Uncovering the Structure of the Fourier Transform: From Theory to MATLAB @JoelRosenfeld
Uncovering the Structure of the Fourier Transform: From Theory to MATLAB  @JoelRosenfeld
Uploaded August 2025 | Updated September 2026, 12 hours ago
We use deep understanding of Hilbert space and operator theory to dissect the Fourier Transform and extract its eigenfunctions numerically in MATLAB.

//Discord

Come by and chat about Mathematics, Data Science, and Functional Analysis!
discord.gg/k9ZAzTkWvW

//Books

Hunter and Nachtergaele - Applied Analysis
amzn.to/3FX9qdI (Amazon)
https://www.math.ucdavis.edu/~hunter/book/pdfbook.html (Free PDF)

Walter Rudin - Principles of Mathematical Analysis
amzn.to/3G3RuxX (Amazon)

J. R. Higgins - Sampling Theory in Fourier and Signal Analysis
amzn.to/3Zz5p5N (Amazon)

Zigmund - Trigonometric Series
amzn.to/4l70Jwa (Amazon)

Wendland - Scattered Data Approximation
amzn.to/3ZAqYTD (Amazon)



DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!
Uncovering the Structure of the Fourier Transform: From Theory to MATLABA fistful of samples - Nyquist and the Wagon Wheel EffectSampling theory and why I reject a lot of papersDoctors dont know math... #shortsTomography - Discrete Fourier Transfroms and Other Discrete OperatorsEssential Math for a PhD in the U.S. #phdlife #mathematicsWhat is a delta function? From distributions to reproducing kernels.The first line is WRONG #SHORTSIntro to Operator Theory : Adjoints and Inverses#BulletTalk - Forced to do this in 3 minutes - Dynamic Mode Decompositions with Liouville Operatorswhat is tenure EXACTLYThe Bahamas, Occupation Kernels, and System Identification
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Uncovering the Structure of the Fourier Transform: From Theory to MATLAB

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