Results 181 to 190 of about 610,583 (235)

Tauberian Theorems

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.
openaire   +2 more sources

Tauberian theorems − II

1994
Abstract This chapter concentrates on the more delicate Tauberian theorems for Borel-type methods.
Bruce Shawyer, Bruce Watson
openaire   +1 more source

Tauberian theorems for the Stockwell transform of Lizorkin distributions

Applicable Analysis, 2018
We prove the continuity of the Stockwell transform and the corresponding synthesis operator on the spaces of highly localized test functions over and , respectively.
K. Saneva, S. Atanasova, J. V. Buralieva
semanticscholar   +1 more source

A tauberian theorem

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.
openaire   +2 more sources

A Generalized Tauberian Theorem

Canadian Journal of Mathematics, 1958
Let {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.
openaire   +2 more sources

General Tauberian theorems for the Cesàro integrability of functions

, 2019
For a locally integrable function f on [ 0 , ∞ ) {[0,\infty)} , we define F ⁢ ( t ) = ∫ 0 t f ⁢ ( u ) ⁢ d ⁢ u   and   σ α ⁢ ( t ) = ∫ 0 t ( 1 - u t ) α ⁢ f ⁢ ( u ) ⁢ d ⁢ u F(t)=\int_{0}^{t}f(u)\mathop{}\!du\quad\text{and}\quad\sigma_{\alpha}(t)=\int_% {0}
Ü. Totur, Ibrahim Çanak
semanticscholar   +1 more source

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
openaire   +1 more source

Tauberian theorems concerning weighted mean summable integrals

Periodica Mathematica Hungarica, 2023
Sefa Anil Sezer, Ibrahim Çanak
semanticscholar   +1 more source

The Simplest Tauberian Theorem

Mathematical Notes, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Tauberian Theorems with Remainder

Journal of the London Mathematical Society, 1985
Suppose f and g are nondecreasing functions with finite Laplace transforms \(\hat f\) and \(\hat g\). In the paper we discuss conditions under which as \(x\to \infty\), \(\hat f(\frac{1}{x})-\hat g(\frac{1}{x})=0(a(x))\) implies \(f(x)-g(x)=O(b(x))\) for certain classes of functions g(x),a(x) and b(x), thereby extending a result of \textit{A. E. Ingham}
openaire   +2 more sources