The problem of continuation with least coanalytic deviation
The problem of continuing a function from the unit circle to the unit disk so that the continuation has the least deviation from the Sobolev subspace of analytic functions is considered. A mathematical model of this problem is constructed. It is proved that the problem is well-posed.
Key wordscontinuation of functions in the complex plane analytic function Sobolev space harmonic continuation complex Fourier series coanalytic deviation
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