ON \(\Lambda\)-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES [PDF]
Ural Mathematical Journal, 2017 We consider one type of convergence of multiple trigonometric Fourier series intermediate between the convergence over cubes and the \(\lambda \)-convergence for \(\lambda >1\).
Nikolai Yu. Antonov
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Summation of Multiple Fourier Series in Matrix Weighted -Spaces [PDF]
Journal of Mathematics, 2013 This paper is concerned with rectangular summation of multiple Fourier series in matrix weighted -spaces. We introduce a product Muckenhoupt condition for matrix weights and prove that rectangular Fourier partial sums converge in the corresponding ...
Morten Nielsen
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On the Localization of the Riesz Means of Multiple Fourier Series of Distributions [PDF]
Abstract and Applied Analysis, 2011 We study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support.
A. A. Rakhimov
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Fourier-series-based virtual fields method for the identification of 2-D stiffness distributions [PDF]
, 2013 The Virtual Fields Method (VFM) is a powerful technique for the calculation of spatial distributions of material properties from experimentally-determined displacement fields.
Ian A. Ashcroft (7125329) +3 more
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Modified Fourier expansions: theory, construction and applications [PDF]
, 2010 Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective construction and computation, and ...
core +2 more sources
MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Integral transforms for functions of several variables are an actively developing area of mathematical analysis. Numerous applications in integral transforms method for solving equations of mathematical physics, in signal processing of ...
O. E. Yaremko +2 more
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One-Dimensional MUSIC-Type Algorithm for Spherical Microphone Arrays
IEEE Access, 2020 Spherical microphone arrays have been widely used in direction-of-arrival (DOA) estimation in recent years. The conventional multiple signal classification method formulated in spherical harmonic domain (SHMUSIC) is computationally expensive ...
Qinghua Huang, Tingwei Chen
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Optimization of the mean-square approximation procedures for iterated Stratonovich stochastic integrals of multiplicities 1 to 3 with respect to components of the multi-dimensional Wiener process based on Multiple Fourier–Legendre series [PDF]
MATEC Web of Conferences, 2022 The article is devoted to approximation of iterated Ito and Stratonovich stochastic integrals of multiplicities 1 to 3 by the method of multiple Fourier–Legendre series.
Kuznetsov Dmitriy, Kuznetsov Mikhail
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Journal of Advanced Transportation, 2022 Accurate traffic prediction is a powerful factor of intelligent transportation systems to make assisted decisions. However, existing methods are deficient in modeling long series spatio-temporal characteristics. Due to the complex and nonlinear nature of
Shanchun Zhao, Xu Li
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Making Time Series Embeddings More Interpretable in Deep Learning
Proceedings of the International Florida Artificial Intelligence Research Society Conference, 2023 With the success of language models in deep learning, multiple new time series embeddings have been proposed. However, the interpretability of those representations is often still lacking compared to word embeddings. This paper tackles this issue, aiming
Leonid Schwenke, Martin Atzmueller
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