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What is Convolution of Measures Explained about?

This document discusses three methods for computing the convolution of two measures: (1) directly from the definition, (2) by approximating the measures as limits of absolutely integrable functions, and (3) using Fourier transforms. It then provides an example computing the convolution of two singular measures supported on horizontal and vertical intervals, showing the convolution is an absolutely continuous measure with a density function supported on the unit square.

Author

曹琪勇

Language

EN