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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
Hypersingular Integral Equations and Their Applications
Special Techniques For Solving Integrals: Examples And Problems
Inverse Problems for Integro-differential Operators
Regularization Algorithms for Ill-Posed Problems
Fractional Integrals, Potentials, and Radon Transforms
Integral Methods in Science and Engineering, Volume 2
Inverse Spectral Problems for Linear Differential Operators and Their Applications
Foundations of Potential Theory
Theory and Applications of Special Functions for Scientists and Engineers
Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
Integral Representations For Spatial Models of Mathematical Physics
Analytical Methods in Applied Mathematics
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