Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product
Copyright policy )Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product
Summary: Let \(H(G_1)\) be the set of all holomorphic functions on the domain \(G_1\). Two domains \(G_1\) and \(G_2\) are called Hadamard-isomorphic if \(H(G_1)\) and \(H(G_2)\) are isomorphic algebras with respect to the Hadamard product. Our main result states that two admissible domains are Hadamard-isomorphic if and only if they are equal.
Hadamard-isomorphic, General theory of commutative topological algebras, isomorphic algebras with respect to the Hadamard product, \(B_ 0\)-algebras, homomorphisms, General properties of functions of one complex variable
Hadamard-isomorphic, General theory of commutative topological algebras, isomorphic algebras with respect to the Hadamard product, \(B_ 0\)-algebras, homomorphisms, General properties of functions of one complex variable
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