Theory of Distributions

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...

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Bibliographic Details
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:
Online Access:Full Text via HEAL-Link
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100 1 |a Georgiev, Svetlin G.  |e author. 
245 1 0 |a Theory of Distributions  |h [electronic resource] /  |c by Svetlin G. Georgiev. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a VIII, 218 p.  |b online resource. 
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505 0 |a 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. 
520 |a 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 differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course. 
650 0 |a Mathematics. 
650 0 |a Fourier analysis. 
650 0 |a Functional analysis. 
650 0 |a Differential equations. 
650 0 |a Partial differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Ordinary Differential Equations. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Fourier Analysis. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319195261 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-19527-8  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)