Know your brain!

Aside from mathematics, I have other interests. Ever since I started to use my brain for mathematics, I am interested about how thinking works. Since problem solving is my day job, I have plenty of opportunities to observe my cognitive processes and I have a passion for optimizing my brainworks. Thinking about thinking is a … More Know your brain!

Spectral theory, part I: The moment problem and the spectral measure

Let’s briefly recall what I am about to do here. If is a measure supported on the real line and the -th orthonormal polynomial is denoted with , then, as we have seen before, there are positive numbers and real numbers such that , which is called the three-term recursion. I asked the question that … More Spectral theory, part I: The moment problem and the spectral measure