Abstract
We use Rellich’s embedding theorem to show that every L2 function on anoperator open Ω ⊂ ℝd can be expanded in terms of eigenfunctions of the Laplace operator on Ω.
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© 2003 Springer-Verlag Berlin Heidelberg
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Jost, J. (2003). The Eigenvalue Problem for the Laplace Operator. In: Postmodern Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05306-5_26
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DOI: https://doi.org/10.1007/978-3-662-05306-5_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43873-1
Online ISBN: 978-3-662-05306-5
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