Schoenberg's Problem on Positive Definite Functions
| dc.creator | Koldobsky, Alexander | |
| dc.date | 1992-10-19 | |
| dc.date.accessioned | 2026-07-07T09:14:49Z | |
| dc.date.available | 2026-07-07T09:14:49Z | |
| dc.description | If $n \ge 3$, $q>2$ and $β> 0$ then the function $\exp(-(|x_1|^q+|x_2|^q+\dots+|x_n|^q)^{β/q})$\ is not positive definite. This result gives an answer to a question posed by I.J.~Schoenberg in 1938. This text is an authorized English translation of the paper published in Russian in Algebra and Analysis 3(1991), \#3, p.78--85. | |
| dc.identifier | https://arxiv.org/abs/math/9210207 | |
| dc.identifier | http://arxiv.org/abs/math/9210207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152816 | |
| dc.subject | Functional Analysis | |
| dc.title | Schoenberg's Problem on Positive Definite Functions | |
| dc.type | text |