Publications related to An Extension Property For The Figa-Talamanca Herz Algebra

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Non-normal forms

Yves-Marie François Ducimetière

In this thesis, we propose to formally derive amplitude equations governing the weakly nonlinear evolution of non-normal dynamical systems, when they respond to harmonic or stochastic forcing, or to an initial condition. This approach reconciles the non-mo ...

EPFL2024

On Herz'S Extension Theorem

Antoine Derighetti

We present a self-contained proof of the following famous extension theorem due to Carl Herz. A closed subgroup H of a locally compact group G is a set of p-synthesis in G if and only if, for every u is an element of A(p)(H) boolean AND C-00(H) and for eve ...

TUSI MATHEMATICAL RESEARCH GROUP2019

Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters

Michaël Unser, Julien René Pierre Fageot, John Paul Ward

A convolution algebra is a topological vector space X that is closed under the convolution operation. It is said to be inverse-closed if each element of X whose spectrum is bounded away from zero has a convolution inverse that is also part of the algebra. ...

SPRINGER BIRKHAUSER2019

An Optimal Space Lower Bound for Approximating MAX-CUT

Mikhail Kapralov

We consider the problem of estimating the value of MAX-CUT in a graph in the streaming model of computation. At one extreme, there is a trivial 2-approximation for this problem that uses only O(log n) space, namely, count the number of edges and output hal ...

ASSOC COMPUTING MACHINERY2019

A Universal Sampling Method for Reconstructing Signals with Simple Fourier Transforms

Mikhail Kapralov, Amir Zandieh

Reconstructing continuous signals based on a small number of discrete samples is a fundamental problem across science and engineering. We are often interested in signals with "simple" Fourier structure - e.g., those involving frequencies within a bounded r ...

ASSOC COMPUTING MACHINERY2019

Parallel Implementation Technique of Digital Equalizer for Ultra-High-Speed Wireline Receiver

Cosimo Aprile, Yusuf Leblebici, Alessandro Cevrero, Lukas Kull, Gain Kim, Ilter Ozkaya, Thomas Toifl

This paper presents a parallel implementation technique of digital equalizer for high-speed wireline serial link receiver (RX). In wireline RX, inter-symbol interference (ISI) is mitigated by continuous-time linear equalizer, and the remaining ISI is cance ...

2018

Large Sieve Inequalities for Algebraic Trace Functions

Philippe Michel, Ping Xi

The large sieve inequalities for algebraic trace functions are considered in this article. A fundamental iterative relation is established by classical Fourier analysis, and l-adic Fourier analysis and multiplicative convolutions of sheaves are also requir ...

Oxford Univ Press2017

Fixed Points For Bounded Orbits In Hilbert Spaces

Nicolas Monod, Maxime Gheysens

Consider the following property of a topological group G: every continuous affine G-action on a Hilbert space with a bounded orbit has a fixed point. We prove that this property characterizes amenability for locally compact a-compact groups (e.g., countabl ...

Elsevier2017

An Extension Property For The Figa-Talamanca Herz Algebra

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Non-normal forms

Resolution-robust Large Mask In painting with Fourier Convolutions

Survey on the Figà–Talamanca Herz algebra

On Herz'S Extension Theorem

Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters

An Optimal Space Lower Bound for Approximating MAX-CUT

A Universal Sampling Method for Reconstructing Signals with Simple Fourier Transforms

Parallel Implementation Technique of Digital Equalizer for Ultra-High-Speed Wireline Receiver

Large Sieve Inequalities for Algebraic Trace Functions

Fixed Points For Bounded Orbits In Hilbert Spaces

Non-normal forms

Fixed Points For Bounded Orbits In Hilbert Spaces

On Herz'S Extension Theorem

An Optimal Space Lower Bound for Approximating MAX-CUT

Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters

A Universal Sampling Method for Reconstructing Signals with Simple Fourier Transforms

Parallel Implementation Technique of Digital Equalizer for Ultra-High-Speed Wireline Receiver

Survey on the Figà–Talamanca Herz algebra

Large Sieve Inequalities for Algebraic Trace Functions

Resolution-robust Large Mask In painting with Fourier Convolutions