This will totally not fly past anyone marking assignments, so do not use it in the course work (not without a few pages of explanations). A satisfying trick though.pic.twitter.com/KP0iA3Z3bK
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What's the underlying formalism ? I imagine a transform of some kind
I imagine Fourier transform
Continuous functional calculus, which follows from the Gel'fand representation, which is in a sense a far-reaching generalization of the Fourier transform. So yes. :)
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