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Theory of Distributions

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Theory of Distributions/ by Svetlin G. Georgiev.
Author:	Georgiev, Svetlin G.
Description:	VIII, 218 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-3-319-19527-8
ISBN:	9783319195278

Theory of Distributions
Georgiev, Svetlin G.

Theory of Distributions[electronic resource] /by Svetlin G. Georgiev. - 1st ed. 2015. - VIII, 218 p.online resource.

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

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

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Theory of Distributions
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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.
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