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Epsilon-entropy and epsilon-capacity in the theory of ill-posed problems
journal contributionposted on 2023-06-08, 18:28 authored by Enrico ScalasEnrico Scalas, G A Viano
We 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.
PublisherInstitute of Physics
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- Mathematics Publications
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