Spectral analysis, differential equations, and mathematical physics :
xxx, 376 pages : illustrations ; 26 cm - (Proceedings of symposia in pure mathematics ; volume 87) 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. Quantum theory -- General mathematical topics and methods in quantum theory -- Selfadjoint operator theory in quantum theory, including spectral analysis. Systems theory; control -- Stochastic systems and control -- Stochastic systems, general. Holden, H.Simon, Barry,Teschl, Gerald,