We consider the problem of finding a d-dimensional spectral density through a moment problem which is characterized by an integer parameter ?. Previous results showed that there exists an approximate solution under the regularity condition ? = d/2+1. To realize the process corresponding to such a spectral density, one would take ? as small as possible. In this letter we show that this condition can be weakened as ? = d/2.

A Weaker Regularity Condition for the Multidimensional ?-Moment Problem

Zorzi, M
2023

Abstract

We consider the problem of finding a d-dimensional spectral density through a moment problem which is characterized by an integer parameter ?. Previous results showed that there exists an approximate solution under the regularity condition ? = d/2+1. To realize the process corresponding to such a spectral density, one would take ? as small as possible. In this letter we show that this condition can be weakened as ? = d/2.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3497093
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