On the injectivity of the generalized Radon transform arising in a model of mathematical economics. (24th October 2016)

• Record Type: Journal Article
• Authors: Agaltsov, A D
• Is Part Of: Inverse problems. Volume 32:Number 11(2016:Nov.)
• Publication Date: 2016-10-24
• Subjects: generalized Radon transform -- production theory -- uniqueness theorem; 35R30 (inverse problems) -- 44A12 (Radon transform) -- 46N10 (applications of functional analysis in economics); Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/32/11/115022
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: In the present article we consider the uniqueness problem for the generalized Radon transform arising in a mathematical model of production. We prove uniqueness theorems for this transform and for the profit function in the corresponding model of production. Our approach is based on the multidimensional Wiener's approximation theorems.