SEPARATELY-ANALYTIC FUNCTION WITH SINGULARITIES SET OF POSITIVE LEBESGUE MEASURE

Alimardon Abdirimovich Atamuratov, K K Rasulov

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2022-yil

Annotatsiya

In this work Shimoda’s theorem on separately-analytic functions is discussed and there is constructed an example of separately-analytic function with singularities set of positive Lebesgue measure. Proved that, separately-analytic functions satisfying Shimoda’s theorem on can be represented by Hartogs’ series with holomorphic coefficients out of some nowhere dense compact subset of .

Maqola ma’lumotlari
MualliflarAlimardon Abdirimovich Atamuratov, K K Rasulov
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
Nashr sanasi2022-06-25
Jild5
Son135/1
Betlar1-9
Tilen
DOI10.59251/2181-1296.v5.1351.1100

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