On the Inverse Ultrahyperbolic Klein-Gordon Kernel

Kamsing Nonlaopon
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Kamsing Nonlaopon: Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2019, vol. 7, issue 6, 1-11

Abstract: In this work, we define the ultrahyperbolic Klein-Gordon operator of order α on the function f by T α ( f ) = W α ∗ f , where α ∈ C , W α is the ultrahyperbolic Klein-Gordon kernel, the symbol ∗ denotes the convolution, and f ∈ S , S is the Schwartz space of functions. Our purpose of this work is to study the convolution of W α and obtain the operator L α = T α − 1 such that if T α ( f ) = φ , then L α φ = f .

Keywords: ultrahyperbolic Klein-Gordon operator; ultrahyperbolic Klein-Gordon kernel; ultrahyperbolic kernel of Marcel Riesz; ultrahyperbolic operator; Dirac delta function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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