On Functional Estimates for Ill-Posed Linear Problems
Abstract
Ill-posed linear problems in Hilbert space are considered as stochastic filtering problems. Functional estimates of the signal x are given for the problem Ax-y=z where A is a linear, not necessarily bounded operator between Hilbert spaces and x, y, z are Hilbert space valued random elements. As an application, functional estimates are given explicitly for J. Radon's transformed signals with additive white noise. Reprints.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1988
- Accession Number
- ADA198004
Entities
People
- A. Keller
- R. Brigola
Organizations
- University of North Carolina at Chapel Hill