http://www.cnr.it/ontology/cnr/individuo/prodotto/ID180735
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
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- De Micheli Enrico; Giovanni Alberto Viano (literal)
- Pagina inizio
- Pagina fine
- 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)
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- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
- 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)
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- Autore CNR
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