Abstract
The first-order moments and two families of commutators are proven to determine uniquely the moments of a probability measure on ℝd. 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.
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Stan, A.I., Whitaker, J.J. A Study of Probability Measures Through Commutators. J Theor Probab 22, 123–145 (2009). https://doi.org/10.1007/s10959-008-0167-5
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DOI: https://doi.org/10.1007/s10959-008-0167-5