Results 301 to 310 of about 4,596,905 (360)
Some of the next articles are maybe not open access.

Fourier Series

Basic Analysis I, 2020
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 K. Peterson
semanticscholar   +3 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

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   +1 more source

Combined Estimator Fourier Series and Spline Truncated in Multivariable Nonparametric Regression

, 2015
Multivariable additive nonparametric regression model is a nonparametric regression model that involves more than one predictor and has additively separable function on each predictor. There are many functions that can be used on nonparametric regression
I. W. Sudiarsa   +3 more
semanticscholar   +1 more source

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

On the Fourier series and Fourier transforms

Journal of Mathematical Sciences, 2019
This survey article is addresses to classical harmonic analysis. In particular, a number of classical theorems are presented with the simplest, in our opinion, proofs (see also [1] and references therein). Some results of the present article are new and are published for the first time.
openaire   +2 more sources

Use of Fourier series in the analysis of discontinuous periodic structures

, 1996
The recent reformulation of the coupled-wave method by Lalanne and Morris [ J. Opt. Soc. Am. A13, 779 ( 1996)] and by Granet and Guizal [ J. Opt. Soc. Am. A13, 1019 ( 1996)], which dramatically improves the convergence of the method for metallic gratings
Lifeng Li
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
semanticscholar   +1 more source

FOURIER SERIES

1966
Publisher Summary This chapter focuses on “function space” as opposed to a three-dimensional “vector space.” This function space is infinite dimensional, in the sense that an infinite sequence of mutually orthogonal functions is needed to represent an arbitrary function.
openaire   +3 more sources

Simulating Spatial Averages of Stationary Random Field Using the Fourier Series Method

, 2013
A Fourier series method (FSM) of simulating spatial averages of stationary Gaussian random fields is presented. The FSM is able to simulate spatial averages over nonequally spaced rectangular cells, and by adopting Gauss quadrature, it can be further ...
S. Jha, J. Ching
semanticscholar   +1 more source

Home - About - Disclaimer - Privacy