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摘要
In this paper we consider the problem of analytic continuation of analytic function on a strip domain, where the data are given only on the real axis. This is an ill-posed problem. The occurrence of its ill-posedness is intrinsically due to the high-frequency perturbation of data. However, Meyer wavelet has compact support in the frequency space. By expanding the data and the solution in a basis of Meyer wavelets, high-frequency components can be filtered away, and the Holder-type stability estimates for both a priori and a posteriori choice rules are obtained. Numerical illustrations show that the method works effectively.
- 出版日期2015-5-4
- 单位西安电子科技大学
