#7 in Mathematical infinity books
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Reddit mentions of First Course in Wavelets with Fourier Analysis
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Reddit mentions: 1
We found 1 Reddit mentions of First Course in Wavelets with Fourier Analysis. Here are the top ones.
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- Max Sequential Read Up to 550MB/s and Max Sequential Write Up to 515MB/s
- Up to 90,000 IOPS Random 4KB Write
- SATA 3.0 (6Gb/s) interface (backwards compatible with SATA 3Gb/s and 1.5Gb/s)
- TRIM support (OS/driver support required)
- 3.5" desktop adapter bracket included
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It won't always be referred to as "Fourier's theorem". Some texts may refer to it as "completeness of fourier series", or they may prove more general versions of the theorem using Sturm–Liouville theory. Note that "completeness" has a technical definition, but in this context roughly means that any square-integrable periodic function can be described as a (possibly infinite) trigonometric series.
I seem to recall that A First Course in Wavelets with Fourier Analysis was readable & yet not long-winded, and had a fairly rigorous proof of Fourier's theorem by the middle of the second chapter. See Amazon.com. A free PDF from an MIT OpenCourseware that might be of use is here. I skimmed over it; it does prove what you are interested in, but I can't vouch for its readability.