::Rigged Hilbert space
::concepts
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: Intro | NEXT: Motivation |
<< | >> |
Hilbert::space ''H''::gelfand Spaces::space''' ''i''::which Theory::mathbb Subseteq::dense
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: Intro | NEXT: Motivation |
<< | >> |