we could think of the dot product as rectangles of height norm of vectors like a histogram be convolved with another histogram right? so for sure if we did fourier like magic to this, to change its lod, it would give similar result. so i think changing lod of  along with SH or fourier is something to be investigated for its compression with lod capability considering its convolution stuff. for to do SVD similar acts. i think it feels legit to try. though the problem is we need to multiply at least similar count of times or more to get simplifications. so rather it would be nice to

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