Introduction to the theory of one-dimensional singular integral operators

Introduction to the theory of one-dimensional singular integral operators

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LF/641598103/R
Russian
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Introduction to the Theory of One-Dimensional Singular Integral Operators by Gochberg I. C. and Krupnyk N . I. is a unique and in-depth study in the field of mathematical analysis that will be of interest to both professional mathematicians and students seeking to deepen their knowledge in this complex but fascinating field. This work is an important contribution to the theory of singular integral operators, which play a key role in various areas of mathematics, including functional analysis, operator theory, and differential equations. The authors, known for their scientific achievements and publications, offer the reader a systematic approach to understanding one-dimensional singular integral operators, their properties and applications. The book covers both theoretical aspects and practical applications, making it useful for a wide range of readers. In the Introduction to the Theory of One-dimensional Singular Integral Operators, readers will find a detailed explanation of the basic concepts and methods used in this field. The authors pay special attention to key aspects, such as the existence and uniqueness of solutions, the spectral properties of operators and their relationship with various mathematical problems. The reader will be able to see how singular integral operators are used to solve real problems, which adds practical value to the book. Who can like this book? First of all, it will be of interest to students and graduate students of mathematical faculties, as well as teachers who are looking for quality material for their courses . In addition, researchers and practitioners of mathematics working in the field of analysis, operator theory and related disciplines will find in it many useful ideas and approaches. The book can also attract the attention of specialists in mathematical modeling and numerical methods, since singular integral operators are often used in these areas. The topics raised in the book cover a wide range of issues related to singular integral operators. The authors consider both classical results and modern achievements, which allows the reader to get a complete picture of the current state of science. Particular attention is paid to methods of analysis that can be used to solve complex problems, which makes the book relevant and useful for practical application. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily assimilate even the most complex concepts. Gohberg I. C. and Krupnik N. I. are known for their previous works, such as "The Theory of Operators in Hilbert Space" and "Functional Analysis and Its Applications", which have also become classics in their field. Their experience and deep understanding of the subject make this book not only a textbook, but also a real guide to the world of singular integral operators. In conclusion, “Introduction to the theory of one-dimensional singular integral operators” is not just a textbook, but a real find for anyone interested in mathematical analysis and operator theory. This book will be a valuable resource for the study and understanding of complex issues related to singular integral operators, and will help readers develop their knowledge and skills in this fascinating area of mathematics. Do not miss the opportunity to immerse yourself in the world of mathematical theory, which opens before you this wonderful work!
LF/641598103/R

Data sheet

Name of the Author
Гохберг И.Ц.
Крупник Н.Я.
Language
Russian
Release date
1973

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Introduction to the theory of one-dimensional singular integral operators

Introduction to the Theory of One-Dimensional Singular Integral Operators by Gochberg I. C. and Krupnyk N . I. is a unique and in-depth study in the field of ma...

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