Department of Mathematical Sciences

Analysis

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.

Contact

Eugenia MalinnikovaAssociate Professor Eugenia Malinnikova
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

Conferences

Seminar archives

Recent Publications

Frederic Bayart, Herve Queffelec and Kristian Seip
Approximation numbers of composition operators on H^p spaces of Dirichlet series
Annales de l'Institut Fourier

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

Andrii Bondarenko, Titus Hilberdink and Kristian Seip
Gal-type GCD sums beyond the critical line
Journal of Number Theory

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

Ole Fredrik Brevig
An embedding constant for the Hardy space of Dirichlet series
Proceedings of the American Mathematical Society

Ole Fredrik Brevig, Karl-Mikael Perfekt, Kristian Seip, Aristomenis Siskakis and Dragan Vukotic
The multiplicative Hilbert matrix
Advances in Mathematics

Magnus B. Landstad, Steve Kaliszewski and John Quigg
Exotic Coactions
Proceedings of the Edinburgh Mathematical Society

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