Project

Complex and remainder Tauberian theory

Code
01D22914
Duration
01 October 2014 → 30 September 2018
Funding
Regional and community funding: Special Research Fund
Research disciplines
  • Natural sciences
    • Number theory
    • Approximations and expansions
    • Functions of a complex variable
    • Integral transforms, operational calculus
    • Real functions
    • Sequences, series, summability
Keywords
Tauberian theorems Laplace transform
 
Project description

The first goal is to make a comprehensive study of boundary singularities and their effect in major complex Tauberian theorems for Laplace transforms. The second goal is to obtain rapid remainders in such theorems. The third goal is to develop a general theory for remainders in Wiener type theorems via a Fourier multiplier approach.