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Mathematics. Articles in English (et en français dans le futur).

A long exact sequence of cohomology groups (zig-zag and diagram-chasing)

2020-09-27 Algebra Homological Algebra
# Diagram-chasing# Differential complex
A long exact sequence of cohomology groups (zig-zag and diagram-chasing)

The Fourier transform of sinx/x and (sinx/x)^2 and more

In this post we compute the Fourier transform of $\sin{x}/x$ and $(\sin{x}/x)^2$ through contour integration.
2020-09-24 Analysis Complex Analysis
# Exercise solution# Fourier transform# Hot post
The Fourier transform of sinx/x and (sinx/x)^2 and more

The Riesz-Markov-Kakutani Representation Theorem

In this post we develop a proof of the Riesz-Markov-Kakutani theorem on a locally compact Hausdorff space, which is the essential of the existence of the Lebesgue measure.
2020-09-19 Analysis Functional Analysis Linear Functional Integration Theory
# Partition of unity# Riesz# Locally compact
The Riesz-Markov-Kakutani Representation Theorem

The Big Three Pt. 4 - The Open Mapping Theorem (F-Space)

2020-09-12 Analysis Functional Analysis
# The big three
The Big Three Pt. 4 - The Open Mapping Theorem (F-Space)

The completeness of the quotient space (topological vector space)

2020-09-03 Analysis Functional Analysis Topological Vector Space
# Walter Rudin# Functional Analysis# Study new content
The completeness of the quotient space (topological vector space)