Title: Multidimensional Singular Integrals and Integral Equations: International Series of Monographs in Pure and Applied Mathematics
Publisher: Pergamon
Publication Date: 2014
Language: English
ISBN 10: 1483132072
ISBN 13: 9781483132075
Binding: Paperback
Condition: Brand New
Weight: 0.43 kilograms

About this title

Synopsis

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.

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