Analysis Seminar: Alexey Tochin

Speaker: Alexey Tochin, PhD sudent, UiB.

 

Title: Rigged Hilbert spaces
 
Abstract: One of the basic result of finite-dimensional linear algebra states that for any self-adjoint or unitary operator there exist a complete system of eigenvectors. The situation becomes more complicated upon passing to the infinite-dimensional case. We consider some examples and possible solutions that involve a construction called Rigged Hilbert space. The same thing appears  in attempts to define normally distributed Gaussian random law in an infinite dimensional linear space. We will try to make the talk understandable for bachelor and master level students.