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.
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
