Abstract
These notes are an attempt to collect some specific information from approximation and function space theory and to present it in a form understandable for specialists working on large scale computational methods for partial differential equations. Though theoretical results on approximation processes and the use of various types of function spaces are well-recognized as very important in numerical analysis, recent developments in the field of multilevel-multigrid methods as well as the introduction of the wavelet concept have shed new light on the ties between these mathematical disciplines.
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