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.

THE CLASSICAL AND GENERALIZED MOMENT PROBLEM IN THE THEORY OF RELAXATION

GROSSO, GIUSEPPE;
1985

Abstract

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.
Giannozzi, P; Grosso, Giuseppe; PASTORI PARRAVICINI, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/6063
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