Clifford Algebra-Valued Segal–Bargmann Transform and Taylor Isomorphism
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DOI: 10.1007/s00006-021-01171-2
Abstract: Classical Segal-Bargmann theory studies three Hilbert space unitary isomorphisms that describe the wave-particle duality and the configuration space-phase space. In this work, we generalized these concepts to Clifford algebra-valued functions. We establish the unitary isomorphisms… read more here.
Keywords: clifford algebra; segal bargmann; space; algebra valued ... See more keywords
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