Inverse-closed Carleman algebras of infinitely differentiable functions
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- by Jamil A. Siddiqi PDF
- Proc. Amer. Math. Soc. 109 (1990), 357-367 Request permission
Abstract:
We characterize the classes ${\mathcal {C}_M}(I)$ and $\mathcal {C}_M^ * (I)$ of infinitely differentiable functions which are inverse-closed thereby giving a complete solution to a problem first posed by W. Rudin [11] and solved by him and J. Boman and L. Hörmander [2] for classes ${\mathcal {C}_M}({\mathbf {R}})$ alone.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 357-367
- MSC: Primary 46J15; Secondary 30D60, 46E25
- DOI: https://doi.org/10.1090/S0002-9939-1990-1007512-4
- MathSciNet review: 1007512