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Concept

Théorème de Tykhonov

Publications associées (5)

SETS OF p-UNIQUENESS ON NONCOMMUTATIVE LOCALLY COMPACT GROUPS

Antoine Derighetti

We prove that a closed subgroup H of a locally compact group G is a set of p-uniqueness (1 < p < infinity) if and only if H is locally negligible. We also obtain the inverse projection theorem for sets of p-uniqueness. ...

Ars Polona-Ruch2017

Sequences with Minimal Time-Frequency Uncertainty

Martin Vetterli, Yann Barbotin, Reza Parhizkar

A central problem in signal processing and communications is to design signals that are compact both in time and frequency. Heisenberg's uncertainty principle states that a given function cannot be arbitrarily compact both in time and frequency, defining a ...

Elsevier2015

Sequences with Minimal Time-Frequency Spreads

Martin Vetterli, Yann Barbotin, Reza Parhizkar

For a given time or frequency spread, one can always find continuous- time signals, which achieve the Heisenberg uncertainty principle bound. This is known, however, not to be the case for discrete-time sequences; only widely spread sequences asymptoticall ...

Ieee2013

Euclidean Distance Matrices : Properties, Algorithms and Applications

Reza Parhizkar

Euclidean distance matrices (EDMs) are central players in many diverse fields including psychometrics, NMR spectroscopy, machine learning and sensor networks. However, they are not often exploited in signal processing. In this thesis, we analyze attributes ...

EPFL2013

Openness And Convexity For Momentum Maps

Tudor Ratiu, Juan-Pablo Ortega

The purpose of this paper is finding the essential attributes underlying the convexity theorems for momentum maps. It is shown that they are of a topological nature; more specifically, we show that convexity follows if the map is open onto its image and ha ...

2009