This is a simple question. Fourier analysis gives us the DFT, which is known as a global transform of a signal. In contrast, the Discrete Wavelet Transform (DWT) has a plethora of wavelets, all of which fall under the umbrella of local transforms.
I wonder, might there be other global transforms besides projection onto a family of orthogonal complex exponentials as with the DFT?
(I am aware of the DST and DCT, however I am looking for applicable non-sinusoidal bases).