A fundamental theory of linear transforms and applications to inverse problems

Description:  In this lecture, I would like to introduce some fundamental theory for linear transforms in the framework of Hilbert spaces and its general applications with very concrete typical examples. The contents will be given by the following key words: Reproducing kernel, Pythagorean theorem, inversion of the linear systems, inverse problem, inverse heat conduction, real inversion of the Laplace transform, analytically extension, observation data, non-linear system, non-linear transform, generalized inverse, Tikhonov regularization. Date:  2009-10-23 Start Time:   14:30 Speaker:  Saburou Saitoh (Emeritus Professor of Gunma University, Japan, and University of Aveiro, Portugal) Institution:  -- Place:  Room 5.5 Research Groups: -Analysis See more:   <Main>