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Titlebook: Complex Analysis, Operators, and Related Topics; The S. A. Vinogradov Victor P. Havin,Nikolai K. Nikolski Conference proceedings 2000 Sprin

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楼主: exposulate
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Free Interpolation in Spaces of Analytic Functionstion defined on an infinite part Λ of a domain . ⊂ ℂ and taken at random cannot be interpolated, as a rule, by a function analytic in. (. ∈ .(.), for short). In other words, denoting by .. the operator of restriction to Λ, we may assert that ..(.(.)) is, as a rule, a very special subset of.(Λ), the
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On Embedding Theorems for Coinvariant Subspaces of the Shift Operator. I in the open unit disk . with 0 < . ≤ +∞. In connection with the Hardy spaces, the backward shift operator, and related questions, we refer to [13] and [15]. Every function . ∈ .. has finite angular boundary values almost everywhere on the unit circle .. Denote by .(ζ) the angular boundary value of
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Interpolation Involving Bounded Bianalytic Functionserpolation precisely as their parent lattices. Some applications to free interpolation by Fourier coefficients of bounded bianalytic functions are considered. (Note different meanings of the word “interpolation”.)
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Interpolation Sets for the Hölder Spaces of Functions Analytic in a Strip set we mean a set such that any Hölder function on this set is the trace of some function belonging to the analytic Hölder class in the strip. A set is an interpolation set if and only if its inner part is sparse and in every boundary interval (of length less then 1) there is a “big” subinterval fr
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