Multidimensional Singular Integrals and Integral Equations: International Series of Monographs in Pure and Applied Mathematics
Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containin...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
London
Elsevier Science
2014
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Schriftenreihe: | International Series in Pure and Applied Mathematics
v.83 |
Schlagworte: | |
Online-Zugang: | FAW01 |
Zusammenfassung: | Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals. This volume is comprised of eight chapters and begins with an overview of some theorems on linear equations in Banach spaces, followed by a discussion on the simplest properties of multidimensional singular integrals. Subsequent chapters deal with compounding of singular integrals; properties of the symbol, with particular reference to Fourier transform of a kernel and the symbol of a singular operator; singular integrals in Lp spaces; and singular integral equations. The differentiation of integrals with a weak singularity is also considered, along with the rule for the multiplication of the symbols in the general case. The final chapter describes several applications of multidimensional singular integral equations to boundary problems in mathematical physics. This book will be of interest to mathematicians and students of mathematics |
Beschreibung: | Description based on publisher supplied metadata and other sources |
Beschreibung: | 1 online resource (273 pages) |
ISBN: | 9781483164496 9780080108520 |
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490 | 1 | |a International Series in Pure and Applied Mathematics |v v.83 | |
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520 | |a Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals. This volume is comprised of eight chapters and begins with an overview of some theorems on linear equations in Banach spaces, followed by a discussion on the simplest properties of multidimensional singular integrals. Subsequent chapters deal with compounding of singular integrals; properties of the symbol, with particular reference to Fourier transform of a kernel and the symbol of a singular operator; singular integrals in Lp spaces; and singular integral equations. The differentiation of integrals with a weak singularity is also considered, along with the rule for the multiplication of the symbols in the general case. The final chapter describes several applications of multidimensional singular integral equations to boundary problems in mathematical physics. This book will be of interest to mathematicians and students of mathematics | ||
650 | 4 | |a Integral equations | |
650 | 4 | |a Integrals | |
700 | 1 | |a Sneddon, Ian Naismith |d 1919-2000 |e Sonstige |0 (DE-588)121675343 |4 oth | |
700 | 1 | |a Stark, M. |e Sonstige |4 oth | |
700 | 1 | |a Ulam, Stanisław M. |d 1909-1984 |e Sonstige |0 (DE-588)119103281 |4 oth | |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Mikhlin, S |t G.. Multidimensional Singular Integrals and Integral Equations : International Series of Monographs in Pure and Applied Mathematics |
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Datensatz im Suchindex
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any_adam_object | |
author | Michlin, Solomon G. 1908-1990 |
author_GND | (DE-588)172258243 (DE-588)121675343 (DE-588)119103281 |
author_facet | Michlin, Solomon G. 1908-1990 |
author_role | aut |
author_sort | Michlin, Solomon G. 1908-1990 |
author_variant | s g m sg sgm |
building | Verbundindex |
bvnumber | BV043616465 |
collection | ZDB-30-PQE ZDB-33-ESD ZDB-33-EBS |
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dewey-full | 515.45 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.45 |
dewey-search | 515.45 |
dewey-sort | 3515.45 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV043616465 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:30:55Z |
institution | BVB |
isbn | 9781483164496 9780080108520 |
language | English |
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publisher | Elsevier Science |
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series | International Series in Pure and Applied Mathematics |
series2 | International Series in Pure and Applied Mathematics |
spelling | Michlin, Solomon G. 1908-1990 Verfasser (DE-588)172258243 aut Multidimensional Singular Integrals and Integral Equations International Series of Monographs in Pure and Applied Mathematics London Elsevier Science 2014 © 1965 1 online resource (273 pages) txt rdacontent c rdamedia cr rdacarrier International Series in Pure and Applied Mathematics v.83 Description based on publisher supplied metadata and other sources Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals. This volume is comprised of eight chapters and begins with an overview of some theorems on linear equations in Banach spaces, followed by a discussion on the simplest properties of multidimensional singular integrals. Subsequent chapters deal with compounding of singular integrals; properties of the symbol, with particular reference to Fourier transform of a kernel and the symbol of a singular operator; singular integrals in Lp spaces; and singular integral equations. The differentiation of integrals with a weak singularity is also considered, along with the rule for the multiplication of the symbols in the general case. The final chapter describes several applications of multidimensional singular integral equations to boundary problems in mathematical physics. This book will be of interest to mathematicians and students of mathematics Integral equations Integrals Sneddon, Ian Naismith 1919-2000 Sonstige (DE-588)121675343 oth Stark, M. Sonstige oth Ulam, Stanisław M. 1909-1984 Sonstige (DE-588)119103281 oth Erscheint auch als Druck-Ausgabe Mikhlin, S G.. Multidimensional Singular Integrals and Integral Equations : International Series of Monographs in Pure and Applied Mathematics International Series in Pure and Applied Mathematics v.83 (DE-604)BV024976318 83 |
spellingShingle | Michlin, Solomon G. 1908-1990 Multidimensional Singular Integrals and Integral Equations International Series of Monographs in Pure and Applied Mathematics International Series in Pure and Applied Mathematics Integral equations Integrals |
title | Multidimensional Singular Integrals and Integral Equations International Series of Monographs in Pure and Applied Mathematics |
title_auth | Multidimensional Singular Integrals and Integral Equations International Series of Monographs in Pure and Applied Mathematics |
title_exact_search | Multidimensional Singular Integrals and Integral Equations International Series of Monographs in Pure and Applied Mathematics |
title_full | Multidimensional Singular Integrals and Integral Equations International Series of Monographs in Pure and Applied Mathematics |
title_fullStr | Multidimensional Singular Integrals and Integral Equations International Series of Monographs in Pure and Applied Mathematics |
title_full_unstemmed | Multidimensional Singular Integrals and Integral Equations International Series of Monographs in Pure and Applied Mathematics |
title_short | Multidimensional Singular Integrals and Integral Equations |
title_sort | multidimensional singular integrals and integral equations international series of monographs in pure and applied mathematics |
title_sub | International Series of Monographs in Pure and Applied Mathematics |
topic | Integral equations Integrals |
topic_facet | Integral equations Integrals |
volume_link | (DE-604)BV024976318 |
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