**Lecture Notes on the Theory of Distributions**

by Guenther Hoermann, Roland Steinbauer

**Publisher**: Universitaet Wien 2009**Number of pages**: 160

**Description**:

From the table of contents: 1. Test Functions and Distributions; 2. Differentiation, Differential Operators; 3. Basic Constructions; 4. Convolution; 5. Fourier Transform and Temperate Distributions; 6. Regularity; 7. Fundamental Solutions.

Download or read it online for free here:

**Download link**

(890KB, PDF)

## Similar books

**Semi-classical analysis**

by

**Victor Guillemin, Shlomo Sternberg**-

**Harvard University**

In semi-classical analysis many of the basic results involve asymptotic expansions in which the terms can by computed by symbolic techniques and the focus of these lecture notes will be the 'symbol calculus' that this creates.

(

**11157**views)

**Short introduction to Nonstandard Analysis**

by

**E. E. Rosinger**-

**arXiv**

These notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued.

(

**10704**views)

**Advanced Calculus and Analysis**

by

**Ian Craw**-

**University of Aberdeen**

Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.

(

**27374**views)

**Jacobi Operators and Complete Integrable Nonlinear Lattices**

by

**Gerald Teschl**-

**American Mathematical Society**

Introduction and a reference to spectral and inverse spectral theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy. It covers second order difference equations, self-adjoint operators, etc.

(

**11548**views)