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Theory of Distributions

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 differen...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Georgiev, Svetlin G. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Theory of Distributions  |h [electronic resource] /  |c by Svetlin G. Georgiev. 
250 |a 1st ed. 2015. 
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300 |a VIII, 218 p.  |b online resource. 
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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. 
650 0 |a Functional analysis. 
650 0 |a Differential equations. 
650 0 |a Fourier analysis. 
650 1 4 |a Functional Analysis. 
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650 2 4 |a Fourier Analysis. 
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