Banach Algebras with Symbol and Singular Integral Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Banach Algebras with Symbol and Singular Integral Operators write by N. Krupnik. This book was released on 2013-11-22. Banach Algebras with Symbol and Singular Integral Operators available in PDF, EPUB and Kindle. About fifty years aga S. G. Mikhlin, in solving the regularization problem for two-dimensional singular integral operators [56], assigned to each such operator a func tion which he called a symbol, and showed that regularization is possible if the infimum of the modulus of the symbol is positive. Later, the notion of a symbol was extended to multidimensional singular integral operators (of arbitrary dimension) [57, 58, 21, 22]. Subsequently, the synthesis of singular integral, and differential operators [2, 8, 9]led to the theory of pseudodifferential operators [17, 35] (see also [35(1)-35(17)]*), which are naturally characterized by their symbols. An important role in the construction of symbols for many classes of operators was played by Gelfand's theory of maximal ideals of Banach algebras [201. Using this the ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)]. The investigation of systems of equations involving such operators has led to the notion of matrix symbol [59, 12 (14), 39, 41]. This notion plays an essential role not only for systems, but also for singular integral operators with piecewise-continuous (scalar) coefficients [44 (4)]. At the same time, attempts to introduce a (scalar or matrix) symbol for other algebras have failed.
Banach Algebras with Symbol and Singular Integral Operators
Banach Algebras with Symbol and Singular Integral Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Banach Algebras with Symbol and Singular Integral Operators write by Naum Krupnik. This book was released on 1987-01-01. Banach Algebras with Symbol and Singular Integral Operators available in PDF, EPUB and Kindle. About fifty years aga S. G. Mikhlin, in solving the regularization problem for two-dimensional singular integral operators [56], assigned to each such operator a func tion which he called a symbol, and showed that regularization is possible if the infimum of the modulus of the symbol is positive. Later, the notion of a symbol was extended to multidimensional singular integral operators (of arbitrary dimension) [57, 58, 21, 22]. Subsequently, the synthesis of singular integral, and differential operators [2, 8, 9]led to the theory of pseudodifferential operators [17, 35] (see also [35(1)-35(17)]*), which are naturally characterized by their symbols. An important role in the construction of symbols for many classes of operators was played by Gelfand's theory of maximal ideals of Banach algebras [201. Using this the ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)]. The investigation of systems of equations involving such operators has led to the notion of matrix symbol [59, 12 (14), 39, 41]. This notion plays an essential role not only for systems, but also for singular integral operators with piecewise-continuous (scalar) coefficients [44 (4)]. At the same time, attempts to introduce a (scalar or matrix) symbol for other algebras have failed.
Singular Integral Operators and Related Topics
Singular Integral Operators and Related Topics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Integral Operators and Related Topics write by A. Böttcher. This book was released on 2012-12-06. Singular Integral Operators and Related Topics available in PDF, EPUB and Kindle. This volume contains a selection of papers on modern operator theory and its applications, arising from a joint workshop on linear one-dimensional singular integral equations. The book is of interest to a wide audience in the mathematical and engineering sciences.
One-Dimensional Linear Singular Integral Equations
One-Dimensional Linear Singular Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-Dimensional Linear Singular Integral Equations write by I. Gohberg. This book was released on 2012-12-06. One-Dimensional Linear Singular Integral Equations available in PDF, EPUB and Kindle. This book is an introduction to the theory of linear one-dimensional singular integral equations. It is essentually a graduate textbook. Singular integral equations have attracted more and more attention, because, on one hand, this class of equations appears in many applications and, on the other, it is one of a few classes of equations which can be solved in explicit form. In this book material of the monograph [2] of the authors on one-dimensional singular integral operators is widely used. This monograph appeared in 1973 in Russian and later in German translation [3]. In the final text version the authors included many addenda and changes which have in essence changed character, structure and contents of the book and have, in our opinion, made it more suitable for a wider range of readers. Only the case of singular integral operators with continuous coefficients on a closed contour is considered herein. The case of discontinuous coefficients and more general contours will be considered in the second volume. We are grateful to the editor Professor G. Heinig of the volume and to the translators Dr. B. Luderer and Dr. S. Roch, and to G. Lillack, who did the typing of the manuscript, for the work they have done on this volume.
Banach Algebras, Singular Integral Operators, and Partial Differential Equations
Banach Algebras, Singular Integral Operators, and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Banach Algebras, Singular Integral Operators, and Partial Differential Equations write by Heinz Otto Cordes. This book was released on 1971. Banach Algebras, Singular Integral Operators, and Partial Differential Equations available in PDF, EPUB and Kindle.
