On the Convolution Equation Related to the Diamond Klein-Gordon Operator

Amphon Liangprom, Kamsing Nonlaopon

Type: Article

Publication Date: 2011-01-01

Citations: 11

DOI: https://doi.org/10.1155/2011/908491

Abstract

We study the distribution for m ≥ 0, where is the diamond Klein‐Gordon operator iterated k times, δ is the Dirac delta distribution, x = ( x 1 , x 2 … , x n ) is a variable in ℝ n , and α = ( α 1 , α 2 , …, α n ) is a constant. In particular, we study the application of for solving the solution of some convolution equation. We find that the types of solution of such convolution equation, such as the ordinary function and the singular distribution, depend on the relationship between k and M .

Locations

DOAJ (DOAJ: Directory of Open Access Journals) - View
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