
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
Mathematical Methods for Economic Theory: a tutorialby Martin J. Osborne - University of Toronto
This tutorial covers the basic mathematical tools used in economic theory. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential and difference equations. Knowledge of elementary calculus is assumed.
(22595 views)
Short introduction to Nonstandard Analysisby 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.
(15109 views)
Nonstandard Analysisby J. Ponstein
This book is concerned with an attempt to introduce the infinitesimals and the other 'nonstandard' numbers in a naive, simpleminded way. Nevertheless, the resulting theory is hoped to be mathematically sound, and to be complete within obvious limits.
(15046 views)
Special Functions and Their Symmetries: Postgraduate Course in Applied Analysisby Vadim Kuznetsov, Vladimir Kisil - University of Leeds
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.
(18263 views)