Hypersingular Integrals and Their Applications

Informationen zum Autor Stefan Samko Klappentext Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before building more sophisticated ideas, and his discussions include a description of hypersingular integrals as they relate to functional spaces. Hypersingular Integrals and Their Applications also presents recent results and applications that will prove valuable to graduate students and researchers working in mathematical analysis. Zusammenfassung This volume presents a comprehensive treatment of hypersingular integrals and their applications. Hypersingular integrals arise as constructions inverse to potential type operators and are realised by these approaches: method of regularization; method of finite differences. Inhaltsverzeichnis Part I: Hypersingular Integrals and Their Applications. Some Basics from the Theory of Special Functions and Operator Theory. The Reisz Potential Operator and the Lizorkin Type Invarient Spaces. Hypersingular Integrals with Constant Characteristics Potentials and Hypersingular Integrals with Non-Homogenous Characteristics. Hypersingular Integrals on the Unit Sphere. Part II: Applications of Hypersingular Integrals. Hypersingular Integrals in the Theory of Functional Spaces. Solution of Multidimensional Integral Equations of the First Kind with a Potential Type Kernel. Hypersingular Operators as Positive Fractional Powers of Some Operators of Mathematical Physics. Regularization of Integral Equations of the First Kind with a Potential Type Kernel Applications to Function Spaces on a Sphere. Some Modifications of Hypersingular Integrals and Their Applications.

Product details

• Authors: E. Moiseev, S. Samko, S. (University of Algarve Samko, S.g. Samko, Samko Samko, Stefan Samko, Stefan (Faculdade De Ciencias E Tecnologia Samko, Stefan (University of Algarve Samko, Samko Stefan
• Assisted by: H.-J. Glaeske (Editor of the series), E. Moiseev (Editor of the series), Megumi Saigo (Editor of the series), Stefan Samko (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 25.10.2001
• EAN: 9780415272681
• ISBN: 978-0-415-27268-1
• No. of pages: 378
• Dimensions: 185 mm x 262 mm x 30 mm
• Series: Analytical Methods and Special; Analytical Methods and Special Functions; Analytical Methods and Special Functions
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis