On Montel and Montel-Popoviciu theorems in several variables
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| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0329-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0329-8 | ||
| 245 | 0 | 0 | |a On Montel and Montel-Popoviciu theorems in several variables |h [Elektronische Daten] |c [A. Aksoy, J. Almira] |
| 520 | 3 | |a We present an elementary proof of a general version of Montel's theorem in several variables which is based on the use of tensor product polynomial interpolation. We also prove a Montel-Popoviciu type theorem for functions $${f:\mathbb{R}^d \to \mathbb{R}}$$ f : R d → R for d>1. Furthermore, our proof of this result is also valid for the case d=1, differing in several points from Popoviciu's original proof. Finally, we demonstrate that our results are optimal. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Montel's theorem |2 nationallicence | |
| 690 | 7 | |a Montel-Popoviciu's theorem |2 nationallicence | |
| 690 | 7 | |a Difference operators |2 nationallicence | |
| 690 | 7 | |a Polynomial functions |2 nationallicence | |
| 690 | 7 | |a Fréchet's functional equation |2 nationallicence | |
| 690 | 7 | |a Regularity |2 nationallicence | |
| 690 | 7 | |a Polynomial interpolation |2 nationallicence | |
| 700 | 1 | |a Aksoy |D A. |u Department of Mathematics, Claremont McKenna College, 91711, Claremont, CA, USA |4 aut | |
| 700 | 1 | |a Almira |D J. |u Departamento de Matemáticas, E.P.S. Linares, Universidad de Jaén, C/ Alfonso X el Sabio, 28, 23700, Linares (Jaén), Spain |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/5(2015-10-01), 1335-1357 |x 0001-9054 |q 89:5<1335 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0329-8 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0329-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Aksoy |D A. |u Department of Mathematics, Claremont McKenna College, 91711, Claremont, CA, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Almira |D J. |u Departamento de Matemáticas, E.P.S. Linares, Universidad de Jaén, C/ Alfonso X el Sabio, 28, 23700, Linares (Jaén), Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/5(2015-10-01), 1335-1357 |x 0001-9054 |q 89:5<1335 |1 2015 |2 89 |o 10 | ||