First course in spectral theory /
A first course in spectral theory
Milivoje Lukic.
- Providence, Rhode Island : American Mathematical Society, 2022
- xvi, 472 p. ; 25 cm.
- Graduate studies in mathematics, 226 1065-7339 ; .
$ 85/- TB335/2
9781470471927 (pbk.)
2022028354
Spectral theory (Mathematics)--Textbooks. Operator theory -- Special classes of linear operators -- Hermitian and normal operators (spectral measures, functional calculus, etc.). Operator theory -- Special classes of linear operators -- Symmetric and selfadjoint operators (unbounded). Operator theory -- Special classes of linear operators -- Jacobi (tridiagonal) operators (matrices) and generalizations. Ordinary differential equations -- Ordinary differential operators -- Particular operators (Dirac, one-dimensional Schrodinger, etc.). Partial differential equations -- Elliptic equations and systems -- Schrodinger operator. Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces -- Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product).