30 citations · 48 across the 11 of their papers we have counts for
5 papers · 1 filter
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,…
Time-dependent moments from partial differential equations and the time-dependent set of atoms
Raúl E. Curto, Philipp J. di Dio, Milan Korda +1
We study the time-dependent moments and associated polynomials arising from the partial differential equation , and consider in deta…
The multidimensional truncated Moment Problem: Carathéodory Numbers from Hilbert Functions
Philipp J. di Dio, Mario Kummer
In this paper we improve the bounds for the Carathéodory number, especially on algebraic varieties and with small gaps (not all monomials are present). We provide explicit lower an…
The multidimensional truncated Moment Problem: Carathéodory Numbers
Philipp J. di Dio, Konrad Schmüdgen
Let be a finite-dimensional subspace of , where is a locally compact Hausdorff space, and a ba…
The multidimensional truncated Moment Problem: Atoms, Determinacy, and Core Variety
Philipp J. di Dio, Konrad Schmüdgen
This paper is about the moment problem on a finite-dimensional vector space of continuous functions. We investigate the structure of the convex cone of moment functionals (supporti…