Fourier analysis and applications (FANAP)
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Research project no. IP-2022-10-5116 funded by the Croatian Science Foundation (HRZZ)
Hosting organization: Faculty of Science (PMF), University of Zagreb
Project duration: 48 months (from December 31, 2023 to December 30, 2027)
Total amount of funding: 149293.25 EUR |
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The project primarily studies current topics in Fourier analysis: pointwise properties and restriction of the Fourier transform, nonlinear Fourier models, and estimates for Fourier multipliers. In addition, analytical techniques are used to solve problems in other branches of mathematics: geometric measure theory, the theory of wavelets and other function systems, arithmetic combinatorics, and Ramsey theory. Most of the research is directed towards complete or partial solutions of well-known open problems. |
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- Vjekoslav Kovač, full professor, Department of Mathematics, Faculty of Science, University of Zagreb
- Adrian Beker, doctoral student and teaching assistant, Department of Mathematics, Faculty of Science, University of Zagreb
- Aleksandar Bulj, teaching assistant with doctorate, Department of Mathematics, Faculty of Science, University of Zagreb
- Tonći Crmarić, doctoral student and teaching assistant, Department of Mathematics, Faculty of Science, University of Split (joined on March 15, 2024)
- Nina Kamčev, associate professor, Department of Mathematics, Faculty of Science, University of Zagreb
- Rudi Mrazović, assistant professor, Department of Mathematics, Faculty of Science, University of Zagreb
- Bruno Predojević, HRZZ doctoral student and teaching assistant, Department of Mathematics, Faculty of Science, University of Zagreb
- Jelena Rupčić, assistant professor, Faculty of Transport and Traffic Sciences, University of Zagreb
- Ivana Slamić, assistant professor, Faculty of Mathematics, University of Rijeka
- Hrvoje Šikić, full professor with tenure, Department of Mathematics, Faculty of Science, University of Zagreb
- Kristina Ana Škreb, assistant professor, Faculty of Civil Engineering, University of Zagreb
- Tadej Petar Tukara, doctoral student and teaching assistant, Department of Mathematics, Faculty of Science, University of Zagreb (joined on March 15, 2024)
Completed in the 1st project year
[1] |
A. Beker, Improved bounds for skew corner-free sets,
preprint (2024), 15 pp. |
[arXiv] |
[2] |
I. Holmes Fay, G. Rey, K. A. Škreb, Sharp restricted weak-type estimates for sparse operators,
preprint (2024), 30 pp. |
[arXiv] |
[3] |
V. Kovač, Coloring and density theorems for configurations of a given volume,
preprint (2024), 47 pp. |
[arXiv] |
Conference and seminar talks |
In the 1st project year
- K. A. Škreb, Dimensionless weighted estimates for the Bakry Riesz vector (online seminar talk), Ergodic Theory & Analysis Seminar (ETA), February 28, 2024.
- N. Kamčev, The degree sequence of a random hypergraph (workshop talk), Bellairs workshop on probability and graphs, Bellairs Research Institute, Holetown, Barbados, March 25, 2024.
Participation in summer schools, workshops, and conferences |
In the 1st project year
Organization of workshops |
In the 1st project year
Purchased subscriptions, equipment, and software |
In the 1st project year
December 31, 2023 |
Project started. |
January 2, 2024 |
Nina Kamčev received the CMSA Prize by the Combinatorial Mathematics Society of Australasia awarded to an early career mathematician for outstanding research in combinatorics. Congratulations! |
January 18, 2024 |
Adrian Beker and Vjekoslav Kovač were nominated for the Croatian person of the year 2023 award by the magazine Večernji list. Congratulations! |
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