Winter semester 2025

The Harmonic Analysis Seminar takes place weekly. It is a research seminar, and also offered as a graduate class for advanced students within the Vienna School of Mathematics (VSM). The seminar takes place on Mondays (15:00-16:30) in SR 10 in Kolingasse 14-16.

Organizers: José Luis Romero and Jordy van Velthoven

Topics

A good part of the seminar will be concerned with point discrepancy theory. The following articles will be discussed:

(1) L. Brandolini,  G. Travaglini. "Fourier analytic techniques for lattice point discrepancy." Discrepancy theory 26 (2020): 173. pdf.

(2) D. Bilyk, J. S. Brauchart. "On the lower bounds for the spherical cap discrepancy". Preprint. pdf.

(3) M. Björklund, M. Byléhn, "Hyperuniformity of random measures on Euclidean and hyperbolic spaces". Preprint. pdf.

(4) M. M. Skriganov, Constructions of uniform distributions in terms of geometry of numbers. Algebra i Analiz, 1994, Volume 6, Issue 3, Pages 200–230. link. pdf.

Schedule

Date Presenter Topic
06.10.2025 - Organizational meeting
13.10.2025 - Organizational meeting
20.10.2025 Markus Faulhuber Gabor systems with Hermite functions of order N and oversampling greater than N + 1 which are not frames
27.10.2025 Mattias Byléhn Sections 3, 4, 5 of (3)
03.11.2025 Mattias Byléhn Continuation
10.11.2025 Jan Zimmermann (4)
17.11.2025 Jan Zimmermann (4)
24.11.2025 Shota Uka Sections 3 and 4 of (1)
01.12.2025 Shota Uka Sections 3 and 4 of (1)
15.12.2025 Lukas Odelius Section 5 of (1)
12.01.2026 Ivan Trapasso (Online)
19.01.2026 - -
26.01.2026 - -

Notes

By Mattias Byléhn: Part 1 and Part 2.

By Jan Zimmermann. Part 1