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The uniqueness question in the multidimensional moment problem with applications to phase space observables

Anatolij Dvurecenskij·Pekka Lahti·Kari Ylinen
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Abstract

The theory of holomorphic functions of several complex variables is applied in proving a multidimensional variant of a theorem involving an exponential boundedness criterion for the classical moment problem. A theorem of Petersen concerning the relation between the multidimensional and one-dimensional moment problems is extended for half-lines and compact subsets of the real line. These results are used to solve the moment problem for the quantum phase space observables generated by the number states.

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Anatolij Dvurecenskij, Pekka Lahti, Kari Ylinen. 2001-08-13. The uniqueness question in the multidimensional moment problem with applications to phase space observables. https://doi.org/10.1016/s0034-4877(02)80044-1

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