Infinitesimal Fourier Transformation for The Space of Functionals

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dc.creatorNitta, Takashi
dc.creatorOkada, Tomoko
dc.date2004-05-13
dc.date.accessioned2026-07-07T05:08:12Z
dc.date.available2026-07-07T05:08:12Z
dc.descriptionThe purpose is to formulate a Fourier transformation for the space of functionals, as an infinitesimal meaning. We extend ${\bf R}$ to $ ^{\star}(^{\ast}{\bf R})$ under the base of nonstandard methods for the construction. The domain of a functional is the set of all internal functions from a $ ^{\ast}$-finite lattice to a $ ^{\ast}$-finite lattice with a double meaning. Considering a $ ^{\ast}$-finite lattice with a double meaning, we find how to treat the domain for a functional in our theory of Fourier transformation, and calculate two typical examples.
dc.identifierhttps://arxiv.org/abs/math/0405244
dc.identifierhttp://arxiv.org/abs/math/0405244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71171
dc.subjectLogic
dc.subject03H05;46S20
dc.titleInfinitesimal Fourier Transformation for The Space of Functionals
dc.typetext

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