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List of contents
Part I: Generalized Functions and Operator TheoryAn Introduction to Hyperfunctions and ?-expansions, G. LumerPartial Inner Product Spaces of Analytic Functions, J.-P. AntoineRigged Spectral States: A Proclivity for Eigenvalues, K. GustafsonDensities of Singular Measures and Generalized Spectral Decompositions, I. Antoniou and Z. SuchaneckiConvolution Kernels and Generalized Functions, B. Bäumer, G. Lumer, and F. NeubranderSpectral Theory of Closed Linear Operators on Banach Spaces from a Locally Convex Point of View, V. WrobelUltradistributions and the Levinson Condition, I. Cioranescu and L. ZsidoRepresentation of the Derivatives and Products of the Delta Function in Hilbert Space, Yu. MelnikovSeries Representations of the Complex Delta Function, I. Antoniou, Z. Suchanecki, and S. TasakiAntieigenvalues: An Extended Spectral Theory, K. GustafsonPart II: Operator Theory and Dynamical SystemsLaws of Nature, Probability, and Time Symmetry Breaking, I. Prigogine and T. PetroskyExtended Spectral Decompositions of Evolution Operators, I. Antoniou and S. ShkarinSome Little Things About Rigged Hilbert Spaces and Quantum Mechanics and All That, A. Bohm, M. Gadella, and S. WickramasekaraAxiomatics of Thermodynamics and Quantum Chaos, V. MaslovStochastic Evolution on Product Manifolds. S. Albeverio, A. Daletskii, and Yu. KondratievInteraction Problems with Distributions and Hyperfunctions Data, G. LumerAbsolute Continuity of Convolutions of Singular Measures and New Branches of Spectrum of Liouvillians and Few-Body Hamiltonians, L Bos and B PavlovOn Scattering Theories Involving Moving Boundaries, G. F. RoachThe Eigenvalue Problem for Networks of Beams, B Dekoninck and S NicaiseGeneralized Perturbations and Operator Relations, P Kurasov and B PavlovOn Spectral Analysis of a Class of Integral-Difference Collision Operators, Yu. MelnikivDynamical Aspects of Processes with Long-Range Memor
Summary
A compilation of material presented at the Hyperfunctions, Operator Theory and Dynamical Systems workshop-symposium at the International Solvay Institutes for Physics and Chemistry, January, 1997. It covers advanced methods of generalized functions, operator theory, singular problems with distribution and hyperfunction data and harmonic analysis.