A Course in Analysis
DOI10.1142/10548zbMath1381.28002OpenAlexW2609892337MaRDI QIDQ5357890
Kristian P. Evans, Niels Jacob
Publication date: 18 September 2017
Full work available at URL: https://doi.org/10.1142/10548
weak convergenceelliptic functionsCarathéodory's theoremDirichlet series\(\zeta\)-functionelliptic integralsline integralscomplex differential equationsresidue theoremHausdorff measuresRadon-Nikodym theoremcomplex-valued functionsRiemann mapping theoremLusin's theoremcomplex differentiationcomplex integrationpower series in several variablesmeasurable mappingspre-measures\(\Gamma\)-functionKolmogorov-Riesz theoremtransformation theorem\(\sigma\)-fields and measuresCauchy integral statementsconvolutions of functions and measuresintegration on product spacesLebesgue-Borel measureLebesque integrationpower series, holomorphy
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration (28-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01) Classical measure theory (28Axx) Entire and meromorphic functions of one complex variable, and related topics (30Dxx)
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