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Tag: Measure Theory

Posted on January 12, 2020April 24, 2021

Convolution: From Probability theory to Fourier analysis (Vol.2)

This post talks about the justification of convolution from measure theory. Measure Theory We first introduce the following three theorems. Theorem 1: Suppose $latex f$…

Continue reading → Convolution: From Probability theory to Fourier analysis (Vol.2)

Posted on January 6, 2020April 24, 2021

Convolution: From Probability theory to Fourier analysis (Vol.1)

After this post, I decided to organize my understanding of convolution in this series. Probability Theory We shall define some concepts and theorems: A function…

Continue reading → Convolution: From Probability theory to Fourier analysis (Vol.1)

Posted on July 22, 2019December 28, 2019

Weekly Reading 1: Beginning

It has been a busy week so far. I just came back from my vacation to Phu Quoc, which is a beautiful island in Vietnam,…

Continue reading → Weekly Reading 1: Beginning

Some music: Una Mattina Album by Ludovico Einaudi

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