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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 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.

History

Publication status

  • Published

Journal

Inverse Problems

ISSN

0266-5611

Publisher

Institute of Physics

Issue

5

Volume

9

Page range

545-550

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2014-10-03

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