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Harmonic and Spectral Analysis - Why we started HSA website

Harmonic analysis is a central area of mathematics both from theoretical and applied point of view. The classical roots go back to Fourier series and the modern branches are related to analysis on topological groups. In the non-commutative case the theory is closely related to the representation theory of groups and algebras. Many applications are connected with the various forms of the Fourier transform and other types of integral transforms.

Our team decided to set up a platform for those who are working on, or interested in this field and are ready to exchange their ideas with colleagues all over the world. We created this website as a meeting point for researchers, students and interested people to share their ideas and to learn the recent developments and results in the field.

One of our first activity was to organize the zoom conference on Harmonic and Spectral Analysis (HSA 2020) from 8 to 10 June, 2020. This conference was intended to be the first one in a series of online conferences on the subject.

Mathematicians behind HSA (Harmonic and Spectral Analysis) site

Facts about HSA 2020

The zoom conference Harmonic and Spectral Analysis (HSA 2020) took place from 8 to 10 June, 2020, hosted by Debrecen University (Debrecen, Hungary) and Alfréd Rényi Mathematical Research Institute (Budapest, Hungary).

The organisers were Prof. László Székelyhidi (chairman, Debrecen University), Prof. Eszter Gselmann (secretary, Debrecen University) and Prof. Gergely Kiss (secretary, Alfréd Rényi Mathematical Research Institute).

There were 17 invited speakers from 11 countries who delivered 20-minute talks on the subject. Although the participation was subjected to free registration, the zoom link of the conference was available. The number of registered participants was 31 from 19 countries, and the maximum number of listeners was 48 during the conference.  The great diversity of the talks made the conference especially useful for those who just wanted to get an impression from the world of harmonic analysis.

The Problems and Remarks sessions offered the opportunity for those who wanted to share open problems, or solutions to open problems. There were “Coffee Breaks” where the participants were directed to various breakout rooms and they had the possibility to continue free discussion in a smaller group.

The talks were recorded and they are available for the community through this link. The organisers will prepare an electronic proceedings containing the pdf version of the talks and problems.