Coordinate formalism on abstract Hilbert space

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dc.creatorKryukov, Alexey A.
dc.date2002-01-15
dc.date.accessioned2026-07-07T04:28:54Z
dc.date.available2026-07-07T04:28:54Z
dc.descriptionCoordinate formalism on Hilbert manifolds developed in Kryukov is reviewed. The results of Kryukov are applied to the simpliest case of a Hilbert manifold: the abstract Hilbert space. In particular, functional transformations preserving properties of various linear operators on Hilbert spaces are found. Any generalized solution of an arbitrary linear differential equation with constant coefficients is shown to be related to a smooth solution by a (functional) coordinate transformation. The results also suggest a way of using generalized functions to solve nonlinear problems on Hilbert spaces.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0201031
dc.identifierhttp://arxiv.org/abs/math-ph/0201031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56968
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.titleCoordinate formalism on abstract Hilbert space
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