Overview
- Number of examples to illustrate the main theory.
- Historical perspectives included to show the development of potential theory in various forms.
- Self-contained text for an easy reading.
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes of the Unione Matematica Italiana (UMILN, volume 12)
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Table of contents (5 chapters)
Keywords
About this book
Reviews
From the reviews:
“In this book a potential-theoretic style of the theory is built into the framework of finite or infinite networks. The motivation of the book is to build a function theory on networks reflecting ideas of potential theory on locally compact spaces. … The book is written in a reader-friendly way and contains various potential-theoretic results … .” (Sirkka-Liisa Eriksson, Zentralblatt MATH, Vol. 1239, 2012)
“The book under review is a treatise of the potential theory on a network, that is, a graph with edge weights that need not be symmetric. … Besides being a very useful resource on the current important developments of the subject, this book has the potential even to change the mindset of those who are vocal critics of axiomatic potential theory, which is viewed by some as an abstruse and unappealing field.” (Flavia Colonna, Mathematical Reviews, Issue 2012 h)
Authors and Affiliations
Bibliographic Information
Book Title: Harmonic Functions and Potentials on Finite or Infinite Networks
Authors: Victor Anandam
Series Title: Lecture Notes of the Unione Matematica Italiana
DOI: https://doi.org/10.1007/978-3-642-21399-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-21398-4Published: 29 June 2011
eBook ISBN: 978-3-642-21399-1Published: 27 June 2011
Series ISSN: 1862-9113
Series E-ISSN: 1862-9121
Edition Number: 1
Number of Pages: X, 141
Topics: Potential Theory, Functions of a Complex Variable, Partial Differential Equations