Loukas Grafakos
Fundamentals of Fourier Analysis
Fundamentals of Fourier Analysis
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- More about Fundamentals of Fourier Analysis
Euclidean Fourier Analysis is a graduate-level text that provides sufficient content for a two-course sequence in Fourier Analysis or Harmonic Analysis. It offers a more classroom-friendly approach with shorter sections, refined proofs, and a wider range of exercises, covering topics such as the Fourier Transform, Multipliers, Singular Integrals, Littlewood–Paley Theory, BMO, Hardy Spaces, and Weighted Estimates.
Format: Hardback
Length: 407 pages
Publication date: 22 July 2024
Publisher: Springer International Publishing AG
Euclidean Fourier Analysis is a comprehensive graduate-level text that introduces students to the theory and applications of Fourier analysis. It assumes a solid foundation in real analysis and complex variables and provides sufficient content for a two-course sequence in Fourier analysis or harmonic analysis. Each chapter includes a selection of exercises with targeted hints, carefully presented proofs, and examples to enhance understanding. The text also includes appendices with background material and a wider range of exercises compared to the authors' other GTM volumes. The topics covered include the Fourier transform, multipliers, singular integrals, Littlewood-Paley theory, BMO, Hardy spaces, and weighted estimates, which can be easily covered within two semesters. The text's classroom-friendly approach includes shorter sections, refined proofs, and a wider range of exercises, making it an ideal resource for graduate students in mathematics and related fields.
Weight: 782g
Dimension: 242 x 162 x 31 (mm)
ISBN-13: 9783031564994
Edition number: 2024 ed.
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