Bounds on the Segal-Bargmann transform of L^p functions

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dc.creatorHall, Brian C.
dc.date2001-03-01
dc.date.accessioned2026-07-07T04:28:20Z
dc.date.available2026-07-07T04:28:20Z
dc.descriptionThis paper gives necessary conditions and slightly stronger sufficient conditions for a holomorphic function to be the Segal-Bargmann transform of a function in L^p(R^d) with respect to a Gaussian measure. The proof relies on a family of inversion formulas for the Segal-Bargmann transform, which can be "tuned" to give the best estimates for a given value of p.
dc.descriptionTo appear in J. Fourier Analysis and Applications
dc.identifierhttps://arxiv.org/abs/math-ph/0103001
dc.identifierhttp://arxiv.org/abs/math-ph/0103001
dc.identifierJ. Fourier Analysis and Applications, Vol. 7 (2001), 553-569
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56747
dc.subjectMathematical Physics
dc.titleBounds on the Segal-Bargmann transform of L^p functions
dc.typetext

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