The Big Three Pt. 6 - Closed Graph Theorem with Applications
The Big Three Pt. 6 - Closed Graph Theorem with Applications
Partition of Unity on Different Manifolds (Part 1. Introduction)
Partition of Unity on Different Manifolds (Part 1. Introduction)
A proof of the ordinary Gleason-Kahane-Żelazko theorem for complex functionals
A proof of the ordinary Gleason-Kahane-Żelazko theorem for complex functionals
The Big Three Pt. 5 - The Hahn-Banach Theorem (Dominated Extension)
The Big Three Pt. 5 - The Hahn-Banach Theorem (Dominated Extension)
A long exact sequence of cohomology groups (zig-zag and diagram-chasing)
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.
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.
The Riesz-Markov-Kakutani Representation Theorem
The Big Three Pt. 4 - The Open Mapping Theorem (F-Space)
The Big Three Pt. 4 - The Open Mapping Theorem (F-Space)