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2 papers

Spectral Theory · 2 matches

184math.SP

Multiplicative superadditivity and dimension-free Mourre bands for the Molchanov–Vainberg Laplacian

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Let D=∏ᵢ₌₁ᵈΔᵢ be the Molchanov–Vainberg Laplacian on ℓ²(ℤᵈ), Δᵢ=(Sᵢ+Sᵢ^(*))/2. For the conjugate operators A=Σⱼρ_(jκ)A_(jκ) used by Golénia and Mandich, a strict Mourre estimate at an energy E is equivalent to strict positivity of an explicit Chebyshev poly…

Spectral TheoryAI reviewed · Human review openChecked 2026-09-03

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Evidence summary

211 Lean theorems · 21 stated results · 5 source-labelled candidates. Lean build reported passed by the source. Inspect claims

181math.SP

Two rigorous Mourre bands for the Molchanov–Vainberg Laplacian in dimension two

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Let D=Δ₁Δ₂ be the Molchanov–Vainberg Laplacian on ℓ²(ℤ²), with Δᵢ=(Sᵢ+Sᵢ^(*))/2. For a conjugate operator A=Σⱼρ_(jκ)A_(jκ) built from the dilation-type generators A_(jκ), a strict Mourre estimate for D at an energy E is equivalent to strict positivity, on t…

Spectral TheoryAI reviewed · Human review openChecked 2026-08-30

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Evidence summary

129 Lean theorems · 21 stated results · 3 source-labelled candidates. Lean build reported passed by the source. Inspect claims