Spectral analysis, differential equations, and mathematical physics

Differential equations Mathematical physics Ordinary differential equations -- Dynamic equations on time scales or measure chains -- Dynamic equations on time scales or measure chains Ordinary differential equations -- Ordinary differential operators -- General spectral theory Partial differential equations -- Spectral theory and eigenvalue problems -- General topics in linear spectral theory Partial differential equations -- Hyperbolic equations and systems -- Initial value problems for first-order hyperbolic systems Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems Operator theory -- General theory of linear operators -- General (adjoints, conjugates, products, inverses, domains, ranges, etc.). Operator theory -- Special classes of linear operators -- Jacobi (tridiagonal) operators (matrices) and generalizations Quantum theory -- Quantum field theory; related classical field theories -- Constructive quantum field theory