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Reflectionless Herglotz Functions and Jacobi Matrices

✍ Scribed by Alexei Poltoratski; Christian Remling


Publisher
Springer
Year
2008
Tongue
English
Weight
239 KB
Volume
288
Category
Article
ISSN
0010-3616

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## Abstract By a general argument, it is shown that Herglotz wave functions are dense (with respect to the C^∞^(Ξ©)‐topology) in the space of all solutions to the reduced wave equation in Ξ©. This is used to provide corresponding approximation results in global spaces (eg. in L2‐Sobolev‐spaces __H__^

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