Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift
By: by Georgii S. Litvinchuk
Series: Mathematics and Its Applications -- 523; Mathematics and Its Applications -- 523.
Publisher: Springer Netherlands; Imprint; Springer
Published: 2000
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 396
ISBN-13: 9789401143639
Description: This book is devoted to the solvability theory of characteristic singular integral equations and corresponding boundary value problems for analytic functions with a Carleman and non-Carleman shift. The defect numbers are computed and the bases for the defect subspaces are constructed. Applications to mechanics, physics, and geometry of surfaces are discussed. The second part of the book also contains an extensive survey of the literature on closely related topics. While the first part of the book is also accessible to engineers and undergraduate students in mathematics, the second part is aimed at specialists in the field.