I'm doing some experimentation on performing end to end generative modeling in the frequency domain. I've got a working convolutional layer, but do not yet have a Conv2DTranspose equivalent. Please note this is not deconvolution! Unfortunately, my signal processing knowledge is pretty weak at the moment (I'm taking some classes in SP this Fall).
I know convolution is performed in the frequency domain by performing pointwise multiplication. Does transpose convolution have a frequency domain equivalent? If so, what is the correct operation or series of operations to perform here?