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
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2022-06-25
Jild5
Son135/1
Betlar1-9
TilIngliz
DOI10.59251/2181-1296.v5.1351.1100
Indeksga qo‘shilgan2026-09-02

DOI: 10.59251/2181-1296.v5.1351.1100 · Maqolaning asl sahifasi · PDF

Iqtibos keltirish

APAAlimardon Abdirimovich Atamuratov, & K K Rasulov (2022). SEPARATELY-ANALYTIC FUNCTION WITH SINGULARITIES SET OF POSITIVE LEBESGUE MEASURE. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(135/1), 1-9. https://doi.org/10.59251/2181-1296.v5.1351.1100
GOST (OAK)Alimardon Abdirimovich Atamuratov, K K Rasulov SEPARATELY-ANALYTIC FUNCTION WITH SINGULARITIES SET OF POSITIVE LEBESGUE MEASURE // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2022. – T. 5, № 135/1. – P. 1-9. – DOI: 10.59251/2181-1296.v5.1351.1100.
MLAAlimardon Abdirimovich Atamuratov, and K K Rasulov. “SEPARATELY-ANALYTIC FUNCTION WITH SINGULARITIES SET OF POSITIVE LEBESGUE MEASURE.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(135/1), 1-9, 2022. https://doi.org/10.59251/2181-1296.v5.1351.1100
ChicagoAlimardon Abdirimovich Atamuratov, and K K Rasulov. “SEPARATELY-ANALYTIC FUNCTION WITH SINGULARITIES SET OF POSITIVE LEBESGUE MEASURE.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(135/1), 1-9 (2022). https://doi.org/10.59251/2181-1296.v5.1351.1100
HarvardAlimardon Abdirimovich Atamuratov, and K K Rasulov (2022) ‘SEPARATELY-ANALYTIC FUNCTION WITH SINGULARITIES SET OF POSITIVE LEBESGUE MEASURE’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(135/1), 1-9. https://doi.org/10.59251/2181-1296.v5.1351.1100
BibTeX
@article{alimardonabdirimovichatamuratov2022,
  title = {SEPARATELY-ANALYTIC FUNCTION WITH SINGULARITIES SET OF POSITIVE LEBESGUE MEASURE},
  author = {Alimardon Abdirimovich Atamuratov and K K Rasulov},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2022},
  volume = {5},
  number = {135/1},
  pages = {1-9},
  doi = {10.59251/2181-1296.v5.1351.1100},
  url = {https://doi.org/10.59251/2181-1296.v5.1351.1100}
}

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