Multidimensional Boundary Morera Theorems in Matrix Domains

Multidimensional Boundary Morera Theorems in Matrix Domains

This survey considers continuous functions defined on the boundary of a bounded domain D in C n , n > 1, and possessing the Morera boundary property. We study the question of the existence of a holomorphic extension of such functions into the domain D for some sufficient sets Γ of complex lines.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.284 (2), p.216-223
1. Verfasser: Khudayberganov, G.
Format: Artikel
Sprache:eng
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Mathematics
Mathematics and Statistics
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Zusammenfassung:This survey considers continuous functions defined on the boundary of a bounded domain D in C n , n > 1, and possessing the Morera boundary property. We study the question of the existence of a holomorphic extension of such functions into the domain D for some sufficient sets Γ of complex lines.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07344-1