The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as …

Functional analysis helps us study and solve both linear and nonlinear problems posed on a normed space that is no longer finite-dimensional, a situation that arises very naturally in many …

After all, the development of quantum mechanics and functional analysis are intimately related. Consider then the hydrogen atom and its “spectrum”: we know it has bound states of negative …

This article is a tutorial introduction to the functional analysis mathematics needed in many physical problems, such as in waves in continuous media. This mathematics takes us beyond …

Much of the material and inspiration came from Larry Brown’s lectures on functional analysis at Purdue University in the 1990s, and some came from my Reed thesis 1987.

Functional analysis, Branch of mathematical analysis dealing with functionals, or functions of functions. It emerged as a distinct field in the 20th century, when it was realized that diverse …

Since most of the spaces we study are function spaces, like C(M), the functions defined on them are “functionals.” Thus “functional analysis” is the analysis of functions defined on function …

These notes are intended to familiarize the student with the basic concepts, principles and methods of functional analysis and its applications, and they are intended for senior …

Functional analysis is concerned with the study of functions and function spaces, combining techniques borrowed from classical analysis with algebraic techniques. Modern functional …

The spectrum of a linear di erentiable operator is used when solving a di erential equation via the method of stationary states. Functional calculus (actually the exponential) is also useful when …