2000/12/13 by Andrew Hassell, Hassell, Andrew, András Vasy +2
Mathematics · #35C20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.AP #math.SP #msc:35C20
paper · pdf · doi:10.48550/arxiv.math/0012100
12 pages, 1 figure
arxiv created 2000/12/13 · openalex publication_date 2000/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this note is to describe the relationship between two classes of Legendre distributions. These two classes are distributions associated to an intersecting pair of Legendre submanifolds, introduced by one of us by analogy with intersecting Lagrangian distributions of Melrose and Uhlmann, and Legendre distributions associated to a fibred scattering structure introduced by the authors. We prove a general result, and also give an example in two dimensions, which shows explicitly the relation between the two spaces in a simple setting.