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- W2068082015 abstract "In this paper we prove a more general case of Luxemburg's asymptotic problem concerning the Laplace transform: The problem deals with the conservation of a certain asymptotic behavior of a function at infinity, under analytic transformation of its Laplace transform. The theory of commutative Banach algebras tells us that the problem is equivalent to a family of special cases of the original problem, viz. a set of convolution integral equations, parametrized by a complex variable λ. For ∥ λ ∥ large enough, we may use Luxemburg's original result, and for other λ we modify the integral equations, and apply a modification of Luxemburg's result." @default.
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- W2068082015 date "1981-01-01" @default.
- W2068082015 modified "2023-09-26" @default.
- W2068082015 title "On a generalization of W.A.J. Luxemburg's asymptotic problem concerning the Laplace transform" @default.
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- W2068082015 doi "https://doi.org/10.1016/1385-7258(81)90037-8" @default.
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