Stefan Samko

Hypersingular Integrals and Their Applications

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: CRC Press
• Seitenzahl: 380
• Erscheinungstermin: 25. Oktober 2001
• Englisch
• Abmessung: 260mm x 183mm x 25mm
• Gewicht: 910g
• ISBN-13: 9780415272681
• ISBN-10: 0415272688
• Artikelnr.: 22578969

Autorenporträt

Stefan Samko

Inhaltsangabe

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.