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The present cumulative thesis is based on 6 papers concerning 3 topics: Balian-Low theorems, exponential bases and neural network approximation.
Various extensions of the Balian-Low theorem are proved for Gabor spaces spanning strict subsets of the space of square-integrable functions on the real line.
Concerning exponential bases, we show that a partition of the unit interval into subintervals with rationally independent endpoints admits a so-called hierarchical Riesz spectral set.
Finally, in terms of neural network approximation, quantitative rates for the approximation of complex valued functions with Sobolev (real) regularity via complex valued neural networks are obtained. Additionally, a network architecture is provided for approximating classifier functions with Barron boundaries without the curse of dimensionality.
Sustainable food supply
(2024)
The present cumulative dissertation was written from 2020-2023 at the Professorship of Christian Social Ethics and Social Policy at the Business Faculty of the Catholic University of Eichstätt-Ingolstadt. All papers in this dissertation represent independent contributions to scientific journals in the fields of Sustainable Consumption, Sustainable Food, and Sustainable Consumer Behavior. They examine consumer behavior regarding sustainable food by analyzing various factors that influence consumers’ decision-making.
Paper I: Winterstein, J., & Habisch, A. (2021). Organic and local food consumption: A matter of age? Empirical evidence from the German market. ABAC Journal1, 41(1), 26-42.
Paper II: Winterstein, J. (2022). Nudging and Boosting towards Sustainable Food Choices–A Systematic Literature Review of Cognitively Oriented Measures. Products for Conscious Consumers: Developing, Marketing and Selling Ethical Products1, 113-132. https://doi.org/10.1108/978-1-80262-837-120221014
Paper III: Winterstein, J., Frank, F., & Habisch, A. (2024) Desire for exploration beats price: Empirical study on customer motives for using digital monetary food sharing platforms. International Journal of Innovation and Sustainable Development1,2. DOI: 10.1504/IJISD.2023.10055067
Paper IV: Winterstein, J., Zhu, B., & Habisch, A. (2024). How personal and social-focused values shape the purchase intention for organic food: Cross-country comparison between Thailand and Germany. Journal of Cleaner Production1,3, 434, 140313. https://doi.org/10.1016/j.jclepro.2023.140313