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math.FA2022
Integral transforms characterized by convolution
Mateusz Krukowski
Inspired by Jaming's characterization of the Fourier transform on specific groups via the convolution property, we provide a novel approach which characterizes the Fourier transfor…
math.FA2022
From Schwartz space to Mellin transform
Mateusz Krukowski
The primary motivation behind this paper is an attempt to provide a thorough explanation of how the Mellin transform arises naturally in a process akin to the construction of the c…