A Study of Probability Measures Through Commutators

Aurel I. Stan () and John J. Whitaker ()
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Aurel I. Stan: The Ohio State University at Marion
John J. Whitaker: Shawnee State University

Journal of Theoretical Probability, 2009, vol. 22, issue 1, 123-145

Abstract: Abstract 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.

Keywords: Commutator; Annihilation operator; Creation operator; Preservation operator; 05E35; 60H40 (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10959-008-0167-5

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