Functional Analysis has its origins in the mathematical foundation of quantum theory at the beginning of the 20th century and has since established itself as key field within modern mathematics.
At its core lie infinite-dimensional vector spaces and thus combines (linear) algebra and classical analysis. The many applications of functional analysis cover operator and spectral theory omnipresent in mathematical physics, systems and control theory and dynamical systems described by partial differential equations (PDEs). The group’s research topics particularly include semigroup theory, functional calculus and spectral sets (Crouzeix’s conjecture) on the theoretical side, and control theory with a focus on PDEs on the more applied side, including port-Hamiltionian systems.
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