The asymptotic behaviour of certain entire functions of order zero.
The Lebesgue constant for Lagrange interpolation on equidistant nodes.
The operator remainder in the Euler-Maclaurin formula.
The prime number theorem for Beurling's generalized numbers. New cases
The response of skin friction, wall heat transfer and pressure drop to wall waviness in the presence of buoyancy.
The structure of quasiasymptotics of Schwartz distributions
In this article complete characterizations of the quasiasymptotic behavior of Schwartz distributions are presented by means of structural theorems. The cases at infinity and the origin are both analyzed. Special attention is paid to quasiasymptotics of degree -1. It is shown how the structural theorem can be used to study Cesàro and Abel summability of trigonometric series and integrals. Further properties of quasiasymptotics at infinity are discussed. A condition for test functions in bigger spaces...
Trigonometrie Approximation with Exponential Error Orders. I. Construction of Asymptotically Optimal Processes; Generalized de la Vallée Poussin Sums.