Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor "Bahns, Dorothea Prof. Dr."
Now showing items 1-5 of 5
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Nocommutative structures inquantum field theory
(2021-10-19)In this thesis, structures defined via modular operads and properads are generalized to their non-commutative analogs. We define the connected sum for modular operads. This way we are able to construct the graded commutative ... -
Structure Analysis of the Pohlmeyer-Rehren Lie Algebra and Adaptations of the Hall Algorithm to Non-Free Graded Lie Algebras
(2021-06-14)The Pohlmeyer-Rehren Lie algebra $\mathfrak{g}$ is an infinite-dimensional $\mathbb{Z}$-graded Lie algebra that was discovered in the context of string quantization in $d$-dimensional spacetime by K. Pohlmeyer and his ... -
Continuous Wavelet Transformation on Homogeneous Spaces
(2021-03-29)The classical Continuous Wavelet Transformation (cCWT) is an important and well-studied tool in signal processing and data analysis. Because of its deep connection to representation theory, it has come into focus of pure ... -
Microlocal Analysis of Tempered Distributions
(2014-09-17)In this dissertation we study tempered distributions from the microlocal point of view. The fundamental notion of microlocal analysis, the wave front set, is replaced by two analogues, the SG-wave front set and the G-wave ... -
Singularities of two-point functions in Quantum Field Theory
(2013-08-28)The main topic of the present thesis is the study of singularities of two-point functions of spin-0 and spin-1/2 quantum fields, possibly set on curved spacetime or in the presence of smooth, external electromagnetic ...