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arxiv: 1712.01366 · v1 · pith:Z3F4WXECnew · submitted 2017-12-04 · 🧮 math.AP

Resolvent Estimates for the 3D Schr\"odinger Operator with Inverse-Square Potential

classification 🧮 math.AP
keywords estimatesoperatorinverse-squareodingerpotentialschradaptbetter
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We consider the unitary group for the Schr\"odinger operator with inverse-square potential. We adapt Combes-Thomas estimates to show that, when restricted to non-radial functions, the operator enjoys much better estimates that mirror those of the Laplacian.

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