Difference between revisions of "Resolvent formalism"
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| − | In [[mathematics]], the '''resolvent formalism''' is a technique for applying concepts from [[complex analysis]] to the study of the spectrum of operators on Banach spaces and more general spaces. | + | In [[mathematics]], the '''resolvent formalism''' is a technique for applying concepts from [[complex analysis]] to the study of the spectrum of operators on [[Banach space|Banach spaces]] and more general spaces. |
The resolvent captures the spectral properties of an operator in the analytic structure of the resolvent. | The resolvent captures the spectral properties of an operator in the analytic structure of the resolvent. | ||
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== See also == | == See also == | ||
| + | * [[Banach space]] | ||
* [[Compact operator]] | * [[Compact operator]] | ||
* [[Decomposition of spectrum (functional analysis)]] | * [[Decomposition of spectrum (functional analysis)]] | ||
Latest revision as of 19:11, 24 August 2016
In mathematics, the resolvent formalism is a technique for applying concepts from complex analysis to the study of the spectrum of operators on Banach spaces and more general spaces.
The resolvent captures the spectral properties of an operator in the analytic structure of the resolvent.
See also
- Banach space
- Compact operator
- Decomposition of spectrum (functional analysis)
- Fredholm theory
- Holomorphic functional calculus
- Laplace transform
- Liouville-Neumann series
- Resolvent set
- Spectral theory
- Stone's theorem on one-parameter unitary groups
- Unbounded operator
External links
- Resolvent formalism @ Wikipedia
