Strong radiation condition bounds

2022/05/27 by K. Ito, E. Skibsted, Ito, K. +1
Mathematics · #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2205.14049

openalex publication_date 2022/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct solutions to the eikonal equation for a class of long-range potentials, derive strong radiation condition bounds for the corresponding Schrödinger operator and apply them to construct the generalized Fourier transform, diagonalizing the continuous part the operator.

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