Classical and Modern Fourier Analysis

Classical and Modern Fourier Analysis

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Description

For graduate-level courses in Fourier or Harmonic Analysis.Designed specifically for students (rather than researchers), this introduction to Fourier Analysis starts where the real and complex first-year graduate classes end. Students gain a solid foundation in basic concepts through detailed, user-friendly explanations, acquire deeper understanding by working through a variety of examples and exercises, and broaden their applied perspective by reading about recent developments and advances in the subject.show more

Product details

  • Hardback | 870 pages
  • 182 x 232 x 40mm | 1,542.23g
  • Pearson Education (US)
  • Pearson
  • United States
  • English
  • 013035399X
  • 9780130353993

Table of contents

Prolegomena. 1. L p Spaces and Interpolation. 2. Maximal Functions, Fourier Transform, and Distributions. 3. Fourier Analysis on the Torus. 4. Singular Integrals of Convolution Type. 5. Littlewood-Paley Theory and Multipliers. 6. Smoothness and Function Spaces. 7. BMO and Carleson Measures. 8. Singular Integrals of Nonconvolution Type. 9. Weighted Inequalities. 10. Boundedness and Convergence of Fourier Integrals. Bibliography. Index of Notation. Index.show more

About Loukas Grafakos

Loukas Grafakos is a native of Athens, Greece. He earned his doctoral degree at UCLA and is currently a Professor of Mathematics at the University of Missouri. He has taught at Yale University and Washington University in St. Louis and he has also held visiting positions at the Mathematical Sciences Research Institute in Berkeley and the University of Pittsburgh. He has been named a Kemper Fellow for Excellence in Teaching and he has authored or co-authored over forty research articles in Fourier analysis. An avid traveler, he has visited over one hundred countries and has given many international lectures.show more