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Survey of Results on the Schrodinger Operator with Inverse Square Potential
In this paper we present a survey of results on the Schrodinger operator with Inverse Β¨ Square potential, La= ββ + a/|x|^2 , a β₯ β( dβ2/2 )^2. We briefly discuss the long-time behavior of solutions to the inter-critical focusing NLS with an inverse square potential(proof not provided). Later we present spectral multiplier theorems for the operator. For the case when a β₯ 0, we present the multiplier theorem from Hebisch [12]. The case when 0 \u3e a β₯ β( dβ2/2 )^2 was explored in [1], and their proof will be presented for completeness. No improvements on the sharpness of their proof as been obtained