Develops theory of Berger-type charges for weighted shifts, proving k-hyponormality implies positivity of largest k+1 atom densities in signed atomic measures and charge representations for hyperexpansive shifts.
Simon, The classical moment problem as a self-adjoint finite diff erence operator, Adv
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Signed representing measures (Berger-type charges) in subnormality and related properties of weighted shifts
Develops theory of Berger-type charges for weighted shifts, proving k-hyponormality implies positivity of largest k+1 atom densities in signed atomic measures and charge representations for hyperexpansive shifts.