Fredholm integral equations of the first kind and topological information theory (Articolo in rivista)

Type
Label
  • Fredholm integral equations of the first kind and topological information theory (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s00020-012-1970-z (literal)
Alternative label
  • De Micheli Enrico; Viano Giovanni Alberto (2012)
    Fredholm integral equations of the first kind and topological information theory
    in Integral equations and operator theory
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • De Micheli Enrico; Viano Giovanni Alberto (literal)
Pagina inizio
  • 553 (literal)
Pagina fine
  • 571 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.springerlink.com/content/e33142357w10wj6h/ (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 73 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 19 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Mathematical Reviews on the web (MathSciNet) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Biofisica, Consiglio Nazionale delle Ricerche, Genova, Italy - Dipartimento di Fisica, Universita' di Genova, Genova, Italy (literal)
Titolo
  • Fredholm integral equations of the first kind and topological information theory (literal)
Abstract
  • The Fredholm integral equations of the first kind are a classical example of ill-posed problem in the sense of Hadamard. If the integral operator is self-adjoint and admits a set of eigenfunctions, then a formal solution can be written in terms of eigenfunction expansions. One of the possible methods of regularization consists in truncating this formal expansion after restricting the class of admissible solutions through a-priori global bounds. In this paper we reconsider various possible methods of truncation from the viewpoint of the epsilon-coverings of compact sets. (literal)
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