Functional Analysis, Spectral Theory, and Applications

515.7

Einsiedler, Manfred. Functional Analysis, Spectral Theory, and Applications by Manfred Einsiedler, Thomas Ward. -
XIV, 614 p. 33 illus. online resource. - (Graduate Texts in Mathematics, 276) Content notes : Motivation -- Norms and Banach Spaces -- Hilbert Spaces, Fourier Series, Unitary Representations -- Uniform Boundedness and Open Mapping Theorem -- Sobolev Spaces and Dirichlet’s Boundary Problem -- Compact Self-Adjoint Operators, Laplace Eigenfunctions -- Dual Spaces -- Locally Convex Vector Spaces -- Unitary Operators and Flows, Fourier Transform -- Locally Compact Groups, Amenability, Property (T) -- Banach Algebras and the Spectrum -- Spectral Theory and Functional Calculus -- Self-Adjoint and Symmetric Operators -- The Prime Number Theorem -- Appendix A: Set Theory and Topology -- Appendix B: Measure Theory -- Hints for Selected Problems -- Notes. 9783319585406 * Functional analysis. Differential Equations. Differential equations, partial. Harmonic analysis. Number theory. Differentiable dynamical systems. Functional Analysis. Ordinary Differential Equations. Partial Differential Equations. Abstract Harmonic Analysis. Number Theory. Dynamical Systems and Ergodic Theory. * Ward, Thomas., aut, http://id.loc.gov/vocabulary/relators/aut * Title * Series