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

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Recent Publications

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

Ole Fredrik Brevig and Winston Paul Heap
Convergence abscissas for Dirichlet series with multiplicative coefficients
Expositiones mathematicae

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

Eduardo Ortega Esparza, Toke Carlsen and E Pardo
C*-algebras associated to Boolean dynamical systems
Journal of Mathematical Analysis and Applications

Alexander Logunov, Eugenia Malinnikova and Pavel Mozolyako
On a theorem of Cartwright in higher dimensions
Journal of the London Mathematical Society

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