On the injectivity of the generalized Radon transform arising in a model of mathematical economics

TL;DR

This paper investigates the uniqueness of a generalized Radon transform in a mathematical economics model, establishing theorems that ensure the transform and profit functions are uniquely determined, using multidimensional Wiener's approximation theorems.

Contribution

It provides new uniqueness theorems for the generalized Radon transform and profit functions in economic models, employing advanced harmonic analysis techniques.

Findings

Proved uniqueness theorems for the generalized Radon transform

Established conditions for the unique determination of profit functions

Applied multidimensional Wiener's approximation theorems in this context

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.