Division by a holomorphic matrix in strictly pseudoconvex Domains
Copyright policy )Division by a holomorphic matrix in strictly pseudoconvex Domains
Let \(D\) be a bounded strictly pseudoconvex domain in \(\mathbb{C}^ n\) with \(C^ 2\)-boundary. The author proofs a matrix analogue of the known division theorem of Ovrelid [\textit{N. Ovrelid}, Generators of the maximal ideals of \(A(D)\), Pac. J. Math. 39, 219-223 (1971; Zbl 0231.46090)] for the algebra \(A(D)\) of the holomorphic functions in \(D\) and continuous in \(\overline D\). By the end he gives some results and problems in this area to other function algebras.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- Jagiellonian University Poland
Holomorphic functions of several complex variables, division theorem, Pseudoconvex domains, strictly pseudoconvex domain, holomorphic matrix, Algebras of holomorphic functions of several complex variables
Holomorphic functions of several complex variables, division theorem, Pseudoconvex domains, strictly pseudoconvex domain, holomorphic matrix, Algebras of holomorphic functions of several complex variables
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