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Titlebook: Convolution Equations and Singular Integral Operators; Selected Papers Leonid Lerer,Vadim Olshevsky,Ilya M. Spitkovsky Book 2010 Birkh?user

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書(shū)目名稱(chēng)Convolution Equations and Singular Integral Operators
副標(biāo)題Selected Papers
編輯Leonid Lerer,Vadim Olshevsky,Ilya M. Spitkovsky
視頻videohttp://file.papertrans.cn/238/237876/237876.mp4
概述The papers selected for this volume have never been translated into English.Closes a gap in the English literature on the subject.The material can be used for advanced courses and seminars in mathemat
叢書(shū)名稱(chēng)Operator Theory: Advances and Applications
圖書(shū)封面Titlebook: Convolution Equations and Singular Integral Operators; Selected Papers Leonid Lerer,Vadim Olshevsky,Ilya M. Spitkovsky Book 2010 Birkh?user
描述This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparati
出版日期Book 2010
關(guān)鍵詞Factor; Finite; Integral equation; Singular integral; Volume; algorithms; applied mathematics; commutative
版次1
doihttps://doi.org/10.1007/978-3-7643-8956-7
isbn_ebook978-3-7643-8956-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightBirkh?user Basel 2010
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書(shū)目名稱(chēng)Convolution Equations and Singular Integral Operators影響因子(影響力)




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書(shū)目名稱(chēng)Convolution Equations and Singular Integral Operators被引頻次學(xué)科排名




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A framework for describing workinating points of the corresponding open arcs of the contour Γ, and the numbers .. satisfy the conditions –1 < .. < .–1. In what follows we will denote the space ..(Γ, .) by .., where the vector . is defined by . = (.., ..., ..).
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https://doi.org/10.1007/978-3-7643-8956-7Factor; Finite; Integral equation; Singular integral; Volume; algorithms; applied mathematics; commutative
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發(fā)表于 2025-3-22 15:25:56 | 只看該作者
Birkh?user Basel 2010
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發(fā)表于 2025-3-22 19:12:13 | 只看該作者
Introduction, lists more than 25 monographs, as well as more than 500 papers. Among these there are several papers published in Russian which have never been translated into English. The present volume partially removes this omission and contains English translations of 13 of these papers.
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發(fā)表于 2025-3-23 00:10:17 | 只看該作者
Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra,ed to the case where .. (. = 0,±1,...,±.) are elements of some noncommutative algebra with unit. The paper consists of six sections. The results of [.] are generalized in the first three sections, the results of [.] are extended in the last three sections. Continual analogues of results of this paper will be presented elsewhere.
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發(fā)表于 2025-3-23 02:48:08 | 只看該作者
https://doi.org/10.1007/1-4020-4583-2In this communication Toeplitz matrices of the form ∥..∥., where .. (.=0,±1,...,±. are elements of some noncommutative algebra, and their continual analogues are considered. The theorems presented here are generalizations of theorems from [.] to the noncommutative case.
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發(fā)表于 2025-3-23 07:04:59 | 只看該作者
Wittgenstein, Language and Information,By ..(0, τ) (1≤ . ≤ ∞, 0 < τ < ∞) denote the Banach space of the vector functions . = {.., .., ..., ..} with entries .. ∈ ..(0, τ) and the norm
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