Mellin inversion theorem

Mellin inversion theorem In mathematics, the Mellin inversion formula (named after Hjalmar Mellin) tells us conditions under which the inverse Mellin transform, or equivalently the inverse two-sided Laplace transform, are defined and recover the transformed function.

Contents 1 Method 2 Boundedness condition 3 See also 4 References 5 External links Method If {displaystyle varphi (s)} is analytic in the strip {displaystyle a1} , then if {displaystyle f(x)} is in {displaystyle L_{nu ,p}(R^{+})} with {displaystyle 1

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