On the Convolution and Inversion of Diamond Klein Gordon Kernel

Sattaso, Supaknaree; Nonlaopon, Kamsing

doi:10.12732/ijpam.v83i2.12

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2019

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“…In 2013, Sattaso and Nonlaopon [26] defined the diamond Klein-Gordon operator of order α on the function f by…”

Section: Introductionmentioning

confidence: 99%

On the Inverse Ultrahyperbolic Klein-Gordon Kernel

Nonlaopon

2019

Mathematics

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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 .

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“…In 2013, Sattaso and Nonlaopon [26] defined the diamond Klein-Gordon operator of order α on the function f by…”

Section: Introductionmentioning

confidence: 99%