A Study of Probability Measures Through Commutators
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The first-order moments and two families of commutators are proven to determine uniquely the moments of a probability measure on ℝ d . These families are the commutators between the annihilation and creation operators, and the commutators between the annihilation and preservation operators. An explicit method for recovering the moments from these commutators and first-order moments is presented.
KeywordsCommutator Annihilation operator Creation operator Preservation operator
Mathematics Subject Classification (2000)05E35 60H40
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