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The mixed regularity of electronic wave functions in fractional order and weighted Sobolev spaces

✍ Scribed by Hans-Christian Kreusler, Harry Yserentant

Book ID
113021546
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
272 KB
Volume
121
Category
Article
ISSN
0029-599X

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On the denseness of Herglotz wave functi
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## Abstract Let __D__βŠ‚β„^3^ be a bounded domain with connected boundary __Ξ΄D__ of class __C__^2^. It is shown that Herglotz wave functions are dense in the space of solutions to the Helmholtz equation with respect to the norm in __H__^1^(__D__) and that the electric fields of electromagnetic Herglot