Fundamentals of Fourier Analysis

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
ISBN
9783031564994
Category

About this product

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3031564995
ISBN-13
9783031564994
eBay Product ID (ePID)
2336607743

Product Key Features

Number of Pages
Xvi, 407 Pages
Publication Name
Fundamentals of Fourier Analysis
Language
English
Subject
General, Mathematical Analysis
Publication Year
2024
Type
Textbook
Author
Loukas Grafakos
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Dewey Edition
23
Series Volume Number
302
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.2433
Table Of Content
1 Introductory Material.- 2 Fourier Transforms, Tempered Distributions, Approximate Identities.- 3 Singular Integrals.- 4 Vector-Valued Singular Integrals and Littlewood-Paley Theory.- 5 Fractional Integrability or Differentiability and Multiplier Theorems.- 6 Bounded Mean Oscillation.- 7 Hardy Spaces.- 8 Weighted Inequalities.- Historical Notes.- Appendix A Orthogonal Matrices.- Appendix B Subharmonic Functions.- Appendix C Poisson Kernel on the Unit Strip.- Appendix D Density for Subadditive Operators.- Appendix E Transposes and Adjoints of Linear Operators.- Appendix F Faa di Bruno Formula.- Appendix G Besicovitch Covering Lemma.- Glossary.- References.- Index.
Synopsis
This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variables. It provides sufficient content for a two course sequence in Fourier Analysis or Harmonic Analysis at the graduate level. In true pedagogical spirit, each chapter presents a valuable selection of exercises with targeted hints that will assist the reader in the development of research skills. Proofs are presented with care and attention to detail. Examples are provided to enrich understanding and improve overall comprehension of the material. Carefully drawn illustrations build intuition in the proofs. Appendices contain background material for those that need to review key concepts. Compared with the author's other GTM volumes ( Classical Fourier Analysis and Modern Fourier Analysi s), this text offers a more classroom-friendly approach as it contains shorter sections, more refined proofs, and a wider range of exercises. Topics include the Fourier Transform, Multipliers, Singular Integrals, Littlewood-Paley Theory, BMO, Hardy Spaces, and Weighted Estimates, and can be easily covered within two semesters.
LC Classification Number
QA403.5-404.5

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