Riesz–Fischer theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 29/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Riesz%E2%80%93Fischer_theorem


00:00:33 1 Modern forms of the theorem
00:06:17 2 Example
00:08:40 3 History: the Note of Riesz and the Note of Fischer (1907)
00:13:05 4 Completeness of iL/isupip/i/sup, &#160;0&#160;&lt; ip/i&#160;&#8804; ∞



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SUMMARY
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In mathematics, the Riesz–Fischer theorem in real analysis is any of a number of closely related results concerning the properties of the space L2 of square integrable functions.  The theorem was proven independently in 1907 by Frigyes Riesz and Ernst Sigismund Fischer.
For many authors, the Riesz–Fischer theorem refers to the fact that the Lp spaces from Lebesgue integration theory are complete.