A Hilbert space is an infinite dimensional functional space. That is to say, it is a vector space composed of an infinite set of orthogonal functions. The orthogonality of a Hilbert space is defined by the integral over the appropriate interval of the...

The mathematical concept of a Hilbert space, named after the German mathematician David Hilbert, generalizes the notion of Euclidean space in a way that extends methods of vector algebra from the two-dimensional plane and three-dimensional space to...