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Is the following true?
The convolution of two infinitely differentiable as well as integrable real functions can be nowhere discontinuouscontinuous.
A reference/proof idea would be very helpful.
The convolution of two infinitely differentiable as well as integrable real functions can be nowhere discontinuous.
The convolution of two infinitely differentiable as well as integrable real functions can be nowhere continuous.
The convolution of two infinitely differentiable real functions can be nowhere discontinuous.