Análise Harmónica - 2º Semestre 2019/2020

Bibliografia

Principal:

  • G. Folland, "Real Analysis: Modern Techniques and Applications", 2nd Ed., John Wiley & Sons, 1999.
  • Y. Katznelson, "An Introduction to Harmonic Analysis", 1st Ed., Dover, 1976 ou 2nd Ed., Cambridge Univ. Press, 2004.
  • J. Duoandikoetxea, "Fourier Analysis", AMS, 2001.
  • L. Grafakos, "Classical Fourier Analysis", 3rd Ed., Springer, 2014.

Bibliografia adicional relevante:

  • Rudin, "Real and Complex Analysis", 3rd ed., McGraw-Hill, 1987.
  • Zygmund, "Trigonometric Series", Cambridge Univ. Press, 1959.
  • E. Stein, "Singular Integrals and Differentiablity Properties of Functions", Princeton Univ. Press, 1970.
  • E. Stein, G. Weiss, "Introduction to Fourier Analysis on Euclidean Spaces", Princeton Univ. Press, 1971.
  • E. Stein, "Harmonic Analysis", Princeton Univ. Press, 1993.
  • A. Torchinsky, "Real-Variable Methods in Harmonic Analysis", Academic Press, 1986 ou Dover, 2004.
  • C. Muscalu, W. Schlag, "Classical and Multilinear Harmonic Analysis: Volume 1", Cambridge Univ. Press, 2013.

Bibliografia expositória sobre Análise Harmónica: