Connection formulae for spectral functions associated with singular Sturm–Liouville equations
2000 ◽
Vol 130
(1)
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pp. 25-34
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Keyword(s):
We consider the Sturm–Liouville equation with the initial condition and suppose that Weyl's limit-point case holds at infinity. Let ρα(μ) be the corresponding spectral function and its symmetric derivative. We show that for almost all μ ∈ R, if exists and is positive for some α ∈ [0, π), then (i) exists and is positive for all β ∈ [0, π), and (ii) for all α1, α2 ∈ (0, π) \ {½ π},
2004 ◽
Vol 134
(1)
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pp. 215-223
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Keyword(s):
2002 ◽
Vol 132
(2)
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pp. 387-393
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Keyword(s):
1986 ◽
Vol 103
(3-4)
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pp. 215-228
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Keyword(s):
2005 ◽
Vol 86
(3)
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pp. 237-248
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2012 ◽
Vol 205
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pp. 67-118
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Keyword(s):
Keyword(s):
2014 ◽
Vol 58
(1)
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pp. 125-147
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2019 ◽
Vol 43
(5)
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pp. 2548-2557
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