3 papers
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…
math.FA2016
Short note on Smithson's paper concerning Arzelà-Ascoli theorem for multifunctions
Mateusz Krukowski
As indicated in the title, this paper was inspired by Smithson's work on Arzelà-Ascoli theorem. Up to this point, the author's interest in the topic has led him to generalize Arzel…