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The Classical and Generalized Moment Problem in the Theory of Relaxation
Author(s) -
Giannozzi P.,
Grosso G.,
Parravicini G. Pastori
Publication year - 1985
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221280230
Subject(s) - formalism (music) , mathematics , relaxation (psychology) , moment (physics) , sensitivity (control systems) , product (mathematics) , statistical physics , algorithm , physics , quantum mechanics , geometry , psychology , art , musical , social psychology , electronic engineering , engineering , visual arts
The classical moment problem for continued fraction expansion of relaxation functions is surveyed. The theory is then extended to the moment problem associated to relaxation operators or super‐operators. Numerical aspects and sensitivity of algorithms to round‐off errors are also examined. A new convenient approach is developed exploiting a product‐difference recursive scheme, within the memory function formalism.