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020 _a9783030508050
_9978-3-030-50805-0
024 7 _a10.1007/978-3-030-50805-0
_2doi
050 4 _aQA331-355
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.9
_223
100 1 _aNtalampekos, Dimitrios.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPotential Theory on Sierpiński Carpets
_h[electronic resource] :
_bWith Applications to Uniformization /
_cby Dimitrios Ntalampekos.
250 _a1st ed. 2020.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2020.
300 _aX, 186 p. 10 illus., 4 illus. in color.
_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 ;
_v2268
520 _aThis self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpiński carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs.
650 0 _aFunctions of complex variables.
650 0 _aPotential theory (Mathematics).
650 0 _aFunctional analysis.
650 0 _aMeasure theory.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 1 4 _aFunctions of a Complex Variable.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12074
650 2 4 _aPotential Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12163
650 2 4 _aFunctional Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
650 2 4 _aMeasure and Integration.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12120
650 2 4 _aAnalysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030508043
776 0 8 _iPrinted edition:
_z9783030508067
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2268
856 4 0 _uhttps://doi.org/10.1007/978-3-030-50805-0
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-LNM
999 _c461362
_d461362