• Home /
  • Fundamentals of Fourier Analysis (eBook)

Fundamentals of Fourier Analysis (eBook)

Artikelnummer: 978-3-031-56500-7
Einband: PDF
Verfügbarkeit: Download, sofort verfügbar (Link per E-Mail)
CHF 71.00
decrease increase

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 Analysis), 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.

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 Analysis), 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.
Schreiben Sie Ihre eigene Bewertung
  • Nur registrierte Benutzer können Produkte bewerten
*
*
Schlecht
Sehr gut
*
*
*
*
VerlagSpringer International Publishing
EinbandPDF
Erscheinungsjahr2024
Seitenangabe407 S.
AusgabekennzeichenEnglisch
AbbildungenXVI, 407 p. 29 illus.
Masse6'039 KB
PlattformPDF
ReiheGraduate Texts in Mathematics; Mathematics and Statistics; Mathematics and Statistics
AutorGrafakos, Loukas

Alle Bände der Reihe "Graduate Texts in Mathematics; Mathematics and Statistics; Mathematics and Statistics (R0)"

Über den Autor Loukas Grafakos

Loukas Grafakos is the Mahala and Rose Houchins Distinguished Professor of Mathematics at the University of Missouri at Columbia. He is author of 3 Graduate Texts in Mathematics: Classical Fourier Analysis (GTM 249), Modern Fourier Analysis (GTM 250), and Fundamentals of Fourier Analysis (GTM 302). His research is in Harmonic Analysis.

Weitere Titel von Loukas Grafakos

Produktbewertungen
Nur registrierte Benutzer können Produkte bewerten