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math.FA2024
Absolutely Continuous Representing Measures of Moment Sequences with an Emphasis on the Regularity of the Densities
Philipp J. di Dio
In this work we investigate and characterize linear functionals with absolutely continuous representing measures , i.e., $\mathrm{d}Î…
math.FA2024
The Hadamard Product of Moment Sequences, Diagonal Positivity Preservers, and their Generators
Philipp J. di Dio, Lars-Luca Langer
In this work we investigate special aspects of positivity preservers and especially diagonal positivity preservers, i.e., linear maps $T:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}[x_1,…
math.FA2024
-Positivity Preservers and their Generators
Philipp J. di Dio, Konrad Schmüdgen
We study -positivity preservers with given closed , i.e., linear maps such that $T\mathrm{Pos}(…
math.AG2024
On Positivity Preservers with constant Coefficients and their Generators
Philipp J. di Dio
In this work we study positivity preservers with constant coefficients and define their generators if they exist, i.e.…