# Segal–Bargmann Transforms Associated to a Family of Coupled Supersymmetries

@article{Williams2022SegalBargmannTA, title={Segal–Bargmann Transforms Associated to a Family of Coupled Supersymmetries}, author={Cameron L. Williams}, journal={Complex Analysis and Operator Theory}, year={2022} }

. The Segal-Bargmann transform is a Lie algebra and Hilbert space isomorphism between real and complex representations of the oscillator algebra. The Segal-Bargmann transform is useful in time-frequency analysis as it is closely related to the short-time Fourier transform. The Segal-Bargmann space provides a useful example of a reproducing kernel Hilbert space. Coupled supersymmetries (coupled SUSYs) are generalizations of the quantum harmonic oscillator that have a built-in supersymmetric…

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