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Theory of distributions

Georgiev, Svetlin G.

Theory of distributions

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Theory of distributions/ by Svetlin G. Georgiev.
作者:	Georgiev, Svetlin G.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	viii, 218 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Theory of distributions (Functional analysis) -
電子資源:	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:

896088
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 1067404
245 1 0 $a Theory of distributions $h [electronic resource] / $c by Svetlin G. Georgiev.
260 $a Cham : $c 2015. $b Springer International Publishing : $b Imprint: Springer,
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 896088
650 0 $a Differential equations, Partial. $3 527784
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Fourier Analysis. $3 672627
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19527-8
950 $a Mathematics and Statistics (Springer-11649)

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