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Professorship of Applied Analysis
Kai Lüttgen

Kai Lüttgen, M.Sc.

Office: Reichenhainer Str. 39, Room 711
Telephone: (+49) 0371 - 531-37442
E-Mail: or
ORCID logo https://orcid.org/0009-0004-9162-849X

Reasearch Interests:

  • Fourier analysis
  • harmonic analysis
  • partial differential equations
  • function spaces

Personal Background:

  • since 2021: PhD student and scientific assistant as part of the Professorship of Applied Analysis
  • 2018 to 2020: University of Siegen, graduation as Master of Mathematics
  • 2014 to 2018: University of Siegen, graduation as Bachelor of Physics
  • 2011 to 2014: vocational training as a chemical lab technician at WTD 91

Talks at Conferences and Workshops

PDF Workshop on Mathematical Signal and Image Analysis
Raitenhaslach, March 20-22, 2023
"Smoothness, Reflections and the Half-Period Cosine Basis"
PDF Workshop From Modeling and Analysis to Approximation and Fast Algorithms
Hasenwinkel, December 2-6, 2022
"Properties and embeddings of Sobolev spaces of dominating mixed smoothness"
PDF Seminar on Analysis & Theoretical Numerics
Siegmundsburg, August 1-3, 2022
"On Sobolev spaces of dominating mixed smoothness with p=1"
PDF 12th International Conference on Nonlinear Analysis, Function Spaces and Applications (NAFSA12)
Prague, Mai 30th - June 3rd, 2022
"Characterising mixed Besov spaces with the half-period cosine basis"

Posters

Poster
Abstract
32. Rhein-Ruhr-Workshop
Bestwig, February 10-11, 2023
The Transformation \(f(x) \rightarrow f(\cos(x_{1}), \ldots, \cos(x_{n}))\) on Function Spaces of Dominating Mixed Smoothness

Teaching at Chemnitz University of Technology:

Winter Term 21/22: teaching assistant for the course Mathematical Methods I for Mechanical Engineers


Other:

In the past I have also worked as a teaching assistant for courses such as:

  • Mathematical Methods of Physics
  • Theoretical Phyics I
  • Analysis I and II
  • Ordinary Differential Equations
  • Functional Analysis

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