Speaker: Sundaram Thangavelu
Affiliation: Indian Institute of Science

## Abstract

The usual definition of Fourier transform on the Heisenberg $\mathbb{H}^n$ is in terms of the Schr\"odinger representations $\pi_\lambda$ which makes it  operator valued and hence unwieldy and not suitable for studying several problems in harmonic analysis on $\mathbb{H}^n.$ In this talk, which is based on a recent article, we propose a scalar valued Fourier transform that shares several properties with the Helgason Fourier transform on noncompact rank one  Riemannian symmetric spaces.

## References

S. Thangavelu, A scalar valued Fourier transform for the Heisenberg group arXiv:2206.00883

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 3pm to 3.50pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

#### Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.