Harry Dym
The Renee and Jay Weiss Professor
A number of my research interests
stem from theoretical problems that arise in electrical engineering design problems,
and are connected to the areas of signal processing and control. In recent years,
much of my time has been devoted to investigations in interpolation theory and
inverse problems for canonical systems of integral and differential equations.
Interpolation theory has to do with determining whether the desired characteristics
of a system can be realized within prescribed boundaries. In the class of inverse
problems under consideration, the objective is to recover the coefficients of
a differential equation of prescribed form from knowledge based on its solution.
The tools I use are from classical analysis, operator theory and complex function
theory.
Recent Publications
- Riccati equations and bitangential interpolation problems with singular Pick matrices, in: Fast Algorithms for Structured Matrices: Theory and Applications (V. Olshevsky, ed.) Contemp. Math. 323, Amer. Math. Soc., Providence, R.I., 2003, pp. 361-391.
- [with D. Z. Arov] The bitangential inverse spectral problem for canonical systems. J. Funct. Anal., in press.
- [with V. Bolotnikov] On boundary interpolation for matrix Schur functions. Memoirs Amer. Math. Soc., in press.