Perturbation theory in a finite-dimensional space
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In this chapter we consider perturbation theory for linear operators in a finitedimensional space. The main question is how the eigenvalues and eigenvectors (or eigenprojections) change with the operator, in particular when the operator depends on a parameter analytically. This is a special case of a more general and more interesting problem in which the operator acts in an infinite-dimensional space.
KeywordsPerturbation Theory Branch Point Transformation Function Symmetric Operator Perturbation Series
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