I'm just taking Calculus 4 this semester, where part of it is also Fourier analysis.(adsbygoogle = window.adsbygoogle || []).push({});

When I was browsing a little bit about the subject I found out that there are several different approaches and so I'm a bit confused now.

So this is how I understand it, correct me if I'm wrong:

There is the approach of pointwise convergence (which we are taking) and the approach of convergence in L^2 (is this called the weak convergence or is it something completely different?). Now the Fourier series can converge in the L^2 space but not pointwise and vice-versa.

Did I get it correct?

Another question is: What is a good book on Fourier analysis from the pointwise point-of-view on the level like Rudin's Principles of math. analysis?

Thanks

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fourier analysis

Loading...

Similar Threads - Fourier analysis | Date |
---|---|

I Motivation for Fourier series/transform | Oct 17, 2016 |

I Lebesgue measure and Fourier theory | May 6, 2016 |

2d fourier analysis of shapes | Aug 18, 2011 |

Fourier analysis question | Jun 21, 2010 |

Fourier analysis of a Lorentzian/Cauchy/Breit–Wigner distribution | Nov 3, 2009 |

**Physics Forums - The Fusion of Science and Community**