Hypersingular Integrals and Their Applications

1st Edition

Stefan Samko

CRC Press
Published October 25, 2001
Reference - 378 Pages
ISBN 9780415272681 - CAT# TF1397
Series: Analytical Methods and Special Functions

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Summary

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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