This is a survey of one part of the area of interaction between complex analysis and functional analysis. The space of bounded analytic functions on an open set is considered under numerous topologies, unified by the ...
详细信息
Abstract: A general formula is developed which gives the "best" approximation for any linear functional on the Hardy space ${H^2}$. Some "best" approximations are given for interpolation, d...
详细信息
Abstract: A general formula is developed which gives the "best" approximation for any linear functional on the Hardy space ${H^2}$. Some "best" approximations are given for interpolation, differentiation, and integration and are compared to polynomial approximations.
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