General Tauberian theorems in R... connected with a theorem of Korenblum.
Ingham Tauberian theorem with an estimate for the error term.
Integral transformations and closed form expressions for sums of double infinite series
Inverspositive Operatoren und Taubersätze in der Erneuerungstheorie.
Le théorème taubérien de Wiener et l'équation de la chaleur
Marcinkiewicz multipliers of higher variation and summability of operator-valued Fourier series
Let , where, for 1 ≤ r < ∞, (resp., ) denotes the class of functions (resp., bounded functions) g: → ℂ such that g has bounded r-variation (resp., uniformly bounded r-variations) on (resp., on the dyadic arcs of ). In the author’s recent article [New York J. Math. 17 (2011)] it was shown that if is a super-reflexive space, and E(·): ℝ → () is the spectral decomposition of a trigonometrically well-bounded operator U ∈ (), then over a suitable non-void open interval of r-values, the condition...
Measuring asymptotic convexity
Mercerian and Tauberian Theorems for Differences.
Mercerian Theorems Involving Cesàro Means of Positive Order.
Necessary and sufficient conditions under which convergence follows from summability by weighted means.
Necessary and sufficient Tauberian conditions for the logarithmic summability of functions and sequences
Let s: [1,∞) → ℂ be a locally Lebesgue integrable function. We say that s is summable (L,1) if there exists some A ∈ ℂ such that , where . (*) It is clear that if the ordinary limit s(t) → A exists, then also τ(t) → A as t → ∞. We present sufficient conditions, which are also necessary, in order that the converse implication hold true. As corollaries, we obtain so-called Tauberian theorems which are analogous to those known in the case of summability (C,1). For example, if the function s is slowly...
Negative Resultate über Tauber-Bedingungen.
On a Tauberian theorem for Euler summability.
On a theorem of W. Meyer-König and H. Tietz.
On Conjugate pi-variation and the Coefficients of Power Series
On Multidimensional Generalizations Of Regularly Varying Functions And Tauberian And Abelian Theorems
On Tauberian constants for the summability
On the Laplace Transforms of Logconcave Densities
On the Tauberian constant in the Ikehara theorem
On the Taylor coefficients of the composition of two analytic functions.