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001 978-3-540-36447-4
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008 121227s1971 gw | s |||| 0|eng d
020 _a9783540364474
_9978-3-540-36447-4
024 7 _a10.1007/BFb0060353
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
082 0 4 _a510
_223
100 1 _aBrelot, Marcel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aOn Topologies and Boundaries in Potential Theory
_h[electronic resource] :
_bEnlarged edition of a course of lectures delivered in 1966 /
_cby Marcel Brelot.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1971.
300 _aVIII, 180 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v175
505 0 _aGeneral notions of thinness and fine topology -- Notion of reduced function. Applications. Strong thinness and strong unthinness -- General results on fine limits -- Quasi-topological notions -- Weak thinness -- Notions in classical potential theory -- Classical fine topology-general properties -- Applications to balayage, weights and capacities -- Further study of classical thinness. Some applications -- Relations with the Choquet boundary -- Extension to axiomatic theories of harmonic functions -- Abstract minimal thinness, minimal boundary, minimal fine topology -- General compactification of constantinescu-cornea first examples of application -- Classical martin space the martin integral representation -- Classical martin space and minimal thinness -- Classical martin boundary dirichlet problem and boundary behaviour -- Comparison of both thinnesses. Fine limits and non-tangential limits. (Classical case. Examples) -- Martin space and minimal thinness in axiomatic theories — short survey.
650 0 _aMathematics.
650 1 4 _aMathematics, general.
_0http://scigraph.springernature.com/things/product-market-codes/M00009
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662185506
776 0 8 _iPrinted edition:
_z9783540053279
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v175
856 4 0 _uhttps://doi.org/10.1007/BFb0060353
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
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