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On two Tauberian remainder theorems [PDF]
Pacific Journal of Mathematics, 1962 openaire +2 more sources
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The Annals of Mathematics, 1932
Nachdem N. Wiener in einer früheren Abhandlung [J. Math. Phys., Mass. Inst. Technol. 8, 161--184 (1928; JFM 54.0241.01)] die Theorie der Fourierschen Transformierten in den Problemkreis der Mittelungsumkehrsätze (Tauberian theorems) eingeführt hatte, wird hier der gleiche Gegenstand ausführlicher und auf einer breiteren Basis erneut behandelt.
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Nachdem N. Wiener in einer früheren Abhandlung [J. Math. Phys., Mass. Inst. Technol. 8, 161--184 (1928; JFM 54.0241.01)] die Theorie der Fourierschen Transformierten in den Problemkreis der Mittelungsumkehrsätze (Tauberian theorems) eingeführt hatte, wird hier der gleiche Gegenstand ausführlicher und auf einer breiteren Basis erneut behandelt.
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1994
Abstract This chapter concentrates on the more delicate Tauberian theorems for Borel-type methods.
Bruce Shawyer, Bruce Watson
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Abstract This chapter concentrates on the more delicate Tauberian theorems for Borel-type methods.
Bruce Shawyer, Bruce Watson
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Mathematical Notes of the Academy of Sciences of the USSR, 1974
A lemma is formulated on the asymptotic behavior of functions of class “R”; this lemma is then used for strengthening a well-known Tauberian theorem of Keldysh type for a two-sided Stieltjes transform.
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A lemma is formulated on the asymptotic behavior of functions of class “R”; this lemma is then used for strengthening a well-known Tauberian theorem of Keldysh type for a two-sided Stieltjes transform.
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A Generalized Tauberian Theorem
Canadian Journal of Mathematics, 1958Let {s(n)} be a real sequence and let x be any number in the interval 0 < x ⩽ 1. Representing x by a non-terminating binary decimal expansion we shall denote by {s(n,x)} the subsequence of {s(n)} obtained by omitting s(k) if and only if there is a 0 in the decimal place in the expansion of x. With this correspondence it is then possible to speak of “
Keogh, F. R., Petersen, G. M.
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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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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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The Simplest Tauberian Theorem
Mathematical Notes, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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