Alex Bergman

I am a PhD student at Lund university. My advisor is Alexandru Aleman.

My field of research is analysis. I am typically working in the intersection of complex analysis, operator theory, and Fourier analysis. Recently I have been interested in entire functions and their applications. Below you can find a list of some of my research interests.

• Banach and Hilbert spaces of analytic functions (Hardy, Dirichlet, Bergman, etc)
• Approximation problems
• The uncertainty principle in Fourier analysis
• Cyclic vectors and invariant subspaces
• Sharp inequalities and extremal functions (e.g. for entire functions, Chebyshev polynomials)
• Shift and integral operators
• De Branges and model spaces
• Canonical systems of differential equations (Including the classical Schrödinger, Dirac, Jacobi, and Krein strings)
• The non-linear Fourier transform
• Reproducing kernels

My profile at Lund university.