This research note contains some recent results in the theory of strongly continuous semigroups of linear operators. Topics covered include the Feynman-Kac formalism with applications to Schrödinger operators, positivity preserving semigroups, quadratic form theory, holomorphic …
These notes represent a course of lectures delivered at the Australian National University in the second semester of 1982 as part of the mathematics honours programme. Most of the material contained in the notes is standard although new refinements and variations are included.
These notes represent a course of lectures delivered at the Australian National University in the second semester of 1982 as part of the mathematics honours programme. Most of the material contained in the notes is standard although new refinements and variations are included.
Invariant theory has a long history, almost one-and-a-half centuries, and arose from certain problems from number theory, algebra, and geometry in the works of Gauss, Jacobi, Eisenstein, and Hermite. Invariants came into existence as a tool to distinguish and classify nonequival…
