Eigenfunction Expansions and Transformation Theory

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dc.creatorGadella, M.
dc.creatorGomez, F.
dc.date2006-07-21
dc.date.accessioned2026-07-07T07:20:48Z
dc.date.available2026-07-07T07:20:48Z
dc.descriptionGeneralized eigenfunctions may be regarded as vectors of a basis in a particular direct integral of Hilbert spaces or as elements of the antidual space $Φ^\times$ in a convenient Gelfand triplet $Φ\subseteq{\mathcal\H}\subseteqΦ^\times$. This work presents a fit treatment for computational purposes of transformations formulas relating different generalized bases of eigenfunctions in both frameworks direct integrals and Gelfand triplets. Transformation formulas look like usual in Physics literature, as limits of integral functionals but with well defined kernels. Several approaches are feasible. Here Vitali and martingale approaches are showed.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0607548
dc.identifierhttp://arxiv.org/abs/math/0607548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115077
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject47A70; 47N50
dc.titleEigenfunction Expansions and Transformation Theory
dc.typetext

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