A Minimum Principle for Positive Harmonic Functions
Title | A Minimum Principle for Positive Harmonic Functions PDF eBook |
Author | Björn Dahlberg |
Publisher | |
Pages | 28 |
Release | 1973 |
Genre | |
ISBN |
A Minimum Principle for Positive Harmonic Functions
Title | A Minimum Principle for Positive Harmonic Functions PDF eBook |
Author | Arne Beurling |
Publisher | |
Pages | 7 |
Release | 1965 |
Genre | |
ISBN |
Harmonic Function Theory
Title | Harmonic Function Theory PDF eBook |
Author | Sheldon Axler |
Publisher | Springer Science & Business Media |
Pages | 266 |
Release | 2013-11-11 |
Genre | Mathematics |
ISBN | 1475781377 |
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Harmonic Functions and Potentials on Finite or Infinite Networks
Title | Harmonic Functions and Potentials on Finite or Infinite Networks PDF eBook |
Author | Victor Anandam |
Publisher | Springer Science & Business Media |
Pages | 152 |
Release | 2011-06-27 |
Genre | Mathematics |
ISBN | 3642213995 |
Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications from Bauer, Constantinescu and Cornea. A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network, on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory.
Minimal Positive Harmonic Functions
Title | Minimal Positive Harmonic Functions PDF eBook |
Author | Pieter Johannes Kostense |
Publisher | |
Pages | 72 |
Release | 1978 |
Genre | |
ISBN |
Harmonic Function Theory
Title | Harmonic Function Theory PDF eBook |
Author | |
Publisher | |
Pages | 231 |
Release | 1992 |
Genre | Harmonic functions |
ISBN | 9781489911865 |
Finely Harmonic Functions
Title | Finely Harmonic Functions PDF eBook |
Author | Bent Fuglede |
Publisher | Lecture Notes in Mathematics |
Pages | 200 |
Release | 1972-10-04 |
Genre | Mathematics |
ISBN |