Operator theory

2015

Functional analysis -- Topological algebras, normed rings and algebras, Banach algebras -- General theory of topological algebrasOrdinary differential equations -- Instructional exposition (textbooks, tutorial papers, etc.).TextbooksOrdinary differential equations -- Ordinary differential operators -- General spectral theoryPartial differential equations -- Spectral theory and eigenvalue problems -- General topics in linear spectral theoryMathematical analysisFunctional analysis -- Instructional exposition (textbooks, tutorial papers, etc.).Quantum theory -- General mathematical topics and methods in quantum theory -- Selfadjoint operator theory in quantum theory, including spectral analysisOperator theory -- Instructional exposition (textbooks, tutorial papers, etc.).Topological groups, Lie groups -- Locally compact abelian groups (LCA groups) -- General properties and structure of LCA groupsHarmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Orthogonal functions and polynomials, general theoryOperator theory