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Theory of distributions
~
Georgiev, Svetlin G.
Theory of distributions
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Theory of distributions/ by 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:
896088
Theory of distributions (Functional analysis)
LC Class. No.: QA324
Dewey Class. No.: 515.782
Theory of distributions
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[electronic resource] /
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by Svetlin G. Georgiev.
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2015.
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Springer International Publishing :
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Imprint: Springer,
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viii, 218 p. :
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ill., digital ;
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24 cm.
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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
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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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Theory of distributions (Functional analysis)
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Differential equations, Partial.
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Mathematics.
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Functional Analysis.
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Ordinary Differential Equations.
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Partial Differential Equations.
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Fourier Analysis.
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Mathematics and Statistics (Springer-11649)
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