Generalized Functions, Operator Theory, and Dynamical Systems

Part I: Generalized Functions and Operator Theory, An Introduction to Hyperfunctions and ?-expansions, Partial Inner Product Spaces of Analytic Functions, Rigged Spectral States: A Proclivity for Eigenvalues, Densities of Singular Measures and Generalized Spectral Decompositions, Convolution Kernels and Generalized Functions, Spectral Theory of Closed Linear Operators on Banach Spaces from a Locally Convex Point of View, Ultradistributions and the Levinson Condition, Representation of the Derivatives and Products of the Delta Function in Hilbert Space, Series Representations of the Complex Delta Function, Antieigenvalues: An Extended Spectral Theory, Part II: Operator Theory and Dynamical Systems Laws of Nature, Probability, and Time Symmetry Breaking, Extended Spectral Decompositions of Evolution Operators, Some Little Things About Rigged Hilbert Spaces and Quantum Mechanics and All That, Axiomatics of Thermodynamics and Quantum Chaos, Stochastic Evolution on Product Manifolds. Interaction Problems with Distributions and Hyperfunctions Data, Absolute Continuity of Convolutions of Singular Measures and New Branches of Spectrum of Liouvillians and Few-Body Hamiltonians, On Scattering Theories Involving Moving Boundaries, The Eigenvalue Problem for Networks of Beams Generalized Perturbations and Operator Relations, On Spectral Analysis of a Class of Integral-Difference Collision Operators, Dynamical Aspects of Processes with Long-Range Memory