Generating basis sets of $L^2$ using composition operators

This repository contains source code and results of calculations accompanying the manuscript:

Y. Saleh and A. Iske: Inducing Riesz bases in $L^2$ via composition operators. Complex Anal. Oper. Theory. 20, 21 (2025). DOI:10.1007/s11785-025-01874-5.

Requirements

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We used Conda to manage dependencies and ensure reproducible environments.

To create the environment from the provided requirements.txt file, run:

conda create --name myenv --file requirements.txt

Contents

The experiments performed in the manusript are provided in generate_bases.ipynb.

Citation

If you use this code in your research, please cite:

Y. Saleh and A. Iske: Inducing Riesz bases in $L^2$ via composition operators. Complex Anal. Oper. Theory. 20, 21 (2025) DOI:10.1007/s11785-025-01874-5.

@article{Saleh:CAOT20:21,
	author = {Saleh, Yahya and Iske, Armin},
	year   = {2025},
	isbn   = {1661-8262},
	journal= {Complex Anal. Oper. Theory.},
	number = {1},
	pages  = {21},
	title  = {Inducing Riesz Bases in $L^2$ via Composition Operators},
	url    = {https://doi.org/10.1007/s11785-025-01874-5},
	volume = {20},
	doi    = {10.1007/s11785-025-01874-5},
  }

Contact

For questions or feedback, feel free to open an issue or reach out to the authors directly via yahya.saleh@uni-hamburg.de.