Wikipedia:WikiProject Mathematics/PlanetMath Exchange/42-XX Fourier analysis

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This page provides a list of all articles available at PlanetMath in the following topic:

42-XX Fourier analysis.

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C copied
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NM needs merging
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[edit] 42-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

CryptoDerk 21:27, Feb 2, 2005 (UTC)

[edit] 42-01 Instructional exposition (textbooks, tutorial papers, etc.)

CryptoDerk 21:37, Feb 2, 2005 (UTC)

[edit] 42A05 Trigonometric polynomials, inequalities, extremal problems

CryptoDerk 21:59, Feb 2, 2005 (UTC)

[edit] 42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series

CryptoDerk 23:05, Feb 2, 2005 (UTC)
CryptoDerk 01:56, Feb 3, 2005 (UTC)

[edit] 42A20 Convergence and absolute convergence of Fourier and trigonometric series

The PM article is actually fairly ambiguous. It states truths, but doesn't really give a hard definition for the conditions. CryptoDerk 02:31, Feb 3, 2005 (UTC)
  • PM: Wiener algebra, id=9748new! -- WP guess: Wiener algebra -- Status:

[edit] 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

Kind of spread out amongst various articles, including continuous Fourier transform and related articles linked to from the main Fourier transform article. CryptoDerk 02:51, Feb 3, 2005 (UTC)

[edit] 42A75 Classical almost periodic functions, mean periodic functions

CryptoDerk 02:54, Feb 3, 2005 (UTC)
Added to WP article some content motivated by this PM article. Ben Cairns 11:29, 18 April 2006 (UTC)

[edit] 42A99 Miscellaneous

Entry is locked on PM. The author states "The reason that the entry is now inaccessible, when I adopted it from the orphanage, the proof contains serious errors, so I turned off access to it until I had a chance to replace it with a correct proof. This was done so that noone would be misled by an erroneous entry. I had left the project of repairing this proof on the back burner for a while, but now I will get back to it. As soon as I am done, I will make the entry accessible again and let you know." CryptoDerk 04:33, Feb 3, 2005 (UTC)
A new proof is now available on PM. Ben Cairns 12:53, 18 April 2006 (UTC)
CryptoDerk 03:24, Feb 3, 2005 (UTC)

[edit] 42Axx Fourier analysis in one variable

[edit] 42B05 Fourier series and coefficients

CryptoDerk 03:44, Feb 3, 2005 (UTC)
CryptoDerk 03:59, Feb 3, 2005 (UTC)

[edit] 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

[edit] 42Bxx Fourier analysis in several variables

[edit] 42C05 Orthogonal functions and polynomials, general theory

[edit] 42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

Ben Cairns 12:03, 18 April 2006 (UTC)

[edit] 42C99 Miscellaneous

Copied both Riesz sequence and Riesz basis to WP article. Ben Cairns 12:46, 18 April 2006 (UTC)

[edit] 42Cxx Nontrigonometric Fourier analysis