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A Tauberian Theorem of Exponential Type

Canadian Journal of Mathematics, 1986
1. Introduction. We will be interested in Tauberian theorems concerning the limiting behaviour of a monotone function U and its Laplace transformA famous theorem of Karamata concerns the case in which the function U is regularly varying (i.e., U(tx)/U(t) → xα(t → ∞) for x > 0).
Geluk, J. L.   +2 more
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Tauberian theorems

2000
Abstract In Chapter 2 we dealt mainly with inclusion theorems and with Toeplitz-Silverman-type theorems and, in Chapter 3, with their application to special matrix methods. In contrast to that, in this chapter we turn to Tauberian theorems.
Johann Boos, Peter Cass
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Tauberian theorems

Israel Journal of Mathematics, 1963
Tauberian constants and estimates are calculated for the difference of two linear transforms from the form (1.1) of the same function satisfying Tauberian conditions.
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POSTSCRIPT TO A TAUBERIAN THEOREM

The Quarterly Journal of Mathematics, 1947
Minakshisundaram, S., Rajagopal, C. T.
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A Tauberian Theorem

Journal of the London Mathematical Society, 1949
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On Tauberian Theorems

Proceedings of the London Mathematical Society, 1965
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A Universal Tauberian Theorem

Journal of the London Mathematical Society, 1958
Keogh, F. R., Petersen, G. M.
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TAUBERIAN CLASSES AND TAUBERIAN THEOREMS

The Quarterly Journal of Mathematics, 1964
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REMARKS ON A TAUBERIAN THEOREM

The Quarterly Journal of Mathematics, 1962
Parameswaran, S., Rajagopal, C. T.
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