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This document presents an elementary proof of the Briançon-Skoda theorem, which establishes a criterion for the membership of a function in an ideal of the ring of germs of holomorphic functions. The proof relies on an L1-estimate and shows that if a function associated with the ideal is locally square integrable, then the function belongs to the ideal. The document also discusses related theorems and previous proofs, emphasizing the simplicity of the presented approach.
- Author
- Jacob Sznajdman
- Language
- EN