Relations of k-th derivative of dirac delta in hypercone with ultrahyperbolic operator
In this paper we prove that the generalized functions d (k) (P+) - d (k) (P), d (k) (P-)-d (k) (-P) and d 1 (k) (P)-d 2 (k) (P)d are concentrated in the vertex of the cone P=0 and we find their relationship with the ultrahyperbolic operator iterated (k +1 -n/2 ) times under condition k ³ n/2-1.
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| Veröffentlicht in: | Revista de matemática, teoria y aplicaciones teoria y aplicaciones, 2009-02, Vol.6 (2), p.87-96 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper we prove that the generalized functions d (k) (P+) - d (k) (P), d (k) (P-)-d (k) (-P) and d 1 (k) (P)-d 2 (k) (P)d are concentrated in the vertex of the cone P=0 and we find their relationship with the ultrahyperbolic operator iterated (k +1 -n/2 ) times under condition k ³ n/2-1. |
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| ISSN: | 1409-2433 2215-3373 2215-3373 |
| DOI: | 10.15517/rmta.v6i2.170 |