Contributions to analytic number theory: Zero-density estimates for L-functions, almost-prime k-tuples, and Tauberian theorems

Doctoral project Dorde Vuckovic

Doctoral project Gregory Debruyne

Factorization theorems for smooth vectors of Lie group representations

Partial differential equations and linear topological invariants

Stability theory for operator semigroups

Doctoral project Andreas Debrouwere

Functional analysis: a nonstandard analysis approach

Advances in Tauberian theory

Advances in the theory of Beurling generalized primes

Asymptotic distribution of primes of generalized Beurling.

Complex and remainder Tauberian theory

Extremal problems in Fourier analysis and abstract analytic number theory.

Factorization theorems for smooth vectors of Lie group representations

Factorization, Whitney extension, and moment problems. A functional analytic approach

General Tauberian remainder theory

Initiation of a unified program for Tauberian theory

Quasianalytic and non-quasianalytic classes in Fourier analysis and approximation theory

Three open questions in the theory of Beurling's generalized primes

Time-Frequency Analysis methods in Functional Analysis

Wavelet methods in classical and functional analysis

Wavelet techniques in regularity analysis and applications to partialdifferential aquations with singularities.

Weighted Laplacians on locally doubling manifolds

Analytic combinatorics of the transfinite: A Tauberian approach

Spaces of analytic functions in linear and nonlinear generalized function theory

Tauberian methods in generalized function theory and applications

Three open questions in the theory of Beurling's generalized primes