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＜電子ブック＞
Theory of Distributions / by Svetlin G. Georgiev

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
本文言語	英語
大きさ	VIII, 218 p : online resource
著者標目	*Georgiev, Svetlin G author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Differential equations LCSH:Fourier analysis FREE:Functional Analysis FREE:Differential Equations FREE:Fourier Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-19527-8

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