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

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

42-XX Fourier analysis.

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42-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

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

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

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

42A05 Trigonometric polynomials, inequalities, extremal problems

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

42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series

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

42A20 Convergence and absolute convergence of Fourier and trigonometric series

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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)

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

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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)

42A75 Classical almost periodic functions, mean periodic functions

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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)[reply]

42A99 Miscellaneous

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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)[reply]
CryptoDerk 03:24, Feb 3, 2005 (UTC)

42Axx Fourier analysis in one variable

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42B05 Fourier series and coefficients

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

42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

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42Bxx Fourier analysis in several variables

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42C05 Orthogonal functions and polynomials, general theory

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

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

42C99 Miscellaneous

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

42Cxx Nontrigonometric Fourier analysis

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