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Hypersingular integrals and their applications /

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This volume presents a comprehensive treatment of hypersingular integrals and their applications. Hypersingular integrals arise as constructions inverse to potential type operators and are realized by these approaches: methods of regularization, method of finite differences. The development of these...

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Bibliographic Details
Main Author: Samko, S. G. (Stefan Grigorʹevich)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: London : Taylor and Francis, 2002.
Series:Analytical methods and special functions ; v. 5.
Subjects:
Singular integrals.
Intégrales singulières.
Singular integrals
Singuläres Integral
Operadores (teoria)
Operadores integrais.
Teoria do potencial.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Pt. 1. Hypersingular integrals. Ch. 1. Some basics from the theory of special functions and operator theory. Ch. 2. The Riesz potential operator and Lizorkin type invariant spaces [Phi][subscript v]. Ch. 3. Hypersingular integrals with constant characteristics. Ch. 4. Potentials and hypersingular integrals with homogeneous characteristics. Ch. 5. Hypersingular integrals with non-homogeneous characteristics. Ch. 6. Hypersingular integrals on the unit sphere
  • Pt. 2. Applications of hypersingular integrals. Ch. 7. Characterization of some function spaces in terms of hypersingular integrals. Ch. 8. Solution of multidimensional integral equations of the first kind with a potential type kernel. Ch. 9. Hypersingular operators as positive fractional powers of some operators of mathematical physics. Ch. 10. Regularization of multidimensional integral equations of the first kind with a potential type kernel. Ch. 11. Some modifications of hypersingular integrals and their applications