PhD Student
Mathematics Cluster
Frame Theory and its Implementation
Tel. +43 1 51581-2528
Email: lukas.koehldorfer(at)oeaw.ac.at
Academic Background
Lukas Köhldorfer completed his Master’s degree in Mathematics (“passed with distinction”) at the University of Vienna in May 2021. In his Master’s thesis „Fusion Frames and Operators“ he worked on Frame Theory with emphasis on the concept of Fusion Frames. In October 2021 he started his Doctoral studies in Mathematics at the University of Vienna.
Current Research
Within the framework of the project Localized, Fusion and Tensors of Frames (LOFT), Lukas Köhldorfer investigates on the theoretical properties of frames and fusion frames. Apart from Frame Theory, his scientific main interests are Time-Frequency Analysis, Functional Analysis, Complex Analysis and Group Theory.
Projects
Publications
Publications
- Köhldorfer L.; Balazs P.; Casazza P.; Heineken S.; Hollomey C.; Morillas P.; et al. (2023) A Survey of Fusion Frames in Hilbert Spaces. In: Sampling, Approximation, and Signal Analysis. Applied and Numerical Harmonic Analysis.. Birkhäuser, Cham S. 245-328.
- Köhldorfer L.; Balazs P. (2023) On the relation of the frame-related operators of fusion frame systems. Sampling Theory, Signal Processing, and Data Analysis (SASIDA), Bd. 21, S. 9.
- Köhldorfer L. (2021) Fusions Frames and Operators. . University of Vienna, MA Thesis, .
- Waubke H.; Balazs P.; Köhldorfer L.; Kranabetter A. (2021) PanDeNoise: Measurements before and during the lockdown at Zederhaus. Fortschritte in der Akustik, DAGA 2021, Wien. Wien.
Additional Information
Hobbies
Lukas enjoys playing the drums in a band and is also involved in many music production processes.