Applications of the q-Fourier Analysis to the Symmetric Moment Problem
Lazhar Dhaouadi
TL;DR
This paper introduces a new criterion based on q-Fourier analysis to determine when the symmetric moment problem is determinate, offering an alternative to Carleman's criterion.
Contribution
It provides a novel sufficient condition for the symmetric moment problem's determinacy using q-Fourier analysis, distinct from existing criteria.
Findings
Established a new determinacy criterion using q-Fourier analysis.
Showed the criterion is not a special case of Carleman's criterion.
Enhanced understanding of conditions for the symmetric moment problem.
Abstract
Sufficient condition for the symmetric moment problem to be determinate is given using standards methods of -Fourier analysis. This condition it cannot be a particular case of Carleman's criterion.
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Taxonomy
TopicsMathematical functions and polynomials · Mathematical Analysis and Transform Methods · Mathematical Inequalities and Applications