Timeline for complex fourier coefficients, introduced by?
Current License: CC BY-SA 3.0
28 events
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| Apr 22, 2021 at 13:46 | vote | accept | nareto | ||
| Jun 9, 2012 at 7:56 | history | edited | Papiro | CC BY-SA 3.0 |
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| Jun 1, 2012 at 15:25 | comment | added | kolik | To be precise it is correct that Zygmund mentions the complex representation. However for the bigger part of the book it is the sin, cos notation which is used. | |
| Jun 1, 2012 at 4:37 | comment | added | Francois Ziegler | @PaPiro: I think kolik means ams.org/mathscinet-getitem?mr=0107776 . However that book does -- like the first edition you quoted before -- contain the complex form: eqs (4.2) and (4.3), pp. 6-7. | |
| Jun 1, 2012 at 4:21 | history | rollback | Andrés E. Caicedo |
Rollback to Revision 19
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| Jun 1, 2012 at 4:19 | history | rollback | Andrés E. Caicedo |
Rollback to Revision 18
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| Jun 1, 2012 at 4:14 | history | edited | Francois Ziegler | CC BY-SA 3.0 |
Streamline and fix dummy variable in integral
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| May 30, 2012 at 1:29 | history | edited | Francois Ziegler | CC BY-SA 3.0 |
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| May 28, 2012 at 13:05 | history | edited | Papiro | CC BY-SA 3.0 |
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| May 28, 2012 at 12:08 | comment | added | Papiro | The first equation (equation (1), pp. 3) of "Location of Best Approximation", S. Bochner, published in Zygmund's "Contributions to Fourier Analysis", Princeton Univ. Press, 1950, IS the complex Fourier serie... (see archive.org/stream/contributionstof030473mbp#page/n13/mode/2up) Are you referring to this book? | |
| May 27, 2012 at 23:40 | comment | added | kolik | I cannot comment because I don't have enough reputation, but here is the remark: In Zygmund's classical treatise on Fourier series, the complex exponential is not used. His book was published in the 50's. Thus, Kahane is (obviously) right, the complex representation did not come to prevail well until the 20-th century. I find it curious myself. | |
| May 27, 2012 at 14:55 | history | edited | Papiro | CC BY-SA 3.0 |
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| May 24, 2012 at 14:41 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 12, 2012 at 12:27 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 12, 2012 at 12:19 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 10, 2012 at 15:35 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 10, 2012 at 15:24 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 10, 2012 at 15:11 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 10, 2012 at 0:16 | comment | added | Barry Cipra | Here's a link for the paper by Séguier: archive.numdam.org/article/NAM_1892_3_11__299_1.pdf | |
| Apr 10, 2012 at 0:10 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 9, 2012 at 22:53 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 9, 2012 at 19:13 | history | edited | Boris Bukh | CC BY-SA 3.0 |
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| Apr 9, 2012 at 16:08 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 9, 2012 at 15:53 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 8, 2012 at 12:04 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 7, 2012 at 1:19 | history | edited | Papiro | CC BY-SA 3.0 |
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| Apr 7, 2012 at 1:09 | history | answered | Papiro | CC BY-SA 3.0 |