دورية أكاديمية
Inverse Problems in Models of Resource Distribution
| العنوان: | Inverse Problems in Models of Resource Distribution |
|---|---|
| المؤلفون: | Agaltsov A.D., Molchanov E.G., Shananin A.A. |
| المصدر: | Journal of Geometric Analysis |
| بيانات النشر: | Springer New York LLC |
| سنة النشر: | 2020 |
| المجموعة: | NORA (National aggregator of open repositories of Russian universities) / Национальный агрегатор открытых репозиториев российских университетов |
| مصطلحات موضوعية: | Generalized Radon transform, Integral and discrete geometry, Inverse problems, Mathematical economics, Moment problem, Rhombic tilings |
| الوصف: | We continue to study the problem of modeling of substitution of production factors motivated by the need for computable mathematical models of economics that could be used as a basis in applied developments. This problem has been studied for several decades, and several connections to complex analysis and geometry have been established. We describe several models of resource distribution and discuss the inverse problems for the generalized Radon transform arising in these models. We give a simple explicit range characterization for a particular case of the generalized Radon transform, and we apply it to show that the most popular production functions are compatible with these models. Besides, we give a necessary condition and a sufficient condition for solvability of the model identification problem in the form of an appropriate moment problem. These conditions are formulated in terms of rhombic tilings. © 2017, Mathematica Josephina, Inc. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | https://doi.org/10.1007/s12220-017-9840-1Test; https://openrepository.ru/article?id=258297Test |
| الإتاحة: | https://doi.org/10.1007/s12220-017-9840-1Test https://openrepository.ru/article?id=258297Test |
| حقوق: | open access |
| رقم الانضمام: | edsbas.2AC3A85D |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |