An Introduction to Singular Integrals (Other Titles in Applied Mathematics) - Softcover

Jacques Peyrière (author)

Softcover

ISBN 10: 1611975417 ISBN 13: 9781611975413

Publisher: SIAM - Society for Industrial and Applied Mathematics, 2018

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 Calderón–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.

About this title

About the Author

Jacques Peyrière is an emeritus professor of mathematics at Université Paris-Sud (Orsay). He has been head of the Equipe d'Analyse Harmonique (a CNRS team) there for 10 years. Professor Peyrière has published two books and more than 60 articles on harmonic analysis and related topics in mathematical journals, including Duke Mathematical Journal, Advances in Mathematics, and Probability Theory and Related Fields. His research interests are harmonic analysis, probability theory, and fractals.

Edition details

• Publisher: SIAM - Society for Industrial and Applied Mathematics
• Publication date: 2018
• Language: English
• ISBN 10: 1611975417
• ISBN 13: 9781611975413
• Binding: Paperback
• Number of pages: 115