Publications related to Rectangular function

Memoryless Worker-Task Assignment with Polylogarithmic Switching Cost

We study the basic problem of assigning memoryless workers to tasks with dynamically changing demands. Given a set of w workers and a multiset T ⊆ [t] of |T| = w tasks, a memoryless worker-task assignment function is any function ϕ that assigns the workers ...

Schloss Dagstuhl -- Leibniz-Zentrum fur Informatik2022

Perturbed Fourier uniqueness and interpolation results in higher dimensions

Joao Pedro Gonçalves Ramos, Martin Peter Stoller

We obtain new Fourier interpolation and uniqueness results in all dimensions, extending methods and results by the first author and M. Sousa [11] and the second author [12]. We show that the only Schwartz function which, together with its Fourier transform ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

Fourier uniqueness and interpolation in Euclidean space

Martin Peter Stoller

We prove that every Schwartz function in Euclidean space can be completely recovered given only its restrictions and the restrictions of its Fourier transform to all origin-centered spheres whose radii are square roots of integers. In particular, the only ...

EPFL2022

A New Channel-Base Lightning Current Formula With Analytically Adjustable Parameters

Farhad Rachidi-Haeri

The article provides a new channel-based current function, which aims at faithfully reproducing the salient parameters of lightning currents. All the model parameters can be set in a fully analytical way, guaranteeing the possibility of changing them (acco ...

2021

Versatile shaping of optical frequency combs and applications

Jianqi Hu

Optical frequency combs are a series of phase-locked and equidistant laser lines in the spectral domain. In the time domain, they correspond to periodic pulse trains by the Fourier relation. The ability to shape optical combs and pulse trains is pivotal to ...

EPFL2021

Thermal CFTs in momentum space

Andrea Manenti

We study some aspects of conformal field theories at finite temperature in momentum space. We provide a formula for the Fourier transform of a thermal conformal block and study its analytic properties. In particular we show that the Fourier transform vanis ...

SPRINGER2020

Simple models for biological control of crop pests and their application

Luz Vianey Vela Arevalo

In this work, we construct simple models in terms of differential equations for the dynamics of pest populations and their management using biological pest control. For the first model used, the effect of the biological control is modelled by a function of ...

WILEY2019

Non-linear transfer function identification of pressure probes using Siren Disks

Jürg Alexander Schiffmann, Karim Magdi Zakaria Abdelrahman Shalash, Fatma Ceyhun Sahin

This article presents a Siren Disk proof of concept for the dynamic excitation of pressure probes, and a method to reconstruct distorted signals due to pneumatic channels. Constraints in sensor installation require placing a pressure transducer distant fro ...

2018

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Sampling at unknown locations, with an application in surface retrieval

Martin Vetterli, Benjamin Bejar Haro, Adam James Scholefield, Michalina Wanda Pacholska

We consider the problem of sampling at unknown locations. We prove that, in this setting, if we take arbitrarily many samples of a polynomial or real bandlimited signal, it is possible to find another function in the same class, arbitrarily far away from t ...

2017

Rectangular function

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Memoryless Worker-Task Assignment with Polylogarithmic Switching Cost

Perturbed Fourier uniqueness and interpolation results in higher dimensions

Fourier uniqueness and interpolation in Euclidean space

A New Channel-Base Lightning Current Formula With Analytically Adjustable Parameters

Versatile shaping of optical frequency combs and applications

Thermal CFTs in momentum space

Simple models for biological control of crop pests and their application

Non-linear transfer function identification of pressure probes using Siren Disks

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Sampling at unknown locations, with an application in surface retrieval

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Sampling at unknown locations, with an application in surface retrieval

Fourier uniqueness and interpolation in Euclidean space

A New Channel-Base Lightning Current Formula With Analytically Adjustable Parameters

Versatile shaping of optical frequency combs and applications

Simple models for biological control of crop pests and their application

Non-linear transfer function identification of pressure probes using Siren Disks

Perturbed Fourier uniqueness and interpolation results in higher dimensions

Memoryless Worker-Task Assignment with Polylogarithmic Switching Cost

Thermal CFTs in momentum space