Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Poisson Summation Formula; Uncertainty Principles: Heisenberg, Benedicks, Amrein-Berthier, Donoho-Stark, Tao.
- Hardy-Littlewood Maximal function: weak(1,1) and L^p inequalities. The method of Maximal functions for a.e. convergence. Marcinkeiwicz Interpolation.
- Norm convergence (Fourier series and Integrals). The Hilbert Transform, Calderon-Zygmund Decomposition.
- Interpolation of Operators. Hausdorff-Young Theorem. Khinchine’s inequality. Best possible indices.
- Dirichlet’s Theorem. Roth’s Theorem.
- E. M. Stein and R. Shakarchi, Fourier Analysis, Princeton University Press (2003).
- J. Douandikoetxea, Fourier Analysis, American Mathematical Society (2001).
- E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean spaces, Princeton
University Press (1971).
- In addition, Some notes and papers.
