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Laplace Transforms and Generalized Laguerre Polynomials
Published online by Cambridge University Press: 20 November 2018
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Various sets of necessary and sufficient conditions are known in order that a function ƒ(s), analytic for Re s > 0, be represented as the Laplace transform of a function in Lp(0,∞), 1 < p ⩽ ∞ . Most of these theories are based on the properties of some inversion operator for the transformation— see, for example, (7, chap. 7). However in the case p = 2 a number of representation theorems of a much simpler type are available.
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- Copyright © Canadian Mathematical Society 1958
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