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Theory of distributions

Georgiev, Svetlin G.

Theory of distributions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theory of distributionsby Svetlin G. Georgiev.
Author:	Georgiev, Svetlin G.
Published:	Cham :Springer International Publishing :2015.
Description:	viii, 218 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Theory of distributions (Functional analysis)
Online resource:	http://dx.doi.org/10.1007/978-3-319-19527-8
ISBN:	9783319195278 (electronic bk.)

Theory of distributions
Georgiev, Svetlin G.

Theory of distributions[electronic resource] /by Svetlin G. Georgiev. - Cham :Springer International Publishing :2015. - viii, 218 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783319195278 (electronic bk.)

Standard No.: 10.1007/978-3-319-19527-8doiSubjects--Topical Terms:

183830
Theory of distributions (Functional analysis)

LC Class. No.: QA324

Dewey Class. No.: 515.782

Theory of distributions
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100 1 $a Georgiev, Svetlin G. $3 728094
245 1 0 $a Theory of distributions $h [electronic resource] / $c by Svetlin G. Georgiev.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a viii, 218 p. : $b ill., digital ; $c 24 cm.
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 Theory of distributions (Functional analysis) $3 183830
650 0 $a Differential equations, Partial. $3 189753
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Fourier Analysis. $3 273776
710 2 $a SpringerLink (Online service) $3 273601
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950 $a Mathematics and Statistics (Springer-11649)