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Epsilon-entropy and epsilon-capacity in the theory of ill-posed problems
journal contribution
posted on 2023-06-08, 18:28 authored by Enrico Scalas, G A VianoWe show the relationships between: (i) the epsilon -entropy of classes of holomorphic functions and the stability estimate in the analytic continuation; (ii) the epsilon -capacity associated with a class of self-adjoint compact operators and the number of degrees of freedom of the regularized truncated solutions obtained by solving the corresponding integral equations.
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Publication status
- Published
Journal
Inverse ProblemsISSN
0266-5611Publisher
Institute of PhysicsExternal DOI
Issue
5Volume
9Page range
545-550Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-10-03Usage metrics
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