ENGLISH

Theory of Distributions

By Svetlin G. Georgiev

Book information

Publisher
Springer
Year
2015
ISBN
3319195263, 978-3-319-19526-1, 978-3-319-19527-8, 3319195271, 182-187-187-1
Language
english
Format
PDF
Filesize
900 kB (921211 bytes)
Edition
1st ed.
Pages
218\217
Library
kolxoz
Time added
2017-10-15 16:00:00

Description

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. Front Matter....Pages i-viii Introduction....Pages 1-25 Generalities on Distributions....Pages 27-63 Differentiation....Pages 65-85 Homogeneous Distributions....Pages 87-97 Direct Product of Distributions....Pages 99-107 Convolutions....Pages 109-149 Tempered Distributions....Pages 151-159 Integral Transforms....Pages 161-177 Fundamental Solutions....Pages 179-185 Sobolev Spaces....Pages 187-213 Back Matter....Pages 215-218

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