Global aspects of classical and axiomatic potential theory are developed in a purely algebraic way, in terms of a new algebraic structure called a mixed lattice semigroup. This generalizes the notion of a Riesz space (vector lattice) by replacing the usual symmetrical lower and …
The author studies Hardy spaces on C¹ and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are invaluable tool in harmonic analysis. For this reason these spaces have been studied extensively by many authors.
We explicitly construct consistent conditional distributions for a large class of Gaussian measures defined on the space of (tempered) distributions on a domain in [italic]D in [italic]I[bold]R[superscript italic]d.
"This book is the first to be devoted entirely to the potential theory of the heat equation, and thus deals with time dependent potential theory. ... The generalized Dirichlet problem on arbitrary open sets is given a treatment that reflects its distinctive nature for an equatio…
The purpose of this book is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line over an arbitrary complete, algebraically closed non-Archimedean field.
Takes the student with a background in the undergraduate courses in physics and mathematics towards the skills needed for graduate work in theoretical physics. The author uses Green's functions to explore the physics of potentials, diffusion and waves. Case histories illustrate …
