Coherent states on quaternion slices and a measurable field of Hilbert spaces

DOI10.1016/j.geomphys.2016.08.006zbMath1348.81270arXiv1603.02509OpenAlexW2963776932MaRDI QIDQ335824

B. Muraleetharan, K. Thirulogasanthar

Publication date: 2 November 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02509

zbMATH Keywords

group representationreproducing kernelquaternioncoherent statedirect integral

Mathematics Subject Classification ID

Coherent states (81R30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (3)

General construction of reproducing kernels on a quaternionic Hilbert space ⋮ Quaternionic continuous wavelet transform on a quaternionic Hilbert space ⋮ Squeezed states in the quaternionic setting

Cites Work

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• Direct Integrals of Hilbert Spaces I.
• Direct Integrals of Hilbert Spaces II.
• Normal Operators on Quaternionic Hilbert Spaces
• Theory of operator algebras I.

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