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::Rigged Hilbert space

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In mathematics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction designed to link the distribution and square-integrable aspects of functional analysis. Such spaces were introduced to study spectral theory in the broad sense.{{ safesubst:#invoke:Unsubst||$N=Vague |date=__DATE__ |$B= {{#invoke:Category handler|main}}[vague] }} They bring together the 'bound state' (eigenvector) and 'continuous spectrum', in one place.


Rigged Hilbert space sections
Intro  Motivation  Functional analysis approach  Formal definition (Gelfand triple)  References  

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In mathematics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction designed to link the distribution and square-integrable aspects of functional analysis. Such spaces were introduced to study spectral theory in the broad sense.{{ safesubst:#invoke:Unsubst||$N=Vague |date=__DATE__ |$B= {{#invoke:Category handler|main}}[vague] }} They bring together the 'bound state' (eigenvector) and 'continuous spectrum', in one place.


Rigged Hilbert space sections
Intro  Motivation  Functional analysis approach  Formal definition (Gelfand triple)  References  

PREVIOUS: IntroNEXT: Motivation
<<>>