Mathematical modelling of socio-economic system

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

“…Estimates (12) and (13). In order to prove (12) for 1 ≤ r < ∞, we need the following estimate based on the estimate (21) and on the coarea formula:…”

“…This framework has proven to be a successful tool for studying and understanding macroeconomic processes in such countries as Norway, Sweden, USA, India, Japan and others, see, e.g., [15,20,21]. In particular, this model has been shown to be well adapted to take into account the changes in the production process caused by scientific and technological progress, see [15].…”

“…Some years later, it was shown in [12] that under some mild conditions, the production function of an industry has at most one micro-founded description in this framework, and this description can be obtained using an explicit formula. This framework has proven to be a successful tool for studying and understanding macroeconomic processes in such countries as Norway, Sweden, USA, India, Japan and others, see, e.g., [15,20,21]. In particular, this model has been shown to be well adapted to take into account the changes in the production process caused by scientific and technological progress, see [15].…”