It is proved that the Poisson measure is a spectral measure of some family of commuting selfadjoint operators acting on a space constructed from some generalization of the moment problem.
Yu. M. Berezansky, Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem, Methods Funct. Anal. Topology 22
(2016), no. 4, 311-329.
BibTex
@article {MFAT912,
AUTHOR = {Berezansky, Yu. M.},
TITLE = {Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {22},
YEAR = {2016},
NUMBER = {4},
PAGES = {311-329},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=912},
}
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