1. Inverse Problem for Conservative Curved Systems
- Author
-
Alexey Tikhonov
- Subjects
Characteristic function (probability theory) ,Mathematical analysis ,Construct (python library) ,Contrast (music) ,Standard theory ,Inverse problem ,Unit disk ,Transfer function ,Mathematics - Abstract
Conservative curved systems over multiply connected domains are introduced and relationships of such systems with related notions (functional model, characteristic function, and transfer function) are studied. In contrast to standard theory for the unit disk, characteristic functions and transfer functions are essentially different objects. We study possibility to recover the characteristic function for a given transfer function. As the result we obtain the procedure to construct the functional model for a given conservative curved system.
- Published
- 2009