Artículo
Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals
Autor/es | Bernal González, Luis
Calderón Moreno, María del Carmen Jung, Andreas |
Departamento | Universidad de Sevilla. Departamento de Análisis matemático |
Fecha de publicación | 2021-12-16 |
Fecha de depósito | 2022-03-18 |
Publicado en |
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Resumen | In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero functions are non-integrable but yet their two iterated integrals exist as real numbers and coincide. ... In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero functions are non-integrable but yet their two iterated integrals exist as real numbers and coincide. Moreover, it is shown that this vector space is dense in the space of all real continuous functions on the plane endowed with the compact-open topology. |
Cita | Bernal González, L., Calderón Moreno, M.d.C. y Jung, A. (2021). Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals. Results in Mathematics, 77 (1), 30-1-30-12. |
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Real-AnalyticNon-IntegrableFun.pdf | 328.4Kb | [PDF] | Ver/ | |