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Eigenvalue bounds for Hill's equation

✍ Scribed by Prof. Dr. D. Lortz; Prof. Dr. E. Rebhan; W. Törnig

Book ID: 112143764
Publisher: John Wiley and Sons
Year: 1980
Tongue: English
Weight: 503 KB
Volume: 2
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670020304

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The distribution of the ground state eigenvalue λ 0 (Q) of Hill's operator Q = -d 2 /dx 2 + q(x) on the circle of perimeter 1 is expressed in two different ways in case the potential q is standard white noise. Let WN be the associated white noise measure, and let CBM be the measure for circular Brow