges of structured matrices and Hilbert space operators; and boundary value problems for analytic functions. The matrix spectral factorization method, obtained earlier with the participation of team members, has been extended to the multivariable case and this innovation has been awarded a USPTO patent. The practical application of the method in neuroscience and economics is being pursued.
Contact Us
Primary Investigator
Ilya Spitkovsky
Professor of Mathematics
ims2@nyu.edu
Lasha Ephremidze
Research Associate
Email: e23@nyu.edu