Relations of k-th derivative of dirac delta in hypercone with ultrahyperbolic operator | Zendy

Manuel A. Aguirre T. | Zendy

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Relations of k-th derivative of dirac delta in hypercone with ultrahyperbolic operator

Author(s) -

Manuel A. Aguirre T.

Publication year - 1999

Publication title -

revista de matemática teoría y aplicaciones

Language(s) - English

Resource type - Journals

eISSN - 2215-3373

pISSN - 1409-2433

DOI - 10.15517/rmta.v6i2.170

Subject(s) - iterated function , operator (biology) , mathematics , derivative (finance) , vertex (graph theory) , dirac operator , mathematical physics , combinatorics , delta , physics , pure mathematics , mathematical analysis , chemistry , graph , financial economics , economics , gene , astronomy , biochemistry , repressor , transcription factor

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 Keywords: distributions, generalized functions, distributions spaces, properties of distributions.

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