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Measure Characterization involving the Limiting Eigenvalue Distribution for Schrödinger Operators on S 2

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Book cover Recent Progress in Operator Theory and Its Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 220))

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Abstract

Knowing a result called the Limiting Eigenvalue Distribution (LED) on \(S^2\)it is posible to stablish a natural way to define a Baire measure related to the Radon Transform of a potential V on the sphere \(S^2.\)The aim of this work is to give some results and examples of how we can characterize some properties of the potential V in order to determine what kind of Baire Measure we can expect.

Mathematics Subject Classification (2000). Primary 44A12; Secondary 28A99.

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Correspondence to María de los Ángeles Sandoval-Romero .

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de los Ángeles Sandoval-Romero, M. (2012). Measure Characterization involving the Limiting Eigenvalue Distribution for Schrödinger Operators on S 2 . In: Ball, J., Curto, R., Grudsky, S., Helton, J., Quiroga-Barranco, R., Vasilevski, N. (eds) Recent Progress in Operator Theory and Its Applications. Operator Theory: Advances and Applications(), vol 220. Springer, Basel. https://doi.org/10.1007/978-3-0348-0346-5_18

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