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Titlebook: Operator Theory and Harmonic Analysis; OTHA 2020, Part I – Alexey N. Karapetyants,Vladislav V. Kravchenko,Hel Conference proceedings 2021

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发表于 2025-3-21 17:09:12 | 显示全部楼层 |阅读模式
书目名称Operator Theory and Harmonic Analysis
副标题OTHA 2020, Part I –
编辑Alexey N. Karapetyants,Vladislav V. Kravchenko,Hel
视频video
概述Introduces new results in methods, problems and applications of operator theory and harmonic analysis by leading researchers.Presents the fundamentals of theory followed by recent developments in PDE’
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Operator Theory and Harmonic Analysis; OTHA 2020, Part I –  Alexey N. Karapetyants,Vladislav V. Kravchenko,Hel Conference proceedings 2021
描述.This volume is part of the collaboration agreement between Springer and the ISAAC society..This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topicis related to the study of complex multiparameter objects required when considering operators and objects with variable parameters..
出版日期Conference proceedings 2021
关键词Harmonic Analysis: Methods of Real and Complex variable; Functional Analysis; Operator Theory; Approxim
版次1
doihttps://doi.org/10.1007/978-3-030-77493-6
isbn_softcover978-3-030-77495-0
isbn_ebook978-3-030-77493-6Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 21:35:40 | 显示全部楼层
On Initial Extensions of Mappings,h extensions are proposed and the corresponding examples are given. In one of them, the extension coincides with the Gelfand transform. The peculiarity of these constructions is that the domain of the extended transformation does not belong to . but is a bundle over a subset of ..
发表于 2025-3-22 03:11:04 | 显示全部楼层
A Dirichlet Problem for Non-elliptic Equations and Chebyshev Polynomials,ation only fourth order terms and coefficients are constant. The solvability conditions of in-homogeneous problem and the solutions of the corresponding homogeneous problem are determined in explicit form. The solutions are obtained in the form of expansions by Chebyshev polynomials.
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On Reflexivity and Other Geometric Properties of Morrey Spaces, Fatou property, the reflexivity. We propose conditions for the global Morrey space . to have the Fatou property. We give an example of global Morrey spaces ., which do have not an absolutely continuous norm, and spaces . and . have an absolutely continuous norm.
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Repeated Distances and Dot Products in Finite Fields,the distances determined by . are distinct, and also find a subset .″ of . such that all the dot products determined by .″ are distinct. We provide some number theoretic examples that indicate the degree of sharpness of our results. A general mechanism is outlined that should allow one to study these problems in much greater generality.
发表于 2025-3-23 07:13:15 | 显示全部楼层
A Neumann Series of Bessel Functions Representation for Solutions of the Radial Dirac System,of Bessel functions uniformly convergent with respect to the spectral parameter. For the coefficients of the series convenient for numerical computation recurrent integration formulas are given. Numerical examples are presented.
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