A new moment-based recovery formulation is introduced for measures with atomic and continuous components on compact support satisfying a separation criterion, with theoretical guarantees in three cases and new algorithms benchmarked.
Takep∈R[x] n,then R[x]n µ ∋[p] µ;R[x]n ={f:R→Rpolynomials,degf≤n;f=p µ−a.e.}, Hn ∋[p] µ;L2(R,µ) ={f:R→Rmeasurable functions;f=p µ−a.e.}
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On Moment-Based Recovery of Measures with Atomic and Continuous Parts
A new moment-based recovery formulation is introduced for measures with atomic and continuous components on compact support satisfying a separation criterion, with theoretical guarantees in three cases and new algorithms benchmarked.