Anno2012
AutoriDe Micheli Enrico; Giovanni Alberto Viano
AbstractWe 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.
RivistaForum Mathematicum
ISSN0933-7741
Impact factor
Volume24
Pagina inizio1316
Pagina fine1269
Autori IBFEnrico DE MICHELI
Linee di Ricerca IBFMD.P01.004.001
Sedi IBFIBF.GE