Talk:Harmonic analysis

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
WikiProject Mathematics (Rated Start-class, Top-priority)
WikiProject iconThis article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
Start-Class article Start  This article has been rated as Start-Class on the project's quality scale.
 Top  This article has been rated as Top-priority on the project's priority scale.


See note on Talk:Pontryagin duality on plans for this page, probably to be implemented in the next week. AndrewKepert 01:15, 19 Nov 2003 (UTC)

Merging with Fourier Analysis[edit]

Whether or not this page is going to be merged with fourier analysis, please note that the article for Non-sinusoidal waveforms has a link that says "Fourier Analysis" but is actually a link to "Harmonic Analysis"

It seems appropriate to keep harmonic analysis separate from fourier analysis. Although they have a significant overlap, harmonic analysis could also include wavelet analysis and other generalized representations. Willem 23:18, 22 January 2007 (UTC)
This article, as currently written, fails to present harmonic analysis in anything except a very basic, naive form. See the above comment (from 2003) about Pontryagin duality as an example of what is missing from this page. (OK, so Pontryagin duality is roughly speaking a fourier transform in a general setting) (talk) 05:36, 7 November 2020 (UTC)

External links[edit]

  • Download the freeware program Harmo 1.0 [1] with source in Delphi.

It's not spam link, it's a program that I developed about Harmonic Analysis and I think it could be useful for anyone interested in implementation using Delphi or any other programming language.User:Prof.Maque 19:48, 8 august 2007 (UTC)

So, you're using a Wikipedia article to promote your own program? Ah. And there's no way of knowing its actual function without first downloading it. Sorry, but I'm not convinced it belongs here. --Mark H Wilkinson (t, c) 20:21, 8 August 2007 (UTC)

I have no commercial interest since I'm not a professional programmer. My intention is to help those that, like me, had a hard time to translate the theoretical books to a practical implementation. Anyone that decides to download a program knows the risks involved. If you persist with your opinion I will not continue undoing because, as I said, I'm have no selfish interest on this. Please reconsider. Thank you. User:Prof.Maque 20:38, 8 august 2007 (UTC)

The guidelines on advertising extend to non-profit cases. I'm sorry, but as it stands, I remain unconvinced it benefits or is appropriate to the article. --Mark H Wilkinson (t, c) 20:46, 8 August 2007 (UTC)

Applications to neuroscience ?[edit]

Quoting : "In the past two centuries, it has become a vast subject with applications in areas as diverse as signal processing, quantum mechanics, and neuroscience." Could someone expand on the applications to neuroscience ? It sound very interesting. Thanks. zermalo (talk) 08:55, 28 February 2009 (UTC)


can somebody make a list of harmonics corresponding to various groups. in the book commutative harmonic analysis, it is said that various groups correspond with various transforms, like the mellin transform beyond fourier transforms. —Preceding unsigned comment added by (talk) 02:58, 10 July 2010 (UTC)

Yes, you are right; this article as currently written is fundamentally flawed. This needs fixing. (talk) 05:30, 7 November 2020 (UTC)


For whom are these Mathematics pages intended?

Do you have any idea how totally opaque they are to anyone who is not at least a Math graduate student? Wikipedia was supposed to be a resource for all netizens, but it appears to have been hijacked by Math pedants.

If this is how things are going to be, can we have at least have links to pages for those of us more interested in applications than in proofs?

Hsfrey (talk) 05:36, 19 July 2014 (UTC)

Assessment comment[edit]

The comment(s) below were originally left at Talk:Harmonic analysis/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.
Needs information on history, motivation, examples, links with Fourier transform. Tompw 17:55, 7 October 2006 (UTC) What about the Mechanical Computers by Albert Michelson <Mechanical Engineering July 2015 page 64 -> — Preceding unsigned comment added by (talk) 15:51, 19 June 2015 (UTC)

Last edited at 15:52, 19 June 2015 (UTC). Substituted at 02:10, 5 May 2016 (UTC)

This characterization of harmonic analysis isn't accurate at all[edit]

This page seems to be reading too much into the word "harmonic" in the name of the field. While it is true that a common tool is studying functions in the frequency domain, it is silly to suggest that harmonic analysts study the Fourier transform itself. In fact many current areas of research in harmonic analysis don't have any direct connection to Fourier analysis at all. See the introduction in this article: by Terence Tao, perhaps the leading name in the field today. — Preceding unsigned comment added by (talk) 07:31, 6 February 2019 (UTC)

I agree 1000% Back when I last read about harmonic analysis, the text as I recall presented it as eigenfunctions of the Laplacian on symmetric spaces, (or is that potential theory?) so this article as currently written is kind of a punch in the face. (talk) 05:27, 7 November 2020 (UTC)