Anno2016
AutoriEnrico De Micheli, Giovanni Alberto Viano
AbstractThe main purpose of this paper is to focus on various issues inherent to the regularization theory of Fredholm integral equations of the first kind. Particular attention is devoted to the probabilistic approach to regularization, and a regularizing algorithm based on statistical methods is then proposed and tested on examples. The information theory approach is studied from two different viewpoints: the first approach is the standard one based on probability theory; the second one is formulated, in analogy with communication theory, in terms of the $\varepsilon$-capacity in the sense elaborated by Kolmogorov and his school. The classical problem of the resolving power in optics is then used to exemplify the relation between these two approaches.
RivistaThe Journal Of Integral Equations And Applications
ISSN0897-3962
Impact factor
Volume28
Pagina inizio31
Pagina fine74
Autori IBFEnrico DE MICHELI
Linee di Ricerca IBFMD.P01.004.001
Sedi IBFIBF.GE