## Removable singularity sets for analytic functions having modulus with bounded Laplace mass

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- by Urban Cegrell PDF
- Proc. Amer. Math. Soc.
**88**(1983), 283-286 Request permission

## Abstract:

We prove that certain closed sets are removable singularity sets for analytic functions having modulus with bounded Laplace mass. As a special case, we find that every function which is analytic and with modulus having a harmonic majorant outside an analytic set extends analytically across this set.## References

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## Additional Information

- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**88**(1983), 283-286 - MSC: Primary 32D20; Secondary 31C10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0695259-X
- MathSciNet review: 695259