On the Inversion of Bessel Ultrahyperbolic Kernel of Marcel Riesz

Darunee Maneetus and Kamsing Nonlaopon

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We define the Bessel ultrahyperbolic Marcel Riesz operator on the function f by Uαf=RαB*f, where RαB is Bessel ultrahyperbolic kernel of Marcel Riesz, α … ℂ, the symbol * designates as the convolution, and f ∈ 𝒮, 𝒮 is the Schwartz space of functions. Our purpose in this paper is to obtain the operator Eα=Uα-1 such that, if Uα(f) = φ, then Eαφ = f.

Date: 2011
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https://doi.org/10.1155/2011/419157

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:419157

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