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Theory of distributions

Georgiev, Svetlin G.

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Theory of distributions

紀錄類型:	書目-電子資源 : 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.
內容註:	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.
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:

584042
Theory of distributions (Functional analysis)

LC Class. No.: QA324

Dewey Class. No.: 515.782

Theory of distributions
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245 1 0 $a Theory of distributions $h [electronic resource] / $c by Svetlin G. Georgiev.
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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.
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650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Fourier Analysis. $3 891095
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