Holomorphic extensions associated with series expansions (Articolo in rivista)

Type
Label
  • Holomorphic extensions associated with series expansions (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1515/form.2011.104 (literal)
Alternative label
  • De Micheli Enrico; Giovanni Alberto Viano (2012)
    Holomorphic extensions associated with series expansions
    in Forum mathematicum
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • De Micheli Enrico; Giovanni Alberto Viano (literal)
Pagina inizio
  • 1269 (literal)
Pagina fine
  • 1316 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.degruyter.com/view/j/form.ahead-of-print/form.2011.104/form.2011.104.xml?format=INT (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 24 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 48 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 6 (literal)
Note
  • ISI Web of Science (WOS) (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
  • Holomorphic extensions associated with series expansions (literal)
Abstract
  • We study the holomorphic extension associated with power series, i.e., the analytic continuation from the unit disk to the cut-plane \ 1, ). Analogous results are obtained also in the study of trigonometric series: we establish conditions on the series coefficients which are sufficient to guarantee the series to have a KMS analytic structure. In the case of power series we show the connection between the unique (Carlsonian) interpolation of the coefficients of the series and the Laplace transform of a probability distribution. Finally, we outline a procedure which allows us to obtain a numerical approximation of the jump function across the cut starting from a finite number of power series coefficients. By using the same methodology, the thermal Green functions at real time can be numerically approximated from the knowledge of a finite number of noisy Fourier coefficients in the expansion of the thermal Green functions along the imaginary axis of the complex time plane. (literal)
Prodotto di
Autore CNR

Incoming links:


Prodotto
Autore CNR di
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
data.CNR.it