Segal–Bargmann transform: the q-deformation
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DOI: 10.1007/s11005-017-1039-7
Abstract: We give identifications of the q-deformed Segal–Bargmann transform and define the Segal–Bargmann transform on mixed q-Gaussian variables. We prove that, when defined on the random matrix model of Śniady for the q-Gaussian variable, the classical… read more here.
Keywords: transform deformation; bargmann transform; segal bargmann; deformed segal ... See more keywords
The Bargmann transform on Lp(R)
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.08.031
Abstract: Abstract We study the mapping properties of the Bargmann transform B on L p spaces of the real line. It is well known that B maps L 2 ( R ) isometrically onto the Fock… read more here.
Keywords: fock space; bargmann transform; transform;