The functional analysis of the X-ray transform on trees
type: Item
instance of: scholarly article
title: The functional analysis of the X-ray transform on trees
zbMATH Open document ID: 0782.46025
author: Joel M. Cohen
author: Flavia Colonna
published in: Advances in Applied Mathematics
publication date: 1993-07-21T00:00:00Z
review text: The \(X\)-ray transform plays an important role in the integral geometry of trees. It transforms functions on the vertices into functions on the geodesics. This paper constructs and analyzes subsets of these function spaces which have a Banach space structure and on which the \(X\)-ray transform acts as an isometry.
Mathematics Subject Classification ID: 46B99
Mathematics Subject Classification ID: 46B10
zbMATH DE Number: 203280
zbMATH Keywords: \(X\)-ray transform
zbMATH Keywords: integral geometry of trees
zbMATH Keywords: isometry
reviewed by: Joe Howard
MaRDI profile type: Publication
full work available at URL: aama.1993.1007
OpenAlex ID: W1993487991
DOI: 10.1006/AAMA.1993.1007
Recommended article: Q4695100
Recommended article: Range of the X-ray transform on trees
Recommended article: Erratum: Range of the \(X\)-ray transform on trees
Recommended article: Q4879130
Recommended article: X-ray transform on Sobolev spaces
Recommended article: Q3743818
Recommended article: The distribution-valued horocyclic Radon transform on trees
Recommended article: Q4356140
Recommended article: Characterization of the range of the Radon transform on homogeneous trees
Recommended article: The horocyclic Radon transform on non-homogeneous trees
description: scientific article; zbMATH DE number 203280