Results 11 to 20 of about 4,708,954 (364)

Fourier Series Formalization in ACL2(r) [PDF]

Electronic Proceedings in Theoretical Computer Science, 2015
We formalize some basic properties of Fourier series in the logic of ACL2(r), which is a variant of ACL2 that supports reasoning about the real and complex numbers by way of non-standard analysis.
Cuong K. Chau, Matt Kaufmann, Warren A. Hunt Jr.   +2 more
doaj   +6 more sources

Notes regarding classical Fourier series

Journal of Numerical Analysis and Approximation Theory, 2023
A survey of some classical results from the theory of trigonomtrical series is presented, especially the case of Fourier series. Some new proofs are presented, and Riemann's theory of trigonometrical series is is given special attention.
Paul Bracken
doaj   +1 more source

Fourier expansion in variational quantum algorithms [PDF]

Physical Review A, 2023
The Fourier expansion of the loss function in variational quantum algorithms (VQA) contains a wealth of information, yet is generally hard to access. We focus on the class of variational circuits, where constant gates are Clifford gates and parameterized
Nikita A. Nemkov, E. Kiktenko, A. Fedorov   +2 more
semanticscholar   +1 more source

Alternative Method to Estimate the Fourier Expansions and Its Rate of Change

Mathematics, 2022
This paper presents a methodology to obtain the Fourier coefficients (FCs) and the derivative Fourier coefficients (DFCs) from an input signal. Based on the Taylor series that approximates the input signal into a trigonometric signal model through the ...
Johnny Rodríguez-Maldonado, Cornelio Posadas-Castillo, Ernesto Zambrano-Serrano   +2 more
doaj   +1 more source

Pointwise Convergence of Noncommutative Fourier Series [PDF]

Memoirs of the American Mathematical Society, 2019
This paper is devoted to the study of pointwise convergence of Fourier series for group von Neumann algebras and quantum groups. It is well-known that a number of approximation properties of groups can be interpreted as summation methods and mean ...
G. Hong, Simeng Wang, Xumin Wang
semanticscholar   +1 more source

Fourier-series expansion of the dark-energy equation of state [PDF]

Monthly notices of the Royal Astronomical Society, 2019
The dark-energy component of the Universe still remains a mystery; however, several papers based on observational data have shown that its equation of state may have an oscillatory behaviour.
D. Tamayo
semanticscholar   +1 more source

Matrix Summability of Walsh–Fourier Series

Mathematics, 2022
The presented paper discusses the matrix summability of the Walsh–Fourier series. In particular, we discuss the convergence of matrix transforms in L1 space and in CW space in terms of modulus of continuity and matrix transform variation.
Ushangi Goginava, Károly Nagy
doaj   +1 more source

Wasserstein distance, Fourier series and applications [PDF]

Monatshefte für Mathematik (Print), 2018
We study the Wasserstein metric Wp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
S. Steinerberger
semanticscholar   +1 more source

Quantization of pseudo-differential operators on the torus [PDF]

, 2008
Pseudo-differential and Fourier series operators on the n-torus are analyzed by using global representations by Fourier series instead of local representations in coordinate charts.
Ruzhansky, Michael, Turunen, Ville
core   +3 more sources

On A Subclass Of P- Valent Functions With Negative Coefficsients Defined By Integral Operator By Applying Fourier Series I

Journal of Kufa for Mathematics and Computer, 2013
In this paper , we introduced a new subclass  which consists of analytic and valent functions with negative coefficients in the unit disk defined by integral operator .
Rafid Habib Buti
doaj   +1 more source