Hypersingular Integrals and Their Applications

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.

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
Applications of Hypersingular Integrals
Hypersingular Integrals in the Theory of Functional Spaces
Solution of
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Hypersingular Integrals and Their Applications

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