%0 Journal Article %1 noauthororeditor %A |, Bayrambay Otemuratov %D 2023 %J CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES %K analysis, complex dimensional extension, functions, holomorphic integrable logarithmic residue, theorem %N 7 %P 17-26 %T A MULTIDIMENSIONAL BOUNDARY ANALOGUE OF HARTOGS’S THEOREM FOR INTEGRABLE FUNCTIONS ON n-CIRCULAR DOMAINS %U https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/478/541 %V 4 %X In the present paper we consider integrable functions given on the boundary of n-circular domain D⊂C^n, n>1 and having one-dimensional property of holomorphic extension along the families of complex lines, passing through finite number of points of D. We prove the existence of holomorphic extension of such functions in D.

@article{noauthororeditor, abstract = {In the present paper we consider integrable functions given on the boundary of n-circular domain D⊂C^n, n>1 and having one-dimensional property of holomorphic extension along the families of complex lines, passing through finite number of points of D. We prove the existence of holomorphic extension of such functions in D.}, added-at = {2024-02-26T10:39:41.000+0100}, author = {|, Bayrambay Otemuratov}, biburl = {https://www.bibsonomy.org/bibtex/27b8c2f3a4eb371bb2e9633d5df7f16fa/centralasian_20}, interhash = {7527f25741b9acbcec20fa5b16e06cfc}, intrahash = {7b8c2f3a4eb371bb2e9633d5df7f16fa}, issn = {2660-5309}, journal = {CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES}, keywords = {analysis, complex dimensional extension, functions, holomorphic integrable logarithmic residue, theorem}, language = {english}, month = {July}, number = 7, pages = {17-26}, timestamp = {2024-02-26T10:39:41.000+0100}, title = {A MULTIDIMENSIONAL BOUNDARY ANALOGUE OF HARTOGS’S THEOREM FOR INTEGRABLE FUNCTIONS ON n-CIRCULAR DOMAINS}, url = {https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/478/541}, volume = 4, year = 2023 }