Distribution, Integral Transforms and Applications

✍ Scribed by W. Kierat (Author); Urszula Sztaba (Author)

Publisher: CRC Press
Year: 2003
Leaves: 158
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The theory of distributions is most often presented as L. Schwartz originally presented it: as a theory of the duality of topological vector spaces. Although this is a sound approach, it can be difficult, demanding deep prior knowledge of functional analysis. The more elementary treatments that are available often consider distributions as limits o

✦ Table of Contents

Definitions and Preliminaries. Local Properties of Distribution. Tensor Products and Convolution Products. Differential Equations. Particular Types of Distribution and Cauchy Transforms. Tempered Distributions and Fourier Transforms. Orthogonal Expansions of Distribution. Appendix: Sequential Completeness of some Spaces.

OTI #1: 2876

✦ Subjects

Mathematics & Statistics;Advanced Mathematics;Analysis - Mathematics;Differential Equations;Mathematical Analysis

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