Methoden zur Bestimmung von Reprokernen |
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Authors: | Ulrich Tippenhauer |
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Affiliation: | Fachbereich Mathematik, Universität Kaiserslautern, 675 Kaiserslautern, Bundesrepublik Deutschland |
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Abstract: | Methods to determine reproducing kernels. The explicit representation of continuous linear functionals on a Hilbert space by reprokernels is significant for interpolation and approximation. Starting with the kernels theorem, due to Schwartz, we develop methods to determine reprokernels for the Sobolev spaces W2k(Ω) if Ω R1, and for some subspaces of W2k(Ω) if ΩRn. Then we determine reprokernels for tensor products of Hilbert spaces. In addition to this we consider three types of limits of reprokernels. |
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