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Fourier-Stieltjes coefficients and continuation of functions

1984
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Annales Academiae Scientiarum Fennicae Series A I Mathematica
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1. To introduce our subject we recall two classical problems of continuation for certain functions of a complex variable. (CA) Here/is continuous in R2 and analytic outside a closed set E; E is temou' able for this problem if it is always true that/ is entire. (QC) In this problem / is a homeomorphism of the extended plane, which is K-quasiconformal outside E; E is remoaable if /is always quasiconformal in the extended plane. For both problems there is a best-possible theorem. Gehring [5]). Our

doi:10.5186/aasfm.1984.0909
fatcat:q3wzxbzkxzdnjo4jb76pdgcnze