**Functional Analysis**

by Feng Tian, Palle E.T. Jorgensen

**Publisher**: arXiv 2010**Number of pages**: 98

**Description**:

Notes from a course taught by Palle Jorgensen in the fall semester of 2009. The course covered central themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.

Download or read it online for free here:

**Download link**

(670KB, PDF)

## Similar books

**Topics in Real and Functional Analysis**

by

**Gerald Teschl**-

**Universitaet Wien**

This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.

(

**13860**views)

**C*-algebraic Methods in Spectral Theory**

by

**Serge Richard**-

**Nagoya University**

From the table of contents: Linear operators on a Hilbert space; C*-algebras; Crossed product C*-algebras; Schroedinger operators and essential spectrum; Twisted crossed product C*-algebras; Pseudodifferential calculus; Magnetic systems.

(

**8358**views)

**Shape Analysis, Lebesgue Integration and Absolute Continuity Connections**

by

**Javier Bernal**-

**arXiv.org**

As shape analysis is intricately related to Lebesgue integration and absolute continuity, it is advantageous to have a good grasp of the two notions. We review basic concepts and results about Lebesgue integration and absolute continuity.

(

**3185**views)

**Integral Operators**

by

**Leif Mejlbro**-

**BookBoon**

Examples of Hilbert-Smith operators and other types of integral operators, Hilbert Schmidt norm, Volterra integral operator, Cauchy-Schwarz inequality, Hoelder inequality, iterated kernels, Hermitian kernel, and much more.

(

**11001**views)