Segal-Bargmann transforms associated to a family of coupled supersymmetries

DOI10.1007/s11785-022-01272-1OpenAlexW3207879581WikidataQ114221741 ScholiaQ114221741MaRDI QIDQ2080174

Cameron L. Williams

Publication date: 7 October 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08995

zbMATH Keywords

reproducing kernel Hilbert spacesLie algebrasBessel functionssupersymmetryholomorphic function spacesSegal-Bargmann transforms

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) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) General integral transforms (44A05)

Uses Software

• DLMF

Cites Work

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