|
|
|
|
| LEADER |
02228nmm a2200313 u 4500 |
| 001 |
EB000386962 |
| 003 |
EBX01000000000000000240014 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
130626 ||| eng |
| 020 |
|
|
|a 9783642213991
|
| 100 |
1 |
|
|a Anandam, Victor
|
| 245 |
0 |
0 |
|a Harmonic Functions and Potentials on Finite or Infinite Networks
|h Elektronische Ressource
|c by Victor Anandam
|
| 250 |
|
|
|a 1st ed. 2011
|
| 260 |
|
|
|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2011, 2011
|
| 300 |
|
|
|a X, 141 p
|b online resource
|
| 505 |
0 |
|
|a 1 Laplace Operators on Networks and Trees -- 2 Potential Theory on Finite Networks -- 3 Harmonic Function Theory on Infinite Networks -- 4 Schrödinger Operators and Subordinate Structures on Infinite Networks -- 5 Polyharmonic Functions on Trees
|
| 653 |
|
|
|a Functions of complex variables
|
| 653 |
|
|
|a Potential theory (Mathematics)
|
| 653 |
|
|
|a Partial Differential Equations
|
| 653 |
|
|
|a Functions of a Complex Variable
|
| 653 |
|
|
|a Potential Theory
|
| 653 |
|
|
|a Partial differential equations
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
|
|a Lecture Notes of the Unione Matematica Italiana
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-642-21399-1?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 515.96
|
| 520 |
|
|
|a 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
|