Harmonic functions and potentials on finite or infinite networks [electronic resource] / Victor Anandam.
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) pote...
Saved in:
| Online Access: |
Full Text (via Springer) |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
©2011.
|
| Series: | Lecture notes of the Unione Matematica Italiana ;
12. |
| Subjects: |
MARC
| LEADER | 00000cam a2200000xa 4500 | ||
|---|---|---|---|
| 001 | b6699679 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 110804s2011 gw ob 001 0 eng d | ||
| 005 | 20240423170929.7 | ||
| 019 | |a 742287846 |a 771363968 |a 771363969 |a 1112604201 | ||
| 020 | |a 9783642213991 |q (electronic bk.) | ||
| 020 | |a 3642213995 |q (electronic bk.) | ||
| 020 | |z 9783642213984 |q (print) | ||
| 024 | 7 | |a 10.1007/978-3-642-21399-1 | |
| 035 | |a (OCoLC)spr745003575 | ||
| 035 | |a (OCoLC)745003575 |z (OCoLC)742287846 |z (OCoLC)771363968 |z (OCoLC)771363969 |z (OCoLC)1112604201 | ||
| 037 | |a spr978-3-642-21399-1 | ||
| 040 | |a GW5XE |b eng |e pn |c GW5XE |d OCLCQ |d MEAUC |d OCLCF |d A7U |d YDXCP |d OCLCQ |d VT2 |d Z5A |d LIP |d ESU |d IOG |d NJR |d CEF |d INT |d U3W |d OCLCQ |d WYU |d YOU |d OCLCQ |d LEAUB |d OCLCQ |d ERF |d WURST |d AJS |d OCLCQ | ||
| 049 | |a GWRE | ||
| 050 | 4 | |a QA405 |b .A53 2011 | |
| 100 | 1 | |a Anandam, Victor. |0 http://id.loc.gov/authorities/names/no2011127994 |1 http://isni.org/isni/000000012266018X. | |
| 245 | 1 | 0 | |a Harmonic functions and potentials on finite or infinite networks |h [electronic resource] / |c Victor Anandam. |
| 260 | |a Berlin ; |a New York : |b Springer, |c ©2011. | ||
| 300 | |a 1 online resource (x, 141 pages) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 347 | |a text file. | ||
| 347 | |b PDF. | ||
| 490 | 1 | |a Lecture notes of the Unione Matematica Italiana ; |v 12. | |
| 504 | |a Includes bibliographical references and index. | ||
| 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. | |
| 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. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Harmonic functions. |0 http://id.loc.gov/authorities/subjects/sh85058943. | |
| 650 | 0 | |a Operator theory. |0 http://id.loc.gov/authorities/subjects/sh85095029. | |
| 650 | 7 | |a Harmonic functions. |2 fast |0 (OCoLC)fst00951500. | |
| 650 | 7 | |a Operator theory. |2 fast |0 (OCoLC)fst01046419. | |
| 776 | 0 | 8 | |i Print version: |z 9783642213984. |
| 830 | 0 | |a Lecture notes of the Unione Matematica Italiana ; |v 12. |0 http://id.loc.gov/authorities/names/no2006133097. | |
| 856 | 4 | 0 | |u https://colorado.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-642-21399-1 |z Full Text (via Springer) |
| 907 | |a .b6699679x |b 04-01-21 |c 08-16-11 | ||
| 998 | |a web |b 03-31-21 |c b |d b |e - |f eng |g gw |h 0 |i 1 | ||
| 907 | |a .b6699679x |b 03-31-21 |c 08-16-11 | ||
| 944 | |a MARS - RDA ENRICHED | ||
| 956 | |b Springer Nature - Springer Mathematics and Statistics eBooks 2011 English International | ||
| 915 | |a - | ||
| 956 | |a Springer e-books | ||
| 956 | |b Springer Nature - Springer Mathematics and Statistics eBooks 2011 English International | ||
| 999 | f | f | |i 3c861d80-7b87-5d5c-ad5d-6097fa7cd57d |s 3b95d895-d064-537b-8c94-e41f1de96ee9 |
| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |e QA405 .A53 2011 |h Library of Congress classification |i Ebooks, Prospector |n 1 |