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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
Inverse Spectral Problems for Linear Differential Operators and Their Applications
Fractional Integrals, Potentials, and Radon Transforms
Integral Methods in Science and Engineering, Volume 2
Theory and Applications of Special Functions for Scientists and Engineers
Analytical Methods in Applied Mathematics
Regularization Algorithms for Ill-Posed Problems
I-Function and Its Applications
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics
Distributions, Partial Differential Equations, and Harmonic Analysis