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…
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…
Classical Fourier analysis
by Grafakos, Loukas, Grafakos, Loukas
fromGraduate Texts in Mathematics
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood{u2013}Paley th…
"This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines th…