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A Study of Probability Measures Through Commutators |
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| Authors: | Aurel I Stan John J Whitaker |
| Institution: | (1) Department of Mathematics, The Ohio State University at Marion, 1465 Mount Vernon Avenue, Marion, OH 43302, USA;(2) Department of Mathematical Sciences, Shawnee State University, Portsmouth, OH 45501, USA |
| 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 |
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