Fourier Analysis, vt 2004

 
 
 
 
Tid Lokal Rubriker Avsnitt i bok:
Stein-Shakarchi
 10/2 3721   The wave equation. The heat equation.
 The Laplace equation in the disk.
pages: 1--28.
 17/2 3721 Fourier series. Ces\`aro and Abel summability.
Summation kernels: Dirichlet and F\'ejer.
pages: 29--67.
Hemuppgifter 1.
24/2  3721  Hilbert spaces for Fourier series.
Orthogonal decompositions.
pages: 69--99.
 2/3  3721 Divergence of Fourier series. pages: 83--99.
 9/3 3721   Applications of Fourier series. The isoperimetric
 problem. Weyl's equidistribution theorem.
pages: 100--113.
Hemuppgifter 2.
 16/3 3721 Continuous nowhere differentiable functions.
The heat equation on the circle. 
pages: 113--120.
23/3  3721 The Fourier transform on the reals. pages: 129--145.
 20/4  3721  The Fourier transform on the reals, cont. pages 145--161.
Hemuppgifter 3.
27/4 3721  The Fourier transform on R^d. pages: 176--184, 
196--207.
4/5 3721 Finite Fourier analysis.  pages: 218--236.
Hemuppgifter 4.
 11/5 3721  Primes in arithmetic progressions.  pages: 241--275.
 18/5 3721 Repetition. pages: 1--275.