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An Introduction to Singular Integrals

Other Titles in Applied Mathematics

By (author) Jacques Peyriere
Format: Paperback / softback
Publisher: Society for Industrial & Applied Mathematics,U.S., New York, United States
Published: 30th Jan 2019
Dimensions: w 150mm h 150mm d 20mm
Weight: 295g
ISBN-10: 1611975417
ISBN-13: 9781611975413
Barcode No: 9781611975413
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Synopsis
In just over 100 pages, this book provides basic, essential knowledge of some of the tools of real analysis: the Hardy-Littlewood maximal operator, the Calderon-Zygmund theory, the Littlewood-Paley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students. An Introduction to Singular Integrals is meant to give first-year graduate students in Fourier analysis and partial differential equations an introduction to harmonic analysis. While some background material is included in the appendices, readers should have a basic knowledge of functional analysis, some acquaintance with measure and integration theory, and familiarity with the Fourier transform in Euclidean spaces.

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