Theory of Distributions

• Main Author: Georgiev, Svetlin G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Differential equations.; Partial differential equations.; Functional Analysis.; Ordinary Differential Equations.; Partial Differential Equations.; Fourier Analysis.

This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differen...

Table of Contents:

• 1 Introduction
• 2 Generalities on distributions
• 3 Differentiation
• 4 Homogeneous distributions
• 5 Direct product of distributions
• 6 Convolutions
• 7 Tempered distributions
• 8 Integral transforms
• 9 Fundamental solutions
• 10 Sobolev spaces.