In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a result of studies of linear algebra and the solutions of systems of linear equations and their generalizations. The theory is connected to that of analytic functions because the spectral properties of an operator are related to analytic functions of the spectral parameter.
Read more about Spectral Theory: Mathematical Background, Physical Background, A Definition of Spectrum, What Is Spectral Theory, Roughly Speaking?, Resolution of The Identity, Resolvent Operator, Operator Equations
Famous quotes containing the words spectral and/or theory:
“How does one kill fear, I wonder? How do you shoot a spectre through the heart, slash off its spectral head, take it by its spectral throat?”
—Joseph Conrad (1857–1924)
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—Thomas Henry Huxley (1825–95)