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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Rebricking frames and bases

## Rebricking frames and basesAdd to your list(s) Download to your calendar using vCal - Brigitte Forster-Heinlein (Universität Passau)
- Tuesday 16 July 2024, 16:00-16:40
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. DREW01 - Multivariate approximation, discretization, and sampling recovery In 1946, Dennis Gabor introduced the analytic signal $f+iHf$ for real-valued signals $f$. Here, $H$ is the Hilbert transform. This complexification of functions allows for an analysis of their amplitude and phase information and has ever since given well-interpretable insight into the properties of the signals over time. The idea of complexification has been reconsidered with regard to many aspects: Examples are the dual tree complex wavelet transform, or via the Riesz transform and the monogenic signal, i.e. a multi-dimensional version of the Hilbert transform, which in combination with multi-resolution approaches leads to Riesz wavelets, and others. In this context, we ask two questions:- Which pairs of real orthonormal bases, Riesz bases, frames and Parseval frames $\{f_{n}\} This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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