Department of Mathematical Sciences


Penrose tiling. Figure.

The research activities of the Analysis group are divided into four focus areas:

Complex Analysis is a powerful tool in engineering, for example in hydrodynamics, signal analysis and control theory, and theoretical physics. These applications again lead to exciting new problems in complex analysis.

Harmonic Analysis develops a signal into a collection of pure waves (harmonics), and then use this development to analyze the signal, including its compression and transmission.

Noncommutative Geometry extends the natural correspondence between geometric spaces and commutative algebras to the noncommutative case. This allows us to extend the classical tools—such as measure theory, topology, differential calculus and Riemannian geometry—to the noncommutative situation.

Arithmetical Physics has become a vast area, which, among many other things, explores the possibility of describing phenomena below the Planck length by using fields and rings other than the usual real and complex numbers.


Berit Stensønes Professor Berit Stensønes, Head of the Analysis group


Staff – Analysis group

Upcoming Events

Current Projects

Quantum Metric and Semiclassical Aspects of Time-Frequency Analysis
Peder Sather Grant 2015
Project leaders: Franz Luef, Maciej Zworski
Team members: Yura Lyubarskii, Eugenia Malinnikova, Marc A. Rieffel, Isaac A. Romero
Dirichlet Series and Analysis on Polydiscs (DISPDISC) (NFR, 2013‑2018)
Discrete Models in Mathematical Analysis (DiMMA) (NFR, 2012‑2016)

Completed projects

Seminars and Conferences


Seminar archives

Recent Publications

Andrii Bondarenko and Kristian Seip
Helson's problem for sums of a random multiplicative function

Ole Fredrik Brevig
Zeros of functions in Bergman-type Hilbert spaces of Dirichlet series
Mathematica Scandinavica

Ole Fredrik Brevig and Maxime Bailleul
Composition operators on Bohr-Bergman spaces of Dirichlet series
Annales Academiae Scientiarum Fennicae Mathematica

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