LEADER 02630nam 2200613 450 001 996466589903316 005 20220629195923.0 010 $a3-540-48798-0 024 7 $a10.1007/BFb0073995 035 $a(CKB)1000000000437190 035 $a(SSID)ssj0000325776 035 $a(PQKBManifestationID)12124452 035 $a(PQKBTitleCode)TC0000325776 035 $a(PQKBWorkID)10253537 035 $a(PQKB)10805528 035 $a(DE-He213)978-3-540-48798-2 035 $a(MiAaPQ)EBC5578338 035 $a(Au-PeEL)EBL5578338 035 $a(OCoLC)1066179387 035 $a(MiAaPQ)EBC6743042 035 $a(Au-PeEL)EBL6743042 035 $a(OCoLC)793079374 035 $a(PPN)155187341 035 $a(EXLCZ)991000000000437190 100 $a20220629d1994 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aPotential theory on infinite networks /$fPaolo M. Soardi 205 $a1st ed. 1994. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1994] 210 4$dİ1994 215 $a1 online resource (VIII, 196 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1590 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-58448-X 327 $aKirchhoff's laws -- Finite networks -- Currents and potentials withfinite energy -- Uniqueness and related topics -- Some examples and computations -- Royden's compactification -- Rough isometries. 330 $aThe aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries. 410 0$aLecture notes in mathematics (Berlin) ;$vVolume 1590. 606 $aPotential theory (Mathematics) 606 $aNetwork analysis (Planning) 615 0$aPotential theory (Mathematics) 615 0$aNetwork analysis (Planning) 676 $a515.7 700 $aSoardi$b Paolo M$g(Paolo Maurizio),$f1946-$028151 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466589903316 996 $aPotential theory on infinite networks$978724 997 $aUNISA