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Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization from Part I - The Sobolev Space Setting
Published online by Cambridge University Press: 10 October 2019
This chapter introduces the Sobolev spaces and self-adjointellipticoperators on those spaces that will be used through the book. It also introduces basic concepts and tools such as Gelfand triples, the Sobolev embedding theorem, the equivalence between energy norm and the Sobolev space norm, the dual norm, the Green's function, and eigenfunctions.
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