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New avenues for understanding what deep networks learn from EEG. [PDF]

Front Robot AI
Schirrmeister RT, Ball T.
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Fourier Series

An Introduction to Analysis, 2013
Publisher Summary This chapter analyzes trigonometric Fourier series, which are series of trigonometric functions. This set is chosen because the mathematics is the best developed and is the simplest to demonstrate. It will serve to illustrate the basic questions that need to be addressed for each system.
James R. Kirkwood
openaire   +3 more sources

FOURIER SERIES

Essentials of Mathematical Methods in Science and Engineering, 2019
The extension of the Fourier calculus to the entire real line leads naturally to the Fourier transform, a powerful mathematical tool for the analysis of aperiodic functions.
Massoud Malek
semanticscholar   +2 more sources

Introduction to Fourier series

Hermitian Analysis, 2019
From the other side, in 1876 P. du Bois-Reymond found a continuous function whose Fourier series diverges at a single point. Via the uniform boundedness theorem, we will show later that there are continuous functions whose Fourier series diverges at any ...
Charles L. Epstein
semanticscholar   +1 more source

Strong Convergence of Two-Dimensional Walsh–Fourier Series

Ukrainian Mathematical Journal, 2013
We prove that certain means of quadratic partial sums of the two-dimensional Walsh–Fourier series are uniformly bounded operators acting from the Hardy space Hp to the space Lp for 0 
G. Tephnadze
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Fourier Series and Fourier Transforms

2003
In Chapter 3, we touched upon the analogy between the diffraction of x-rays and that of visible light. Here, we extend that discussion and consider some aspects of Fourier series and Fourier transforms.
Mark Ladd, Rex A. Palmer
openaire   +2 more sources