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Holomorphically Finitely Generated Algebras: New Examples and Counterexamples

Student: Nazarov Boris

Supervisor: Alexei Yu. Pirkovskii

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Bachelor)

Final Grade: 10

Year of Graduation: 2017

In this paper we consider new examples and counterexamples of holomorphically finitely generated algebras. In particular we prove that algebra of holomorphic functions on Free Ball is not nuclear. This implies that it is not holomorphically finitely generated.

Full text (added June 9, 2017)

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