Code
01N01014
Duration
01 January 2014 → 31 October 2018
Funding
Regional and community funding: Special Research Fund
Promotor
Research disciplines
-
Natural sciences
- Approximations and expansions
- Functional analysis
- Functions of a complex variable
- Harmonic analysis on Euclidean spaces
- Integral transforms, operational calculus
- Operator theory
- Partial differential equations
- Several complex variables and analytic spaces
Keywords
Convolution algebras
Spectral synthesis
Tauberian theory
Elliptic pseudo-differential operators
Fréchet algebras
ultradifferentialble functions
Spectral expansions
Approximation theory
generalized Fourier series expansions
Quasianalyticity
fourier analysis
ultradistributions.
Project description
The first part of the project investigates spaces of ultra-differentiable functions in terms of the growth of Fourier coefficients compared to spectral developments related to elliptical pseudo-differential operators. The second part deals with significant extensions of the famous theorem of Beurling-Wiener for convolutional algebras and applications in the Taubian theory of the asymptotics of integral transformations for large values of the parameter.